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	Credibility measure of fuzzy sets and applications
	Xiang Li ; Ralescu, D.
	2010-10-12 ; 2010-10-12
关键词	Theoretical or Mathematical/ fuzzy set theory possibility theory/ credibility measure fuzzy sets nonadditive set function Lebesgue integral monotonicity theorem self-duality theorem subadditivity theorem Sugeno integral optimisation problems mean measure maximisation model/ C4210 Formal logic C1160 Combinatorial mathematics
中文摘要	In order to measure a fuzzy event, credibility measure is proposed as a non-additive set function. In this paper, this concept is extended to fuzzy sets. First, a mean measure is defined by Lebesgue integral and some properties are investigated such as the monotonicity theorem, self-duality theorem and sub additivity theorem. Furthermore, by using Sugeno integral, an equilibrium measure is proposed and studied. Finally, these concepts are applied to optimisation problems, and the mean measure maximisation model and equilibrium measure maximisation model are proposed.
语种	英语
出版者	Inderscience Enterprises Ltd. ; Switzerland
内容类型	期刊论文
源URL	[http://hdl.handle.net/123456789/81209]
专题	清华大学
推荐引用方式 GB/T 7714	Xiang Li,Ralescu, D.. Credibility measure of fuzzy sets and applications[J],2010, 2010.
APA	Xiang Li,&Ralescu, D..(2010).Credibility measure of fuzzy sets and applications..
MLA	Xiang Li,et al."Credibility measure of fuzzy sets and applications".(2010).

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