Fuzzy-valued fuzzy measures and generalized fuzzy integrals

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• 作者：Caimei ; Guo ; Deli ; Zhang ; Congxin ; Wu
• 关键词：Fuzzy measure ; Generalized fuzzy integral ; Fuzzy-valued function ; Generalized triangle norm
• 刊名：Fuzzy Sets and Systems
• 出版年：1998
• 出版时间：July 16, 1998
• 年：1998
• 卷：97
• 期：2
• 页码：255-260
• 全文大小：305 K

文摘

In this paper, the concept of fuzzy-valued fuzzy measures is introduced at first and then, based on the generalized fuzzy integral given by Wu et al. [Fuzzy Sets and Systems 57 (1993) 219], the generalized fuzzy integral of fuzzy-valued functions with respect to fuzzy-valued fuzzy measures is defined and the properties and convergence theorems are given. All these are extensions of the Sugeno [Theory of fuzzy integrals and its applications, Ph.D. thesis, Tokyo Institute of Technology, 1974] and Wu et al. (1993) theory.