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Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
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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
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Journal ArticleDOI
Set-Valued Lebesgue and Riesz Type Theorems
Anca Precupanu,Alina Gavriluţ +1 more
TL;DR: In this paper, different types of pseudo-convergences of sequences of measurable functions with respect to set-valued nonadditive monotonic set functions have been studied, and some pseudo-versions of Lebesgue and Riesz theorems have been established.
Journal ArticleDOI
A 2-order additive fuzzy measure identification method based on intuitionistic fuzzy sets and its application in credit evaluation
Mu Zhang,Si-Si Li,Binbin Zhao +2 more
TL;DR: A 2-order additive fuzzy measure identification method based on IFSs and using the Choquet fuzzy integral as nonlinear integration operator, a multi-attribute decision making (MADM) process is presented.
Journal ArticleDOI
On fuzzy optimal controls in the weakly structurable continuous dynamic systems (wscds)
TL;DR: Sufficient and necessary conditions are presented for the existence of an extremal fuzzy optimal control process, for which R. Bellman's optimality principle and take into consideration the gain-loss fuzzy process are used.
Book ChapterDOI
Avoidance of Highlights through ILFOs in Automated Visual Inspection
TL;DR: The avoidance of so-called highlights is a very important practical problem in Computer Vision systems, and very few research efforts have been undertaken in this context in order to solve it.
Journal ArticleDOI
On inverse problem of Choquet integral
TL;DR: This paper considers the inverse problem of Choquet integral: Given a ranking of alternatives, does there exist a fuzzy measure by which the authors can get the ranking throughChoquet integral?