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International Journal of the Analytic Hierarchy Process
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ISSN: 19366744

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Book
Assessment of Energy–Environment–Economy Interrelations
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ISBN: 3039288105 3039288091 Year: 2020 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Energy consumption and economic growth have been of great interest to researchers and policy-makers. Knowing the actual causal relationship between energy and the economy with respect to environmental degradation has important implications for modeling environmental and growth policies. The eleven chapters included herein aim to help researchers, academicians, and especially decision-makers to understand relevant issues and adopt appropriate methods to tackle and solve relevant environmental problems. Various methods from different disciplines are proposed and applied to various environmental and energy issues.


Book
Optimization for Decision Making
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

In the current context of the electronic governance of society, both administrations and citizens are demanding greater participation of all the actors involved in the decision-making process relative to the governance of society. This book presents collective works published in the recent Special Issue (SI) entitled “Optimization for Decision Making”. These works give an appropriate response to the new challenges raised, the decision-making process can be done by applying different methods and tools, as well as using different objectives. In real-life problems, the formulation of decision-making problems and application of optimization techniques to support decisions are particularly complex and a wide range of optimization techniques and methodologies are used to minimize risks, improve quality in making decisions, or, in general, to solve problems. In addition, a sensitivity or robustness analysis should be done to validate/analyze the influence of uncertainty regarding decision-making. This book brings together a collection of inter-/multi-disciplinary works applied to the optimization for decision making in a coherent manner.

Keywords

History of engineering & technology --- probabilistic dual hesitant fuzzy sets --- distance measures --- aggregation operators --- consumer behavior --- multi-criteria decision-making --- maximum deviation method --- Monorail --- urban transportation planning --- Analytic Network Process --- Technique for Order Preference by Similarity to Ideal Solution --- shift scheduling --- goal programming --- ANP --- natural gas combined cycle power plant --- energy sector --- Analytic Hierarchy Process (AHP) --- group decision making --- consistency --- compatibility --- multiple criteria group decision making (MCGDM) problems --- picture fuzzy sets (PFSs) --- picture 2-tuple linguistic numbers (P2TLNs) --- picture 2-tuple linguistic sets (P2TLSs) --- EDAS model --- green supplier selection --- human development --- internal security --- MCDM --- weight balancing --- WEBIRA --- cluster analysis --- homogeneous groups --- Bayesian analysis --- multiple attribute decision-making (MADM) --- q-rung orthopair fuzzy sets (q-ROFSs) --- cosine function --- cosine similarity measure --- pattern recognition --- scheme selection --- group decision-making --- hesitant fuzzy set --- interval-valued probability --- muirhead mean and programming model --- dual hesitant Pythagorean fuzzy sets (DHPFSs) --- dual hesitant Pythagorean fuzzy generalized weighted Heronian mean (DHPFGWHM) operator --- dual hesitant Pythagorean fuzzy generalized geometric weighted Heronian mean (DHPFGGWHM) operator --- supply chain management --- hesitant fuzzy element (HFE) --- Hamacher operations --- hesitant fuzzy Hamacher power-aggregation operators --- multiple-attribute decision-making (MADM) --- air traffic management --- work-shift scheduling problem --- variable neighborhood search --- performance analysis --- optimization --- decision-making --- MADM --- SAW --- COPRAS --- TOPSIS --- PROMETHEE --- MOORA --- normalization --- stability --- probabilistic dual hesitant fuzzy sets --- distance measures --- aggregation operators --- consumer behavior --- multi-criteria decision-making --- maximum deviation method --- Monorail --- urban transportation planning --- Analytic Network Process --- Technique for Order Preference by Similarity to Ideal Solution --- shift scheduling --- goal programming --- ANP --- natural gas combined cycle power plant --- energy sector --- Analytic Hierarchy Process (AHP) --- group decision making --- consistency --- compatibility --- multiple criteria group decision making (MCGDM) problems --- picture fuzzy sets (PFSs) --- picture 2-tuple linguistic numbers (P2TLNs) --- picture 2-tuple linguistic sets (P2TLSs) --- EDAS model --- green supplier selection --- human development --- internal security --- MCDM --- weight balancing --- WEBIRA --- cluster analysis --- homogeneous groups --- Bayesian analysis --- multiple attribute decision-making (MADM) --- q-rung orthopair fuzzy sets (q-ROFSs) --- cosine function --- cosine similarity measure --- pattern recognition --- scheme selection --- group decision-making --- hesitant fuzzy set --- interval-valued probability --- muirhead mean and programming model --- dual hesitant Pythagorean fuzzy sets (DHPFSs) --- dual hesitant Pythagorean fuzzy generalized weighted Heronian mean (DHPFGWHM) operator --- dual hesitant Pythagorean fuzzy generalized geometric weighted Heronian mean (DHPFGGWHM) operator --- supply chain management --- hesitant fuzzy element (HFE) --- Hamacher operations --- hesitant fuzzy Hamacher power-aggregation operators --- multiple-attribute decision-making (MADM) --- air traffic management --- work-shift scheduling problem --- variable neighborhood search --- performance analysis --- optimization --- decision-making --- MADM --- SAW --- COPRAS --- TOPSIS --- PROMETHEE --- MOORA --- normalization --- stability


Book
Optimization for Decision Making
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

In the current context of the electronic governance of society, both administrations and citizens are demanding greater participation of all the actors involved in the decision-making process relative to the governance of society. This book presents collective works published in the recent Special Issue (SI) entitled “Optimization for Decision Making”. These works give an appropriate response to the new challenges raised, the decision-making process can be done by applying different methods and tools, as well as using different objectives. In real-life problems, the formulation of decision-making problems and application of optimization techniques to support decisions are particularly complex and a wide range of optimization techniques and methodologies are used to minimize risks, improve quality in making decisions, or, in general, to solve problems. In addition, a sensitivity or robustness analysis should be done to validate/analyze the influence of uncertainty regarding decision-making. This book brings together a collection of inter-/multi-disciplinary works applied to the optimization for decision making in a coherent manner.

Keywords

History of engineering & technology --- probabilistic dual hesitant fuzzy sets --- distance measures --- aggregation operators --- consumer behavior --- multi-criteria decision-making --- maximum deviation method --- Monorail --- urban transportation planning --- Analytic Network Process --- Technique for Order Preference by Similarity to Ideal Solution --- shift scheduling --- goal programming --- ANP --- natural gas combined cycle power plant --- energy sector --- Analytic Hierarchy Process (AHP) --- group decision making --- consistency --- compatibility --- multiple criteria group decision making (MCGDM) problems --- picture fuzzy sets (PFSs) --- picture 2-tuple linguistic numbers (P2TLNs) --- picture 2-tuple linguistic sets (P2TLSs) --- EDAS model --- green supplier selection --- human development --- internal security --- MCDM --- weight balancing --- WEBIRA --- cluster analysis --- homogeneous groups --- Bayesian analysis --- multiple attribute decision-making (MADM) --- q-rung orthopair fuzzy sets (q-ROFSs) --- cosine function --- cosine similarity measure --- pattern recognition --- scheme selection --- group decision-making --- hesitant fuzzy set --- interval-valued probability --- muirhead mean and programming model --- dual hesitant Pythagorean fuzzy sets (DHPFSs) --- dual hesitant Pythagorean fuzzy generalized weighted Heronian mean (DHPFGWHM) operator --- dual hesitant Pythagorean fuzzy generalized geometric weighted Heronian mean (DHPFGGWHM) operator --- supply chain management --- hesitant fuzzy element (HFE) --- Hamacher operations --- hesitant fuzzy Hamacher power-aggregation operators --- multiple-attribute decision-making (MADM) --- air traffic management --- work-shift scheduling problem --- variable neighborhood search --- performance analysis --- optimization --- decision-making --- MADM --- SAW --- COPRAS --- TOPSIS --- PROMETHEE --- MOORA --- normalization --- stability


Book
Optimization for Decision Making
Authors: ---
Year: 2020 Publisher: Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

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Bookmark

Abstract

In the current context of the electronic governance of society, both administrations and citizens are demanding greater participation of all the actors involved in the decision-making process relative to the governance of society. This book presents collective works published in the recent Special Issue (SI) entitled “Optimization for Decision Making”. These works give an appropriate response to the new challenges raised, the decision-making process can be done by applying different methods and tools, as well as using different objectives. In real-life problems, the formulation of decision-making problems and application of optimization techniques to support decisions are particularly complex and a wide range of optimization techniques and methodologies are used to minimize risks, improve quality in making decisions, or, in general, to solve problems. In addition, a sensitivity or robustness analysis should be done to validate/analyze the influence of uncertainty regarding decision-making. This book brings together a collection of inter-/multi-disciplinary works applied to the optimization for decision making in a coherent manner.

Keywords

probabilistic dual hesitant fuzzy sets --- distance measures --- aggregation operators --- consumer behavior --- multi-criteria decision-making --- maximum deviation method --- Monorail --- urban transportation planning --- Analytic Network Process --- Technique for Order Preference by Similarity to Ideal Solution --- shift scheduling --- goal programming --- ANP --- natural gas combined cycle power plant --- energy sector --- Analytic Hierarchy Process (AHP) --- group decision making --- consistency --- compatibility --- multiple criteria group decision making (MCGDM) problems --- picture fuzzy sets (PFSs) --- picture 2-tuple linguistic numbers (P2TLNs) --- picture 2-tuple linguistic sets (P2TLSs) --- EDAS model --- green supplier selection --- human development --- internal security --- MCDM --- weight balancing --- WEBIRA --- cluster analysis --- homogeneous groups --- Bayesian analysis --- multiple attribute decision-making (MADM) --- q-rung orthopair fuzzy sets (q-ROFSs) --- cosine function --- cosine similarity measure --- pattern recognition --- scheme selection --- group decision-making --- hesitant fuzzy set --- interval-valued probability --- muirhead mean and programming model --- dual hesitant Pythagorean fuzzy sets (DHPFSs) --- dual hesitant Pythagorean fuzzy generalized weighted Heronian mean (DHPFGWHM) operator --- dual hesitant Pythagorean fuzzy generalized geometric weighted Heronian mean (DHPFGGWHM) operator --- supply chain management --- hesitant fuzzy element (HFE) --- Hamacher operations --- hesitant fuzzy Hamacher power-aggregation operators --- multiple-attribute decision-making (MADM) --- air traffic management --- work-shift scheduling problem --- variable neighborhood search --- performance analysis --- optimization --- decision-making --- MADM --- SAW --- COPRAS --- TOPSIS --- PROMETHEE --- MOORA --- normalization --- stability


Book
Mathematical Methods, Modelling and Applications
Authors: ---
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This volume deals with novel high-quality research results of a wide class of mathematical models with applications in engineering, nature, and social sciences. Analytical and numeric, deterministic and uncertain dimensions are treated. Complex and multidisciplinary models are treated, including novel techniques of obtaining observation data and pattern recognition. Among the examples of treated problems, we encounter problems in engineering, social sciences, physics, biology, and health sciences. The novelty arises with respect to the mathematical treatment of the problem. Mathematical models are built, some of them under a deterministic approach, and other ones taking into account the uncertainty of the data, deriving random models. Several resulting mathematical representations of the models are shown as equations and systems of equations of different types: difference equations, ordinary differential equations, partial differential equations, integral equations, and algebraic equations. Across the chapters of the book, a wide class of approaches can be found to solve the displayed mathematical models, from analytical to numeric techniques, such as finite difference schemes, finite volume methods, iteration schemes, and numerical integration methods.

Keywords

Research & information: general --- Mathematics & science --- mathematical modeling --- infiltration well --- differential equations --- porous medium --- fractal conductivity model --- incomplete rankings --- Kendall's tau --- permutation graph --- competitive balance --- Spotify --- collocation --- volterra integral equation --- highly oscillatory --- convergence --- areal porosity --- volumetric porosity --- fractal area-volume relationship --- tortuosity factor --- joint probability --- corrugated box printing machine --- modified Delphi method --- analytic network process (ANP) --- supplier --- nonlinear system --- iterative method --- divided difference operator --- stability --- parameter plane --- dynamical plane --- random hyperbolic model --- random laplace transform --- numerical integration --- monte carlo method --- numerical simulation --- talbot algorithm --- stochastic perturbations --- random nonlinear oscillator --- maximum entropy principle --- probability density function --- stationary Gaussian noise --- random mean square parabolic model --- finite degree of randomness --- random finite difference scheme --- relativistic harmonic oscillator --- kinematics of a particle --- special relativity --- nonlinear problems in mechanics --- equations of motion in gravitational theory --- virus propagation --- stochastic modeling --- Gillespie algorithm --- conservative formulation --- multidimensional fragmentation equation --- weight functions --- finite volume scheme --- contamination plume --- advection-diffusion --- universal curves --- Dirichlet-to-Neumann map --- Schrödinger operator --- contagion effect --- difference equation --- elections --- labor condition --- mathematical compartmental discrete model --- political corruption --- revolving doors --- sensitivity analysis --- simulation --- numerical methods --- integro-interpolation method --- splitting method --- convergence of models --- standard deviation of the error --- diabetic retinopathy --- ocular fundus --- laser coagulation --- optical coherence tomography --- image processing --- segmentation --- safe treatment --- Hermite interpolation --- nodal systems --- unit circle --- circular membrane --- fluid-structure interaction --- differential-integral equations --- power series method --- closed-form solution --- time series model --- wavelet transform --- ARIMA model --- neural network NARX --- ionospheric parameters --- courtyard --- climate change --- microclimate --- Support Vector Regression (SVR) --- machine learning --- matrix functions --- matrix hyperbolic tangent --- matrix exponential --- Taylor series --- matrix polynomial evaluation --- mathematical modeling --- infiltration well --- differential equations --- porous medium --- fractal conductivity model --- incomplete rankings --- Kendall's tau --- permutation graph --- competitive balance --- Spotify --- collocation --- volterra integral equation --- highly oscillatory --- convergence --- areal porosity --- volumetric porosity --- fractal area-volume relationship --- tortuosity factor --- joint probability --- corrugated box printing machine --- modified Delphi method --- analytic network process (ANP) --- supplier --- nonlinear system --- iterative method --- divided difference operator --- stability --- parameter plane --- dynamical plane --- random hyperbolic model --- random laplace transform --- numerical integration --- monte carlo method --- numerical simulation --- talbot algorithm --- stochastic perturbations --- random nonlinear oscillator --- maximum entropy principle --- probability density function --- stationary Gaussian noise --- random mean square parabolic model --- finite degree of randomness --- random finite difference scheme --- relativistic harmonic oscillator --- kinematics of a particle --- special relativity --- nonlinear problems in mechanics --- equations of motion in gravitational theory --- virus propagation --- stochastic modeling --- Gillespie algorithm --- conservative formulation --- multidimensional fragmentation equation --- weight functions --- finite volume scheme --- contamination plume --- advection-diffusion --- universal curves --- Dirichlet-to-Neumann map --- Schrödinger operator --- contagion effect --- difference equation --- elections --- labor condition --- mathematical compartmental discrete model --- political corruption --- revolving doors --- sensitivity analysis --- simulation --- numerical methods --- integro-interpolation method --- splitting method --- convergence of models --- standard deviation of the error --- diabetic retinopathy --- ocular fundus --- laser coagulation --- optical coherence tomography --- image processing --- segmentation --- safe treatment --- Hermite interpolation --- nodal systems --- unit circle --- circular membrane --- fluid-structure interaction --- differential-integral equations --- power series method --- closed-form solution --- time series model --- wavelet transform --- ARIMA model --- neural network NARX --- ionospheric parameters --- courtyard --- climate change --- microclimate --- Support Vector Regression (SVR) --- machine learning --- matrix functions --- matrix hyperbolic tangent --- matrix exponential --- Taylor series --- matrix polynomial evaluation


Book
Mathematical Methods, Modelling and Applications
Authors: ---
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

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Abstract

This volume deals with novel high-quality research results of a wide class of mathematical models with applications in engineering, nature, and social sciences. Analytical and numeric, deterministic and uncertain dimensions are treated. Complex and multidisciplinary models are treated, including novel techniques of obtaining observation data and pattern recognition. Among the examples of treated problems, we encounter problems in engineering, social sciences, physics, biology, and health sciences. The novelty arises with respect to the mathematical treatment of the problem. Mathematical models are built, some of them under a deterministic approach, and other ones taking into account the uncertainty of the data, deriving random models. Several resulting mathematical representations of the models are shown as equations and systems of equations of different types: difference equations, ordinary differential equations, partial differential equations, integral equations, and algebraic equations. Across the chapters of the book, a wide class of approaches can be found to solve the displayed mathematical models, from analytical to numeric techniques, such as finite difference schemes, finite volume methods, iteration schemes, and numerical integration methods.

Keywords

Research & information: general --- Mathematics & science --- mathematical modeling --- infiltration well --- differential equations --- porous medium --- fractal conductivity model --- incomplete rankings --- Kendall’s tau --- permutation graph --- competitive balance --- Spotify --- collocation --- volterra integral equation --- highly oscillatory --- convergence --- areal porosity --- volumetric porosity --- fractal area-volume relationship --- tortuosity factor --- joint probability --- corrugated box printing machine --- modified Delphi method --- analytic network process (ANP) --- supplier --- nonlinear system --- iterative method --- divided difference operator --- stability --- parameter plane --- dynamical plane --- random hyperbolic model --- random laplace transform --- numerical integration --- monte carlo method --- numerical simulation --- talbot algorithm --- stochastic perturbations --- random nonlinear oscillator --- maximum entropy principle --- probability density function --- stationary Gaussian noise --- random mean square parabolic model --- finite degree of randomness --- random finite difference scheme --- relativistic harmonic oscillator --- kinematics of a particle --- special relativity --- nonlinear problems in mechanics --- equations of motion in gravitational theory --- virus propagation --- stochastic modeling --- Gillespie algorithm --- conservative formulation --- multidimensional fragmentation equation --- weight functions --- finite volume scheme --- contamination plume --- advection-diffusion --- universal curves --- Dirichlet-to-Neumann map --- Schrödinger operator --- contagion effect --- difference equation --- elections --- labor condition --- mathematical compartmental discrete model --- political corruption --- revolving doors --- sensitivity analysis --- simulation --- numerical methods --- integro-interpolation method --- splitting method --- convergence of models --- standard deviation of the error --- diabetic retinopathy --- ocular fundus --- laser coagulation --- optical coherence tomography --- image processing --- segmentation --- safe treatment --- Hermite interpolation --- nodal systems --- unit circle --- circular membrane --- fluid-structure interaction --- differential-integral equations --- power series method --- closed-form solution --- time series model --- wavelet transform --- ARIMA model --- neural network NARX --- ionospheric parameters --- courtyard --- climate change --- microclimate --- Support Vector Regression (SVR) --- machine learning --- matrix functions --- matrix hyperbolic tangent --- matrix exponential --- Taylor series --- matrix polynomial evaluation --- n/a --- Kendall's tau --- Schrödinger operator


Book
Mathematical Methods, Modelling and Applications
Authors: ---
Year: 2022 Publisher: Basel MDPI - Multidisciplinary Digital Publishing Institute

Loading...
Export citation

Choose an application

Bookmark

Abstract

This volume deals with novel high-quality research results of a wide class of mathematical models with applications in engineering, nature, and social sciences. Analytical and numeric, deterministic and uncertain dimensions are treated. Complex and multidisciplinary models are treated, including novel techniques of obtaining observation data and pattern recognition. Among the examples of treated problems, we encounter problems in engineering, social sciences, physics, biology, and health sciences. The novelty arises with respect to the mathematical treatment of the problem. Mathematical models are built, some of them under a deterministic approach, and other ones taking into account the uncertainty of the data, deriving random models. Several resulting mathematical representations of the models are shown as equations and systems of equations of different types: difference equations, ordinary differential equations, partial differential equations, integral equations, and algebraic equations. Across the chapters of the book, a wide class of approaches can be found to solve the displayed mathematical models, from analytical to numeric techniques, such as finite difference schemes, finite volume methods, iteration schemes, and numerical integration methods.

Keywords

mathematical modeling --- infiltration well --- differential equations --- porous medium --- fractal conductivity model --- incomplete rankings --- Kendall’s tau --- permutation graph --- competitive balance --- Spotify --- collocation --- volterra integral equation --- highly oscillatory --- convergence --- areal porosity --- volumetric porosity --- fractal area-volume relationship --- tortuosity factor --- joint probability --- corrugated box printing machine --- modified Delphi method --- analytic network process (ANP) --- supplier --- nonlinear system --- iterative method --- divided difference operator --- stability --- parameter plane --- dynamical plane --- random hyperbolic model --- random laplace transform --- numerical integration --- monte carlo method --- numerical simulation --- talbot algorithm --- stochastic perturbations --- random nonlinear oscillator --- maximum entropy principle --- probability density function --- stationary Gaussian noise --- random mean square parabolic model --- finite degree of randomness --- random finite difference scheme --- relativistic harmonic oscillator --- kinematics of a particle --- special relativity --- nonlinear problems in mechanics --- equations of motion in gravitational theory --- virus propagation --- stochastic modeling --- Gillespie algorithm --- conservative formulation --- multidimensional fragmentation equation --- weight functions --- finite volume scheme --- contamination plume --- advection-diffusion --- universal curves --- Dirichlet-to-Neumann map --- Schrödinger operator --- contagion effect --- difference equation --- elections --- labor condition --- mathematical compartmental discrete model --- political corruption --- revolving doors --- sensitivity analysis --- simulation --- numerical methods --- integro-interpolation method --- splitting method --- convergence of models --- standard deviation of the error --- diabetic retinopathy --- ocular fundus --- laser coagulation --- optical coherence tomography --- image processing --- segmentation --- safe treatment --- Hermite interpolation --- nodal systems --- unit circle --- circular membrane --- fluid-structure interaction --- differential-integral equations --- power series method --- closed-form solution --- time series model --- wavelet transform --- ARIMA model --- neural network NARX --- ionospheric parameters --- courtyard --- climate change --- microclimate --- Support Vector Regression (SVR) --- machine learning --- matrix functions --- matrix hyperbolic tangent --- matrix exponential --- Taylor series --- matrix polynomial evaluation --- n/a --- Kendall's tau --- Schrödinger operator


Book
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets.
Authors: --- ---
Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute,

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Keywords

similarity measure --- generalized partitioned Bonferroni mean operator --- normal distribution --- school administrator --- complex neutrosophic set --- expert set --- neutrosophic classification --- multi-attribute decision-making (MADM) --- multi-criteria decision-making (MCDM) techniques --- criterion functions --- matrix representation --- possibility degree --- quantum computation --- typhoon disaster evaluation --- NT-subgroup --- generalized neutrosophic ideal --- three-way decisions --- decision-making --- G-metric --- multiple attribute group decision-making (MAGDM) --- SVM --- semi-neutrosophic triplets --- LA-semihypergroups --- power operator --- fuzzy graph --- neutrosophic cubic graphs --- LNGPBM operator --- neutrosophic c-means clustering --- (commutative) ideal --- region growing --- clustering algorithm --- Neutrosophic cubic sets --- forecasting --- vector similarity measure --- totally dependent-neutrosophic soft set --- Fenyves identities --- TODIM model --- similarity measures --- CI-algebra --- Dice measure --- de-neutrosophication methods --- DSmT --- semigroup --- VIKOR model --- multigranulation neutrosophic rough set (MNRS) --- simplified neutrosophic linguistic numbers --- Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) --- multi-criteria group decision making --- multi-attribute group decision-making (MAGDM) --- exponential operational laws of interval neutrosophic numbers --- simplified neutrosophic weighted averaging operator --- neutro-epimorphism --- Choquet integral --- fixed point theory (FPT) --- computability --- neutrosophic triplet set --- interval-valued neutrosophic set --- simplified neutrosophic sets (SNSs) --- totally dependent-neutrosophic set --- Maclaurin symmetric mean --- recursive enumerability --- loop --- photovoltaic plan --- intersection --- neutrosophic bipolar fuzzy set --- big data --- inclusion relation --- dual aggregation operators --- Hamming distance --- neutro-automorphism --- neutrosophic set theory --- multiple attribute decision-making --- multicriteria decision-making --- pseudo primitive elements --- medical diagnosis --- neutrosophic G-metric --- bipolar fuzzy set --- NC power dual MM operator (NCPDMM) operator --- neutrosophic sets (NSs) --- emerging technology commercialization --- neutrosophic triplet groups --- probabilistic rough sets over two universes --- neutrosophic triplet set (NTS) --- neutrosophic triplet cosets --- MM operator --- TOPSIS --- cloud model --- extended ELECTRE III --- extended TOPSIS method --- 2ingle-valued neutrosophic set --- dual domains --- probabilistic single-valued (interval) neutrosophic hesitant fuzzy set --- Jaccard measure --- data mining --- BE-algebra --- neutrosophic soft set --- aggregation operators --- image segmentation --- multiple attribute decision making (MADM) --- neutrosophic duplets --- fundamental neutro-homomorphism theorem --- neutro-homomorphism --- power aggregation operator --- linear and non-linear neutrosophic number --- multi-attribute decision making --- first neutro-isomorphism theorem --- MCGDM problems --- neutrosophic bipolar fuzzy weighted averaging operator --- Bonferroni mean --- analytic hierarchy process (AHP) --- quasigroup --- action learning --- weak commutative neutrosophic triplet group --- generalized aggregation operators --- single valued neutrosophic multiset (SVNM) --- sustainable supplier selection problems (SSSPs) --- LNGWPBM operator --- skin cancer --- oracle computation --- fault diagnosis --- interval valued neutrosophic support soft sets --- neutrosophic triplet normal subgroups --- soft set --- multi-criteria decision-making --- neutrosophic triplet --- generalized group --- neutrosophic multiset (NM) --- two universes --- algorithm --- multi-attribute decision making (MADM) --- PA operator --- BCI-algebra --- neutrosophic triplet group (NTG) --- single valued trapezoidal neutrosophic number --- quasi neutrosophic triplet loop --- neutrosophy --- complex neutrosophic graph --- S-semigroup of neutrosophic triplets --- and second neutro-isomorphism theorem --- MADM --- dermoscopy --- linguistic neutrosophic sets --- defuzzification --- construction project --- potential evaluation --- neutrosophic big data --- decision-making algorithms --- neutosophic extended triplet subgroups --- applications of neutrosophic cubic graphs --- fuzzy time series --- TFNNs VIKOR method --- two-factor fuzzy logical relationship --- oracle Turing machines --- grasp type --- interval neutrosophic sets --- multi-criteria group decision-making --- interval neutrosophic weighted exponential aggregation (INWEA) operator --- power aggregation operators --- neutrosophic triplet group --- MGNRS --- 2-tuple linguistic neutrosophic sets (2TLNSs) --- computation --- filter --- multi-valued neutrosophic set --- integrated weight --- Bol-Moufang --- prioritized operator --- interval number --- logic --- pseudo-BCI algebra --- interval neutrosophic set (INS) --- neutrosophic rough set --- soft sets --- Q-neutrosophic --- Linguistic neutrosophic sets --- fuzzy measure --- homomorphism theorem --- commutative generalized neutrosophic ideal --- neutrosophic association rule --- shopping mall --- dependent degree --- Q-linguistic neutrosophic variable set --- quasi neutrosophic loops --- symmetry --- neutrosophic sets --- neutrosophic logic --- neutrosophic cubic set --- complement --- robotic dexterous hands --- neutro-monomorphism --- group --- analytic network process --- Muirhead mean --- maximizing deviation --- classical group of neutrosophic triplets --- neutrosophic triplet quotient groups --- generalized neutrosophic set --- multi-criteria group decision-making (MCGDM) --- support soft sets --- decision making --- generalized De Morgan algebra --- multiple attribute group decision making (MAGDM) --- single-valued neutrosophic multisets --- 2TLNNs TODIM method --- membership --- grasping configurations --- single valued neutrosophic set (SVNS) --- multiple attribute decision making problem --- SWOT analysis --- neutrosophic clustering --- hesitant fuzzy set --- interval neutrosophic numbers (INNs) --- quasi neutrosophic triplet group --- triangular fuzzy neutrosophic sets (TFNSs) --- interdependency of criteria --- aggregation operator --- cosine measure --- neutrosophic set --- neutrosophic computation --- decision-making trial and evaluation laboratory (DEMATEL) --- partial metric spaces (PMS) --- NCPMM operator --- clustering --- similarity measure --- generalized partitioned Bonferroni mean operator --- normal distribution --- school administrator --- complex neutrosophic set --- expert set --- neutrosophic classification --- multi-attribute decision-making (MADM) --- multi-criteria decision-making (MCDM) techniques --- criterion functions --- matrix representation --- possibility degree --- quantum computation --- typhoon disaster evaluation --- NT-subgroup --- generalized neutrosophic ideal --- three-way decisions --- decision-making --- G-metric --- multiple attribute group decision-making (MAGDM) --- SVM --- semi-neutrosophic triplets --- LA-semihypergroups --- power operator --- fuzzy graph --- neutrosophic cubic graphs --- LNGPBM operator --- neutrosophic c-means clustering --- (commutative) ideal --- region growing --- clustering algorithm --- Neutrosophic cubic sets --- forecasting --- vector similarity measure --- totally dependent-neutrosophic soft set --- Fenyves identities --- TODIM model --- similarity measures --- CI-algebra --- Dice measure --- de-neutrosophication methods --- DSmT --- semigroup --- VIKOR model --- multigranulation neutrosophic rough set (MNRS) --- simplified neutrosophic linguistic numbers --- Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) --- multi-criteria group decision making --- multi-attribute group decision-making (MAGDM) --- exponential operational laws of interval neutrosophic numbers --- simplified neutrosophic weighted averaging operator --- neutro-epimorphism --- Choquet integral --- fixed point theory (FPT) --- computability --- neutrosophic triplet set --- interval-valued neutrosophic set --- simplified neutrosophic sets (SNSs) --- totally dependent-neutrosophic set --- Maclaurin symmetric mean --- recursive enumerability --- loop --- photovoltaic plan --- intersection --- neutrosophic bipolar fuzzy set --- big data --- inclusion relation --- dual aggregation operators --- Hamming distance --- neutro-automorphism --- neutrosophic set theory --- multiple attribute decision-making --- multicriteria decision-making --- pseudo primitive elements --- medical diagnosis --- neutrosophic G-metric --- bipolar fuzzy set --- NC power dual MM operator (NCPDMM) operator --- neutrosophic sets (NSs) --- emerging technology commercialization --- neutrosophic triplet groups --- probabilistic rough sets over two universes --- neutrosophic triplet set (NTS) --- neutrosophic triplet cosets --- MM operator --- TOPSIS --- cloud model --- extended ELECTRE III --- extended TOPSIS method --- 2ingle-valued neutrosophic set --- dual domains --- probabilistic single-valued (interval) neutrosophic hesitant fuzzy set --- Jaccard measure --- data mining --- BE-algebra --- neutrosophic soft set --- aggregation operators --- image segmentation --- multiple attribute decision making (MADM) --- neutrosophic duplets --- fundamental neutro-homomorphism theorem --- neutro-homomorphism --- power aggregation operator --- linear and non-linear neutrosophic number --- multi-attribute decision making --- first neutro-isomorphism theorem --- MCGDM problems --- neutrosophic bipolar fuzzy weighted averaging operator --- Bonferroni mean --- analytic hierarchy process (AHP) --- quasigroup --- action learning --- weak commutative neutrosophic triplet group --- generalized aggregation operators --- single valued neutrosophic multiset (SVNM) --- sustainable supplier selection problems (SSSPs) --- LNGWPBM operator --- skin cancer --- oracle computation --- fault diagnosis --- interval valued neutrosophic support soft sets --- neutrosophic triplet normal subgroups --- soft set --- multi-criteria decision-making --- neutrosophic triplet --- generalized group --- neutrosophic multiset (NM) --- two universes --- algorithm --- multi-attribute decision making (MADM) --- PA operator --- BCI-algebra --- neutrosophic triplet group (NTG) --- single valued trapezoidal neutrosophic number --- quasi neutrosophic triplet loop --- neutrosophy --- complex neutrosophic graph --- S-semigroup of neutrosophic triplets --- and second neutro-isomorphism theorem --- MADM --- dermoscopy --- linguistic neutrosophic sets --- defuzzification --- construction project --- potential evaluation --- neutrosophic big data --- decision-making algorithms --- neutosophic extended triplet subgroups --- applications of neutrosophic cubic graphs --- fuzzy time series --- TFNNs VIKOR method --- two-factor fuzzy logical relationship --- oracle Turing machines --- grasp type --- interval neutrosophic sets --- multi-criteria group decision-making --- interval neutrosophic weighted exponential aggregation (INWEA) operator --- power aggregation operators --- neutrosophic triplet group --- MGNRS --- 2-tuple linguistic neutrosophic sets (2TLNSs) --- computation --- filter --- multi-valued neutrosophic set --- integrated weight --- Bol-Moufang --- prioritized operator --- interval number --- logic --- pseudo-BCI algebra --- interval neutrosophic set (INS) --- neutrosophic rough set --- soft sets --- Q-neutrosophic --- Linguistic neutrosophic sets --- fuzzy measure --- homomorphism theorem --- commutative generalized neutrosophic ideal --- neutrosophic association rule --- shopping mall --- dependent degree --- Q-linguistic neutrosophic variable set --- quasi neutrosophic loops --- symmetry --- neutrosophic sets --- neutrosophic logic --- neutrosophic cubic set --- complement --- robotic dexterous hands --- neutro-monomorphism --- group --- analytic network process --- Muirhead mean --- maximizing deviation --- classical group of neutrosophic triplets --- neutrosophic triplet quotient groups --- generalized neutrosophic set --- multi-criteria group decision-making (MCGDM) --- support soft sets --- decision making --- generalized De Morgan algebra --- multiple attribute group decision making (MAGDM) --- single-valued neutrosophic multisets --- 2TLNNs TODIM method --- membership --- grasping configurations --- single valued neutrosophic set (SVNS) --- multiple attribute decision making problem --- SWOT analysis --- neutrosophic clustering --- hesitant fuzzy set --- interval neutrosophic numbers (INNs) --- quasi neutrosophic triplet group --- triangular fuzzy neutrosophic sets (TFNSs) --- interdependency of criteria --- aggregation operator --- cosine measure --- neutrosophic set --- neutrosophic computation --- decision-making trial and evaluation laboratory (DEMATEL) --- partial metric spaces (PMS) --- NCPMM operator --- clustering


Book
Algebraic Structures of Neutrosophic Triplets, Neutrosophic Duplets, or Neutrosophic Multisets.
Authors: --- ---
Year: 2019 Publisher: MDPI - Multidisciplinary Digital Publishing Institute

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Keywords

similarity measure --- generalized partitioned Bonferroni mean operator --- normal distribution --- school administrator --- complex neutrosophic set --- expert set --- neutrosophic classification --- multi-attribute decision-making (MADM) --- multi-criteria decision-making (MCDM) techniques --- criterion functions --- matrix representation --- possibility degree --- quantum computation --- typhoon disaster evaluation --- NT-subgroup --- generalized neutrosophic ideal --- three-way decisions --- decision-making --- G-metric --- multiple attribute group decision-making (MAGDM) --- SVM --- semi-neutrosophic triplets --- LA-semihypergroups --- power operator --- fuzzy graph --- neutrosophic cubic graphs --- LNGPBM operator --- neutrosophic c-means clustering --- (commutative) ideal --- region growing --- clustering algorithm --- Neutrosophic cubic sets --- forecasting --- vector similarity measure --- totally dependent-neutrosophic soft set --- Fenyves identities --- TODIM model --- similarity measures --- CI-algebra --- Dice measure --- de-neutrosophication methods --- DSmT --- semigroup --- VIKOR model --- multigranulation neutrosophic rough set (MNRS) --- simplified neutrosophic linguistic numbers --- Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) --- multi-criteria group decision making --- multi-attribute group decision-making (MAGDM) --- exponential operational laws of interval neutrosophic numbers --- simplified neutrosophic weighted averaging operator --- neutro-epimorphism --- Choquet integral --- fixed point theory (FPT) --- computability --- neutrosophic triplet set --- interval-valued neutrosophic set --- simplified neutrosophic sets (SNSs) --- totally dependent-neutrosophic set --- Maclaurin symmetric mean --- recursive enumerability --- loop --- photovoltaic plan --- intersection --- neutrosophic bipolar fuzzy set --- big data --- inclusion relation --- dual aggregation operators --- Hamming distance --- neutro-automorphism --- neutrosophic set theory --- multiple attribute decision-making --- multicriteria decision-making --- pseudo primitive elements --- medical diagnosis --- neutrosophic G-metric --- bipolar fuzzy set --- NC power dual MM operator (NCPDMM) operator --- neutrosophic sets (NSs) --- emerging technology commercialization --- neutrosophic triplet groups --- probabilistic rough sets over two universes --- neutrosophic triplet set (NTS) --- neutrosophic triplet cosets --- MM operator --- TOPSIS --- cloud model --- extended ELECTRE III --- extended TOPSIS method --- 2ingle-valued neutrosophic set --- dual domains --- probabilistic single-valued (interval) neutrosophic hesitant fuzzy set --- Jaccard measure --- data mining --- BE-algebra --- neutrosophic soft set --- aggregation operators --- image segmentation --- multiple attribute decision making (MADM) --- neutrosophic duplets --- fundamental neutro-homomorphism theorem --- neutro-homomorphism --- power aggregation operator --- linear and non-linear neutrosophic number --- multi-attribute decision making --- first neutro-isomorphism theorem --- MCGDM problems --- neutrosophic bipolar fuzzy weighted averaging operator --- Bonferroni mean --- analytic hierarchy process (AHP) --- quasigroup --- action learning --- weak commutative neutrosophic triplet group --- generalized aggregation operators --- single valued neutrosophic multiset (SVNM) --- sustainable supplier selection problems (SSSPs) --- LNGWPBM operator --- skin cancer --- oracle computation --- fault diagnosis --- interval valued neutrosophic support soft sets --- neutrosophic triplet normal subgroups --- soft set --- multi-criteria decision-making --- neutrosophic triplet --- generalized group --- neutrosophic multiset (NM) --- two universes --- algorithm --- multi-attribute decision making (MADM) --- PA operator --- BCI-algebra --- neutrosophic triplet group (NTG) --- single valued trapezoidal neutrosophic number --- quasi neutrosophic triplet loop --- neutrosophy --- complex neutrosophic graph --- S-semigroup of neutrosophic triplets --- and second neutro-isomorphism theorem --- MADM --- dermoscopy --- linguistic neutrosophic sets --- defuzzification --- construction project --- potential evaluation --- neutrosophic big data --- decision-making algorithms --- neutosophic extended triplet subgroups --- applications of neutrosophic cubic graphs --- fuzzy time series --- TFNNs VIKOR method --- two-factor fuzzy logical relationship --- oracle Turing machines --- grasp type --- interval neutrosophic sets --- multi-criteria group decision-making --- interval neutrosophic weighted exponential aggregation (INWEA) operator --- power aggregation operators --- neutrosophic triplet group --- MGNRS --- 2-tuple linguistic neutrosophic sets (2TLNSs) --- computation --- filter --- multi-valued neutrosophic set --- integrated weight --- Bol-Moufang --- prioritized operator --- interval number --- logic --- pseudo-BCI algebra --- interval neutrosophic set (INS) --- neutrosophic rough set --- soft sets --- Q-neutrosophic --- Linguistic neutrosophic sets --- fuzzy measure --- homomorphism theorem --- commutative generalized neutrosophic ideal --- neutrosophic association rule --- shopping mall --- dependent degree --- Q-linguistic neutrosophic variable set --- quasi neutrosophic loops --- symmetry --- neutrosophic sets --- neutrosophic logic --- neutrosophic cubic set --- complement --- robotic dexterous hands --- neutro-monomorphism --- group --- analytic network process --- Muirhead mean --- maximizing deviation --- classical group of neutrosophic triplets --- neutrosophic triplet quotient groups --- generalized neutrosophic set --- multi-criteria group decision-making (MCGDM) --- support soft sets --- decision making --- generalized De Morgan algebra --- multiple attribute group decision making (MAGDM) --- single-valued neutrosophic multisets --- 2TLNNs TODIM method --- membership --- grasping configurations --- single valued neutrosophic set (SVNS) --- multiple attribute decision making problem --- SWOT analysis --- neutrosophic clustering --- hesitant fuzzy set --- interval neutrosophic numbers (INNs) --- quasi neutrosophic triplet group --- triangular fuzzy neutrosophic sets (TFNSs) --- interdependency of criteria --- aggregation operator --- cosine measure --- neutrosophic set --- neutrosophic computation --- decision-making trial and evaluation laboratory (DEMATEL) --- partial metric spaces (PMS) --- NCPMM operator --- clustering --- similarity measure --- generalized partitioned Bonferroni mean operator --- normal distribution --- school administrator --- complex neutrosophic set --- expert set --- neutrosophic classification --- multi-attribute decision-making (MADM) --- multi-criteria decision-making (MCDM) techniques --- criterion functions --- matrix representation --- possibility degree --- quantum computation --- typhoon disaster evaluation --- NT-subgroup --- generalized neutrosophic ideal --- three-way decisions --- decision-making --- G-metric --- multiple attribute group decision-making (MAGDM) --- SVM --- semi-neutrosophic triplets --- LA-semihypergroups --- power operator --- fuzzy graph --- neutrosophic cubic graphs --- LNGPBM operator --- neutrosophic c-means clustering --- (commutative) ideal --- region growing --- clustering algorithm --- Neutrosophic cubic sets --- forecasting --- vector similarity measure --- totally dependent-neutrosophic soft set --- Fenyves identities --- TODIM model --- similarity measures --- CI-algebra --- Dice measure --- de-neutrosophication methods --- DSmT --- semigroup --- VIKOR model --- multigranulation neutrosophic rough set (MNRS) --- simplified neutrosophic linguistic numbers --- Technique for Order Preference by Similarity to an Ideal Solution (TOPSIS) --- multi-criteria group decision making --- multi-attribute group decision-making (MAGDM) --- exponential operational laws of interval neutrosophic numbers --- simplified neutrosophic weighted averaging operator --- neutro-epimorphism --- Choquet integral --- fixed point theory (FPT) --- computability --- neutrosophic triplet set --- interval-valued neutrosophic set --- simplified neutrosophic sets (SNSs) --- totally dependent-neutrosophic set --- Maclaurin symmetric mean --- recursive enumerability --- loop --- photovoltaic plan --- intersection --- neutrosophic bipolar fuzzy set --- big data --- inclusion relation --- dual aggregation operators --- Hamming distance --- neutro-automorphism --- neutrosophic set theory --- multiple attribute decision-making --- multicriteria decision-making --- pseudo primitive elements --- medical diagnosis --- neutrosophic G-metric --- bipolar fuzzy set --- NC power dual MM operator (NCPDMM) operator --- neutrosophic sets (NSs) --- emerging technology commercialization --- neutrosophic triplet groups --- probabilistic rough sets over two universes --- neutrosophic triplet set (NTS) --- neutrosophic triplet cosets --- MM operator --- TOPSIS --- cloud model --- extended ELECTRE III --- extended TOPSIS method --- 2ingle-valued neutrosophic set --- dual domains --- probabilistic single-valued (interval) neutrosophic hesitant fuzzy set --- Jaccard measure --- data mining --- BE-algebra --- neutrosophic soft set --- aggregation operators --- image segmentation --- multiple attribute decision making (MADM) --- neutrosophic duplets --- fundamental neutro-homomorphism theorem --- neutro-homomorphism --- power aggregation operator --- linear and non-linear neutrosophic number --- multi-attribute decision making --- first neutro-isomorphism theorem --- MCGDM problems --- neutrosophic bipolar fuzzy weighted averaging operator --- Bonferroni mean --- analytic hierarchy process (AHP) --- quasigroup --- action learning --- weak commutative neutrosophic triplet group --- generalized aggregation operators --- single valued neutrosophic multiset (SVNM) --- sustainable supplier selection problems (SSSPs) --- LNGWPBM operator --- skin cancer --- oracle computation --- fault diagnosis --- interval valued neutrosophic support soft sets --- neutrosophic triplet normal subgroups --- soft set --- multi-criteria decision-making --- neutrosophic triplet --- generalized group --- neutrosophic multiset (NM) --- two universes --- algorithm --- multi-attribute decision making (MADM) --- PA operator --- BCI-algebra --- neutrosophic triplet group (NTG) --- single valued trapezoidal neutrosophic number --- quasi neutrosophic triplet loop --- neutrosophy --- complex neutrosophic graph --- S-semigroup of neutrosophic triplets --- and second neutro-isomorphism theorem --- MADM --- dermoscopy --- linguistic neutrosophic sets --- defuzzification --- construction project --- potential evaluation --- neutrosophic big data --- decision-making algorithms --- neutosophic extended triplet subgroups --- applications of neutrosophic cubic graphs --- fuzzy time series --- TFNNs VIKOR method --- two-factor fuzzy logical relationship --- oracle Turing machines --- grasp type --- interval neutrosophic sets --- multi-criteria group decision-making --- interval neutrosophic weighted exponential aggregation (INWEA) operator --- power aggregation operators --- neutrosophic triplet group --- MGNRS --- 2-tuple linguistic neutrosophic sets (2TLNSs) --- computation --- filter --- multi-valued neutrosophic set --- integrated weight --- Bol-Moufang --- prioritized operator --- interval number --- logic --- pseudo-BCI algebra --- interval neutrosophic set (INS) --- neutrosophic rough set --- soft sets --- Q-neutrosophic --- Linguistic neutrosophic sets --- fuzzy measure --- homomorphism theorem --- commutative generalized neutrosophic ideal --- neutrosophic association rule --- shopping mall --- dependent degree --- Q-linguistic neutrosophic variable set --- quasi neutrosophic loops --- symmetry --- neutrosophic sets --- neutrosophic logic --- neutrosophic cubic set --- complement --- robotic dexterous hands --- neutro-monomorphism --- group --- analytic network process --- Muirhead mean --- maximizing deviation --- classical group of neutrosophic triplets --- neutrosophic triplet quotient groups --- generalized neutrosophic set --- multi-criteria group decision-making (MCGDM) --- support soft sets --- decision making --- generalized De Morgan algebra --- multiple attribute group decision making (MAGDM) --- single-valued neutrosophic multisets --- 2TLNNs TODIM method --- membership --- grasping configurations --- single valued neutrosophic set (SVNS) --- multiple attribute decision making problem --- SWOT analysis --- neutrosophic clustering --- hesitant fuzzy set --- interval neutrosophic numbers (INNs) --- quasi neutrosophic triplet group --- triangular fuzzy neutrosophic sets (TFNSs) --- interdependency of criteria --- aggregation operator --- cosine measure --- neutrosophic set --- neutrosophic computation --- decision-making trial and evaluation laboratory (DEMATEL) --- partial metric spaces (PMS) --- NCPMM operator --- clustering

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