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Mathematical statistics --- Fuzzy measure theory --- Fuzzy sets --- 515.42 --- Mathematics --- Statistical inference --- Statistics, Mathematical --- Statistics --- Probabilities --- Sampling (Statistics) --- Sets, Fuzzy --- Fuzzy mathematics --- Set theory --- Capacities (Mathematics) --- Fuzzy measures --- Nonadditive measures --- Measure theory --- Statistical methods
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This book provides a comprehensive and timely report in the area of non-additive measures and integrals. It is based on a panel session on fuzzy measures, fuzzy integrals and aggregation operators held during the 9th International Conference on Modeling Decisions for Artificial Intelligence (MDAI 2012) in Girona, Spain, November 21-23, 2012. The book complements the MDAI 2012 proceedings book, published in Lecture Notes in Computer Science (LNCS) in 2012. The individual chapters, written by key researchers in the field, cover fundamental concepts and important definitions (e.g. the Sugeno integral, definition of entropy for non-additive measures) as well some important applications (e.g. to economics and game theory) of non-additive measures and integrals. The book addresses students, researchers and practitioners working at the forefront of their field. .
Engineering. --- Artificial intelligence. --- Mathematics. --- Computational Intelligence. --- Measure and Integration. --- Artificial Intelligence (incl. Robotics). --- Engineering & Applied Sciences --- Computer Science --- Math --- AI (Artificial intelligence) --- Artificial thinking --- Electronic brains --- Intellectronics --- Intelligence, Artificial --- Intelligent machines --- Machine intelligence --- Thinking, Artificial --- Construction --- Measure theory. --- Computational intelligence. --- Fuzzy measure theory. --- Game theory. --- Capacities (Mathematics) --- Fuzzy measures --- Nonadditive measures --- Fuzzy mathematics --- Measure theory --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Artificial Intelligence. --- Bionics --- Cognitive science --- Digital computer simulation --- Electronic data processing --- Logic machines --- Machine theory --- Self-organizing systems --- Simulation methods --- Fifth generation computers --- Neural computers --- Science --- Industrial arts --- Technology --- Lebesgue measure --- Measurable sets --- Measure of a set --- Algebraic topology --- Integrals, Generalized --- Measure algebras --- Rings (Algebra) --- Intelligence, Computational --- Artificial intelligence --- Soft computing
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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.
Research & information: general --- Mathematics & science --- 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 --- 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
Choose an application
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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