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
Hermite-Hadamard inequality for fuzzy integrals
J. Caballero,Kishin Sadarangani +1 more
TL;DR: A Hermite-Hadamard type inequality for fuzzy integrals is proved and it is shown that if the integrals are fuzzy, then the inequality also applies to the discrete-time integrals.
Journal ArticleDOI
Convergence theorems for sequences of choquet integrals
TL;DR: In this article, several different types of convergence, including the mean convergence based on the Choquet integral, for sequences of measurable functions are considered, and corresponding convergence theorems for sequence of Choquel integrals are demonstrated.
Journal Article
Multiplication, distributivity and fuzzy-integral. II
Wolfgang Sander,Jens Siedekum +1 more
TL;DR: The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures and motivation and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively.
Journal ArticleDOI
On Chebyshev type inequalities for generalized Sugeno integrals
TL;DR: The necessary and sufficient conditions guaranteeing the validity of Chebyshev type inequalities for generalized Sugeno integrals in the case of functions belonging to a much wider class than the comonotone functions are given.
Journal ArticleDOI
An MCDM-Based Multiobjective General Variable Neighborhood Search Approach for Disassembly Line Balancing Problem
TL;DR: An innovative MCDM method based on fuzzy set theory, grey relational analysis, and Choquet fuzzy integral is developed to evaluate the performance scores and determine the ranking of disassembly tasks and effectively generates a good enough tradeoff disassembly solution.