Fuzzy Measures and Integrals: Theory and Applications
Physica-Verlag HD, Jan 24, 2000 - Business & Economics - 476 pages
Concepts similar to fuzzy measure have been introduced independently in many domains: in non-expected utility theory, cooperative game theory, complexity analysis, measure theory, etc. This book reflects all these facets. It gathers survey papers written by leading researchers in the field, covering a selection of most significant topics. The first part is devoted to fundamental and theoretical material, while the second part deals with more applied topics such as decision making and pattern recognition. The book is of interest to researchers in decision making, artificial intelligence, applied mathematics, mathematical social sciences, etc.
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Fuzzy Measures and Fuzzy Integrals
Nonadditive Measure and Integral Basic Concepts and Their
Towards Generalized Belief Functions
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additive aggregation algorithm applications assume attributes autocontinuity axiom basic belief functions called Chateauneuf Choquet integral classical coherent upper comonotonic Computing criteria defined Definition denoted Example expected utility filters finite set fuzzy integral fuzzy numbers Fuzzy Sets given Grabisch hierarchical idempotent inclusion-exclusion covering integral value integral with respect inter-additive interaction index Lebesgue integral linear mapping Mathematical measurable function measure space measures and integrals Mobius monotone measures Murofushi natural extension non-additive measure non-monotonic fuzzy measures non-negative null set operation parameters pixel possibility measure Prade preference preferentially independent probability measure properties Proposition pseudo-addition pseudo-convolution pseudo-multiplication qualitative random variable RDEU real numbers representation represented risk aversion rough set satisfies set function Sets and Systems Shapley Shapley value signed measure software cost subjective evaluation model Sugeno integral t-conorm t-norm Theorem training data triangular norms uncertainty upper prevision upper probability