On fuzzy-set interpretation of possibility theory
Fuzzy Sets and Systems
Fuzzy Probabilities and their Applications to Statistical Inference
IPMU'94 Selected papers from the 5th International Conference on Processing and Management of Uncertainty in Knowledge-Based Systems, Advances in Intelligent Computing
A survey of credibility theory
Fuzzy Optimization and Decision Making
Uncertainty Theory
Expected value of fuzzy variable and fuzzy expected value models
IEEE Transactions on Fuzzy Systems
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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.