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The book is addressed to architects and civil engineers. Design and research are areas connecting their activities. The contents of the book confirm the fact that the interface between architecture and engineering is multidimensional. The ways of finding points of contact between the two industries are highlighted. This is favored by the dynamically changing reality, supported by new design paradigms and new research techniques. The multithreaded subject matter of the articles is reduced to six sections: Research Scopes, Methods, Design Aspects, Context, Nature of Research, and Economy and Cost Calculation. Each of the articles in these six blocks has its weight. And so, in the Nature of Research section, the following areas have been underscored: laboratory tests, in situ research, field investigations, and street perception experiments. The section Design Aspects includes design-oriented thinking, geometrical forms, location of buildings, cost prediction, attractor and distractor elements, and shaping spatial structures. The new design and research tools are an inspiration and a keystone bonding architects and engineers.
The arts --- Architecture --- high-rise buildings --- development --- geometrical forms --- structural system --- advanced materials --- damping systems --- sustainability --- sustainable smart city --- architect --- image of the city --- participatory design --- body of the building --- facades --- roofs --- built environment --- design thinking method --- multi-criteria decision-making --- multi-criteria decision analysis --- fuzzy AHP --- sustainable development --- design solutions --- concrete performance --- concrete durability --- EIPI method --- waste copper slag --- natural radioactivity --- cost estimates --- construction costs --- bridge construction projects --- machine learning --- support vector machines --- regression --- technical condition --- performance characteristics --- prediction --- degree of wear --- building information modeling --- BIM --- construction management --- SWOT --- eye tracking --- visual perception --- the architecture of Cologne --- case study --- application in architecture and management --- assembly works --- computer planning --- Monte Carlo method --- selection --- construction --- application --- a curvilinear structure --- a hyperbolic paraboloid --- shaping structures --- structural optimization --- parametric design --- genetic algorithms --- multi-objective optimization --- topology --- Grasshopper --- FEM --- steel trusses --- semi-rigid joints --- RHS braces --- H-section chords --- overlapped joints --- resistance of welds --- Kraków Zabłocie --- Podolski Boulevard --- development of riverside embankment --- downtown riverside areas --- urban local centre --- community --- historical context --- multifunctional complex --- living environment quality --- spatial location conditions --- air pollution --- urban ventilation --- EU subsidies targeting environmental quality improvement --- masonry structures --- stiffening walls --- wall joints --- connectors --- bed joint reinforcement --- design for circularity --- design support tools --- circular construction --- circular economy --- architecture --- architectural design --- photovoltaic modules in architecture --- green building --- benefits of BIM --- public construction clients --- project outcomes --- engineering --- design paradigms --- research methods --- circular building --- spatial structures --- design-oriented thinking --- MCDM --- SVM --- high-rise buildings --- development --- geometrical forms --- structural system --- advanced materials --- damping systems --- sustainability --- sustainable smart city --- architect --- image of the city --- participatory design --- body of the building --- facades --- roofs --- built environment --- design thinking method --- multi-criteria decision-making --- multi-criteria decision analysis --- fuzzy AHP --- sustainable development --- design solutions --- concrete performance --- concrete durability --- EIPI method --- waste copper slag --- natural radioactivity --- cost estimates --- construction costs --- bridge construction projects --- machine learning --- support vector machines --- regression --- technical condition --- performance characteristics --- prediction --- degree of wear --- building information modeling --- BIM --- construction management --- SWOT --- eye tracking --- visual perception --- the architecture of Cologne --- case study --- application in architecture and management --- assembly works --- computer planning --- Monte Carlo method --- selection --- construction --- application --- a curvilinear structure --- a hyperbolic paraboloid --- shaping structures --- structural optimization --- parametric design --- genetic algorithms --- multi-objective optimization --- topology --- Grasshopper --- FEM --- steel trusses --- semi-rigid joints --- RHS braces --- H-section chords --- overlapped joints --- resistance of welds --- Kraków Zabłocie --- Podolski Boulevard --- development of riverside embankment --- downtown riverside areas --- urban local centre --- community --- historical context --- multifunctional complex --- living environment quality --- spatial location conditions --- air pollution --- urban ventilation --- EU subsidies targeting environmental quality improvement --- masonry structures --- stiffening walls --- wall joints --- connectors --- bed joint reinforcement --- design for circularity --- design support tools --- circular construction --- circular economy --- architecture --- architectural design --- photovoltaic modules in architecture --- green building --- benefits of BIM --- public construction clients --- project outcomes --- engineering --- design paradigms --- research methods --- circular building --- spatial structures --- design-oriented thinking --- MCDM --- SVM
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The present book contains the 24 total articles accepted and published in the Special Issue “Fuzzy Sets, Fuzzy Logic and Their Applications, 2020” of the MDPI Mathematics journal, which covers a wide range of topics connected to the theory and applications of fuzzy sets and systems of fuzzy logic and their extensions/generalizations. These topics include, among others, elements from fuzzy graphs; fuzzy numbers; fuzzy equations; fuzzy linear spaces; intuitionistic fuzzy sets; soft sets; type-2 fuzzy sets, bipolar fuzzy sets, plithogenic sets, fuzzy decision making, fuzzy governance, fuzzy models in mathematics of finance, a philosophical treatise on the connection of the scientific reasoning with fuzzy logic, etc. It is hoped that the book will be interesting and useful for those working in the area of fuzzy sets, fuzzy systems and fuzzy logic, as well as for those with the proper mathematical background and willing to become familiar with recent advances in fuzzy mathematics, which has become prevalent in almost all sectors of the human life and activity.
bipolar gradation of openness --- bipolar gradation of closedness --- bipolar fuzzy topology --- bipolar gradation preserving map --- fuzzy collaborative forecasting --- dynamic random access memory --- partial consensus --- fuzzy intersection --- fuzzy linear system --- fuzzy number --- fuzzy number vector --- embedding method --- inductive and deductive reasoning --- fuzzy logic (FL) --- scientific method --- probability and statistics --- Bayesian probabilities --- fuzzy implication --- ordering property --- least fuzzy negation --- t-conditionality --- neutrosophic set --- plithogenic set --- fuzzy set --- entropy --- similarity measure --- information measure --- Hyers-Ulam stability --- pexider type functional equation --- intuitionistic fuzzy normed spaces --- alternative fixed point theorem --- interval-valued fuzzy competition graph --- interval-valued fuzzy p competition graph --- interval-valued fuzzy neighbourhood graph --- interval-valued m-step fuzzy competition graph --- homomorphism of graph products --- max-min algebra --- fuzzy max-T algebra --- Łukasiewicz triangular norm --- max-Łukasiewicz algebra --- parametric solvability --- soft set --- fuzzy soft set --- multi-fuzzy set --- multi-fuzzy soft set --- ℒℳℱ?? --- similarity measure of ℒℳℱ?? --- site selection --- shopping mall site selection --- linguistic terms for fuzzy variable --- fuzzy AHP --- fuzzy TOPSIS --- octahedron set --- i-octahedron subgroupoid --- i-octahedron ideal --- i-sup-property, i-octahedron subgroup --- i-octahedron subring --- interval matrix --- interval eigenvector --- strong interval eigenvector --- fuzzy nonlinear systems --- fuzzy arithmetic --- fuzzy calculus --- multidimensional fuzzy arithmetic --- RDM fuzzy arithmetic --- fuzzy parametric form --- fuzzy measures --- monotone measures --- product spaces --- Schauder fixed point theorem --- fuzzy normed linear space --- t-norm --- measure of non-compactness --- fuzzy logic connectives --- law of importation --- α-migrativity --- distance measure --- fuzzy differential equations --- fuzzy difference equations --- mixed continuous-discrete model --- strongly generalized Hukuhara differentiability --- time value of money --- GEFS --- SEFS --- fuzzy relations: fuzzy sets --- max–min composition --- min–max composition --- monotone statistical parameters --- fuzzy statistics --- FAHP --- FTOPSIS --- FCOPRAS --- hexagonal fuzzy number --- governance --- fuzzy logic --- management system --- type-2 fuzzy set --- fuzzification --- type-reduction --- defuzzification --- B-spline surface model function
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Most real-world search and optimization problems naturally involve multiple criteria as objectives. Generally, symmetry, asymmetry, and anti-symmetry are basic characteristics of binary relationships used when modeling optimization problems. Moreover, the notion of symmetry has appeared in many articles about uncertainty theories that are employed in multi-criteria problems. Different solutions may produce trade-offs (conflicting scenarios) among different objectives. A better solution with respect to one objective may compromise other objectives. There are various factors that need to be considered to address the problems in multidisciplinary research, which is critical for the overall sustainability of human development and activity. In this regard, in recent decades, decision-making theory has been the subject of intense research activities due to its wide applications in different areas. The decision-making theory approach has become an important means to provide real-time solutions to uncertainty problems. Theories such as probability theory, fuzzy set theory, type-2 fuzzy set theory, rough set, and uncertainty theory, available in the existing literature, deal with such uncertainties. Nevertheless, the uncertain multi-criteria characteristics in such problems have not yet been explored in depth, and there is much left to be achieved in this direction. Hence, different mathematical models of real-life multi-criteria optimization problems can be developed in various uncertain frameworks with special emphasis on optimization problems.
multiple-criteria decision-making --- underground mines --- mining methods --- expert knowledge --- failure mode and effects analysis --- solar panel systems --- step-wise weight assessment ratio analysis --- grey relational analysis --- Z-number theory --- B2C e-commerce factors --- website --- MCDM --- Fuzzy AHP --- TOPSIS-Grey --- China --- IoT --- platform selection --- multi criteria decision analysis (MCDA) --- AHP --- PROMETHEE-II --- Industry 4.0 --- data envelopment analysis --- conjoint analysis --- experimental design --- criteria importance --- weight restrictions --- subjective and objective teacher efficiency --- multi-objective planning --- reverse supply chain --- robust optimization --- uncertainty --- meta-heuristic algorithm --- steel making industry --- fuzzy PIPRECIA --- fuzzy EDAS --- railway --- multi-criteria decision-making --- transport policy --- Six Sigma (6σ) --- DMAIC --- vehicle fleet --- optimization --- text mining --- Multi-Attribute Decision Making (MADM), criteria selection --- weighting --- Prospective MADM --- Latent Semantic Analysis (LSA) --- SIMUS --- decision tree --- transport plan --- Laplace’s criterion --- Hurwitz’s criterion --- q-rung orthopair fuzzy numbers --- q-rung orthopair fuzzy prioritized weighted average operator --- q-rung orthopair fuzzy prioritized weighted geometric operator --- green supply chain management --- fuzzy theory --- sustainable development --- SCOR model --- FAHP --- PROMETHEE II --- textile and garments industry --- sustainable supplier selection --- MCDA --- efficiency --- DEA --- SFA --- classification --- dimensionality reduction --- q-ROFNs --- Einstein operators --- prioritized aggregation operators --- multi-criteria group decision making --- hazardous materials --- vehicle route model (VRP) --- uncertainty theory --- chance constrained programming model --- hybrid intelligent algorithm --- linear Diophantine fuzzy set --- linear Diophantine fuzzy soft rough set --- soft rough linear Diophantine fuzzy set --- upper reduct and lower reduct --- core set --- multi-criteria decision making --- q-Rung orthopair fuzzy sets --- geometric aggregation operators based on generalized and group-generalized parameters --- water loss management --- decision making --- intuitionistic fuzzy sets --- the COMET method --- service quality --- fuzzy set --- Jensen–Shannon divergence --- shapley function --- TODIM --- port-hinterland transportation system --- bi-objective programming --- intermodal transportation --- carbon emissions --- uncertain demand --- distributionally robust --- chance constraint --- Yangtze River Economic Belt --- multi-criteria decision-analysis --- MCDA benchmark --- normalization --- entropy --- decision-making methods --- multi-criteria problems --- evolutionary algorithms --- machine learning --- fuzzy logic --- uncertain data --- consistency weights --- fuzzy preference relation (FPR) --- hesitant fuzzy preference relation (HFPR) --- Łukasiewicz consistency --- normal hesitant fuzzy preference relation (NHFPR) --- multiple criteria decision-making (MCDM) --- outsourcing provider --- DEMATEL --- CRITIC --- TOPSIS --- comparison measure --- representation --- disjoint --- multiplicative preference relation (MPR) --- group decision-making (GDM) --- incomplete fuzzy preference relation (IFPR) --- TL-consistency --- cubic m-polar fuzzy set --- Dombi’s operations --- cubic m-polar fuzzy aggregation operators with P-order (R-order) --- SIR technique --- complex networks --- social networks --- viral marketing --- information propagation --- crisp probability --- interval probability --- influence diagrams --- circuit breakers --- granular computing --- interval-valued --- intuitionistic fuzzy set --- multiple granulation --- ordered information system
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Most real-world search and optimization problems naturally involve multiple criteria as objectives. Generally, symmetry, asymmetry, and anti-symmetry are basic characteristics of binary relationships used when modeling optimization problems. Moreover, the notion of symmetry has appeared in many articles about uncertainty theories that are employed in multi-criteria problems. Different solutions may produce trade-offs (conflicting scenarios) among different objectives. A better solution with respect to one objective may compromise other objectives. There are various factors that need to be considered to address the problems in multidisciplinary research, which is critical for the overall sustainability of human development and activity. In this regard, in recent decades, decision-making theory has been the subject of intense research activities due to its wide applications in different areas. The decision-making theory approach has become an important means to provide real-time solutions to uncertainty problems. Theories such as probability theory, fuzzy set theory, type-2 fuzzy set theory, rough set, and uncertainty theory, available in the existing literature, deal with such uncertainties. Nevertheless, the uncertain multi-criteria characteristics in such problems have not yet been explored in depth, and there is much left to be achieved in this direction. Hence, different mathematical models of real-life multi-criteria optimization problems can be developed in various uncertain frameworks with special emphasis on optimization problems.
Information technology industries --- multiple-criteria decision-making --- underground mines --- mining methods --- expert knowledge --- failure mode and effects analysis --- solar panel systems --- step-wise weight assessment ratio analysis --- grey relational analysis --- Z-number theory --- B2C e-commerce factors --- website --- MCDM --- Fuzzy AHP --- TOPSIS-Grey --- China --- IoT --- platform selection --- multi criteria decision analysis (MCDA) --- AHP --- PROMETHEE-II --- Industry 4.0 --- data envelopment analysis --- conjoint analysis --- experimental design --- criteria importance --- weight restrictions --- subjective and objective teacher efficiency --- multi-objective planning --- reverse supply chain --- robust optimization --- uncertainty --- meta-heuristic algorithm --- steel making industry --- fuzzy PIPRECIA --- fuzzy EDAS --- railway --- multi-criteria decision-making --- transport policy --- Six Sigma (6σ) --- DMAIC --- vehicle fleet --- optimization --- text mining --- Multi-Attribute Decision Making (MADM), criteria selection --- weighting --- Prospective MADM --- Latent Semantic Analysis (LSA) --- SIMUS --- decision tree --- transport plan --- Laplace’s criterion --- Hurwitz’s criterion --- q-rung orthopair fuzzy numbers --- q-rung orthopair fuzzy prioritized weighted average operator --- q-rung orthopair fuzzy prioritized weighted geometric operator --- green supply chain management --- fuzzy theory --- sustainable development --- SCOR model --- FAHP --- PROMETHEE II --- textile and garments industry --- sustainable supplier selection --- MCDA --- efficiency --- DEA --- SFA --- classification --- dimensionality reduction --- q-ROFNs --- Einstein operators --- prioritized aggregation operators --- multi-criteria group decision making --- hazardous materials --- vehicle route model (VRP) --- uncertainty theory --- chance constrained programming model --- hybrid intelligent algorithm --- linear Diophantine fuzzy set --- linear Diophantine fuzzy soft rough set --- soft rough linear Diophantine fuzzy set --- upper reduct and lower reduct --- core set --- multi-criteria decision making --- q-Rung orthopair fuzzy sets --- geometric aggregation operators based on generalized and group-generalized parameters --- water loss management --- decision making --- intuitionistic fuzzy sets --- the COMET method --- service quality --- fuzzy set --- Jensen–Shannon divergence --- shapley function --- TODIM --- port-hinterland transportation system --- bi-objective programming --- intermodal transportation --- carbon emissions --- uncertain demand --- distributionally robust --- chance constraint --- Yangtze River Economic Belt --- multi-criteria decision-analysis --- MCDA benchmark --- normalization --- entropy --- decision-making methods --- multi-criteria problems --- evolutionary algorithms --- machine learning --- fuzzy logic --- uncertain data --- consistency weights --- fuzzy preference relation (FPR) --- hesitant fuzzy preference relation (HFPR) --- Łukasiewicz consistency --- normal hesitant fuzzy preference relation (NHFPR) --- multiple criteria decision-making (MCDM) --- outsourcing provider --- DEMATEL --- CRITIC --- TOPSIS --- comparison measure --- representation --- disjoint --- multiplicative preference relation (MPR) --- group decision-making (GDM) --- incomplete fuzzy preference relation (IFPR) --- TL-consistency --- cubic m-polar fuzzy set --- Dombi’s operations --- cubic m-polar fuzzy aggregation operators with P-order (R-order) --- SIR technique --- complex networks --- social networks --- viral marketing --- information propagation --- crisp probability --- interval probability --- influence diagrams --- circuit breakers --- granular computing --- interval-valued --- intuitionistic fuzzy set --- multiple granulation --- ordered information system --- multiple-criteria decision-making --- underground mines --- mining methods --- expert knowledge --- failure mode and effects analysis --- solar panel systems --- step-wise weight assessment ratio analysis --- grey relational analysis --- Z-number theory --- B2C e-commerce factors --- website --- MCDM --- Fuzzy AHP --- TOPSIS-Grey --- China --- IoT --- platform selection --- multi criteria decision analysis (MCDA) --- AHP --- PROMETHEE-II --- Industry 4.0 --- data envelopment analysis --- conjoint analysis --- experimental design --- criteria importance --- weight restrictions --- subjective and objective teacher efficiency --- multi-objective planning --- reverse supply chain --- robust optimization --- uncertainty --- meta-heuristic algorithm --- steel making industry --- fuzzy PIPRECIA --- fuzzy EDAS --- railway --- multi-criteria decision-making --- transport policy --- Six Sigma (6σ) --- DMAIC --- vehicle fleet --- optimization --- text mining --- Multi-Attribute Decision Making (MADM), criteria selection --- weighting --- Prospective MADM --- Latent Semantic Analysis (LSA) --- SIMUS --- decision tree --- transport plan --- Laplace’s criterion --- Hurwitz’s criterion --- q-rung orthopair fuzzy numbers --- q-rung orthopair fuzzy prioritized weighted average operator --- q-rung orthopair fuzzy prioritized weighted geometric operator --- green supply chain management --- fuzzy theory --- sustainable development --- SCOR model --- FAHP --- PROMETHEE II --- textile and garments industry --- sustainable supplier selection --- MCDA --- efficiency --- DEA --- SFA --- classification --- dimensionality reduction --- q-ROFNs --- Einstein operators --- prioritized aggregation operators --- multi-criteria group decision making --- hazardous materials --- vehicle route model (VRP) --- uncertainty theory --- chance constrained programming model --- hybrid intelligent algorithm --- linear Diophantine fuzzy set --- linear Diophantine fuzzy soft rough set --- soft rough linear Diophantine fuzzy set --- upper reduct and lower reduct --- core set --- multi-criteria decision making --- q-Rung orthopair fuzzy sets --- geometric aggregation operators based on generalized and group-generalized parameters --- water loss management --- decision making --- intuitionistic fuzzy sets --- the COMET method --- service quality --- fuzzy set --- Jensen–Shannon divergence --- shapley function --- TODIM --- port-hinterland transportation system --- bi-objective programming --- intermodal transportation --- carbon emissions --- uncertain demand --- distributionally robust --- chance constraint --- Yangtze River Economic Belt --- multi-criteria decision-analysis --- MCDA benchmark --- normalization --- entropy --- decision-making methods --- multi-criteria problems --- evolutionary algorithms --- machine learning --- fuzzy logic --- uncertain data --- consistency weights --- fuzzy preference relation (FPR) --- hesitant fuzzy preference relation (HFPR) --- Łukasiewicz consistency --- normal hesitant fuzzy preference relation (NHFPR) --- multiple criteria decision-making (MCDM) --- outsourcing provider --- DEMATEL --- CRITIC --- TOPSIS --- comparison measure --- representation --- disjoint --- multiplicative preference relation (MPR) --- group decision-making (GDM) --- incomplete fuzzy preference relation (IFPR) --- TL-consistency --- cubic m-polar fuzzy set --- Dombi’s operations --- cubic m-polar fuzzy aggregation operators with P-order (R-order) --- SIR technique --- complex networks --- social networks --- viral marketing --- information propagation --- crisp probability --- interval probability --- influence diagrams --- circuit breakers --- granular computing --- interval-valued --- intuitionistic fuzzy set --- multiple granulation --- ordered information system
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