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
Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces
A research on quality evaluation of lexical cohesion based
Wei-Xuan Shi,Ying Gao +1 more
TL;DR: In this paper, a new method is proposed to evaluate lexical cohesion based on Sugeno measure, and the experimental results show that the integrated results are significantly correlated with teachers' scoring of the compositions, which indicates the effective and comprehensive quality evaluation of lexical cohesive in English writing.
Proceedings ArticleDOI
Using Random Set Theory to Calculate Reliability Bounds in Situations of Little Information: An Application to a Finite Element Intermediate Complexity Wing Model
TL;DR: It is shown that when working with imprecise input, the traditional probabilistic approach is inadequate because it would force the designer to add unavailable information and the proposed mathematical model of uncertainty is capable of capturing the incomplete knowledge upon which important conceptual and preliminary decisions must be made.
A Universal Integral Independent of Measurable Spaces and Function Spaces
Erich Peter Klement,Radko Mesiar +1 more
TL;DR: For [0, ∞]-valued (monotone) measures and functions, universal integrals are introduced and investigated in this paper for a fixed pseudomultiplication on [ 0,∞] and the smallest and the greatest universal integral functions are given.