Open AccessBook
Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
TLDR
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
Citations
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Journal ArticleDOI
Hybrid analysis of uncertainty: probability, fuzziness and anti-optimization
TL;DR: In this article, three seemingly unrelated concepts, namely probability, fuzziness and anti-optimization, are used for rigorous analysis of many engineering structures, in order to take into account the uncertainty in the actual values of the basic variables or on the models employed to evaluate the structure-expected behaviour.
Book ChapterDOI
Convergence criteria and convergence relations for sequences of fuzzy random variables
Yan-Kui Liu,Jinwu Gao +1 more
TL;DR: This paper presents several new convergence concepts for sequences of fuzzy random variables, including convergence almost sure, uniform convergence, almost uniforms convergence, convergence in mean chance, and convergence in means chance distribution.
Journal ArticleDOI
Multiple Attribute Decision Making Based on Generalized Aggregation Operators under Dual Hesitant Fuzzy Environment
TL;DR: The generalized dual hesitant fuzzy Choquet ordered aggregation (GDHFCOA) operator is applied to deal with multiple attribute decision making problems underDual hesitant fuzzy environment.
Journal ArticleDOI
On the continuity of the concave integral
TL;DR: Dominated convergence of the concave integral for capacities is characterized in terms of dual representation whenever sequences of functions converge pointwise outside a set of zero capacity.
Journal ArticleDOI
Autocontinuity and convergence theorems for the Choquet integral
TL;DR: Convergence theorems for the Choquet integral are provided for various notions of convergence that can be associated to the dominated convergence in measure, in mean or in strict-measure.