Credibility measure of fuzzy sets and applications
by Xiang Li, Dan Ralescu
International Journal of Advanced Intelligence Paradigms (IJAIP), Vol. 1, No. 3, 2009

Abstract: 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 subadditivity 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.

Online publication date: Fri, 19-Jun-2009

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