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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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Symmetry is found everywhere, to a greater or lesser degree. It is essential in all sciences and also as the basic substrate in all arts. The same happens with Complex Networks, which are the majority of all those that interest for advanced knowledge, that is, for research. That is why these two themes have been unified here, whose intersection we are dealing with: in its first part, of fundamentals, and in its second part of applications, which are multiple in the world today.
fuzzy symmetry --- near symmetry --- graph theory --- fuzzy optimization --- measure theory --- complex networks --- combinatorial and computational group theory --- theoretical computer science --- complex systems --- symmetry measures --- similarity --- symmetry as a new and very important bridge between sciences and humanities --- discrete applied mathematics --- information theory --- stability --- fuzzy measure theory --- complexity theory --- symmetry and asymmetry --- chirality --- entropy measures --- mathematical analysis --- combinatorial optimization --- preferential attachment --- clustering
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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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