Fuzzy-valued fuzzy measures and generalized fuzzy integrals

被引:20
|
作者
Guo, CM
Zhang, DL [1 ]
Wu, CX
机构
[1] Jilin Prov Inst Educ, Dept Math, Changchun 130022, Jilin, Peoples R China
[2] Changchun Univ, Dept Basic Sci, Changchun 130022, Jilin, Peoples R China
[3] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
关键词
fuzzy measure; generalized fuzzy integral; fuzzy-valued function; generalized triangle norm;
D O I
10.1016/S0165-0114(96)00276-X
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
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. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:255 / 260
页数:6
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