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Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
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Introduction.Abstract:
Introduction. Required Background in Set Theory. Fuzzy Measures. Extensions. Structural Characteristics for Set Functions. Measurable Functions on Fuzzy Measure Spaces. Fuzzy Integrals. PanIntegrals. Applications. Index.read more
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Journal ArticleDOI
Induced generalized intuitionistic fuzzy operators
Zeshui Xu,Meimei Xia +1 more
TL;DR: Choquet integral and Dempster-Shafer theory of evidence are applied to aggregate inuitionistic fuzzy information and some new types of aggregation operators are developed, including the induced generalized intuitionistic fuzzy Choquet integral operators and induced generalized intuistic fuzzy Dem pster-shafer operators.
Journal ArticleDOI
Evaluating firm technological innovation capability under uncertainty
TL;DR: The analytical results indicated that the non-additive fuzzy integral is an effective, simple and suitable method for identifying the primary criteria influencing TICs at hi-tech firms, especially when evaluation criteria are interactive and interdependent.
Journal ArticleDOI
Decision-theoretic foundations of qualitative possibility theory☆
TL;DR: A justification of two qualitative counterparts of the expected utility criterion for decision under uncertainty, which only require bounded, linearly ordered, valuation sets for expressing uncertainty and preferences, and proposes an operationally testable description of possibility theory.
Journal ArticleDOI
A multi-criteria interval-valued intuitionistic fuzzy group decision making with Choquet integral-based TOPSIS
TL;DR: An extension of TOPSIS, a multi-criteria interval-valued intuitionistic fuzzy geometric aggregation operator, to a group decision environment is investigated, where inter-dependent or interactive characteristics among criteria and preference of decision makers are taken into account.
Proceedings ArticleDOI
A new algorithm for identifying fuzzy measures and its application to pattern recognition
TL;DR: A new algorithm for identifying fuzzy measures, which is a kind of gradient algorithm with constraints, is presented, whose performance is superior to the one of previous attempts, and its efficiency to a problem of pattern recognition using Choquet integral is shown.