FUZZY INTEGRALS OF SET-VALUED MAPPINGS AND FUZZY MAPPINGS

被引：20

作者：

ZHANG, D ^{[1
]}

GUO, CM ^{[1
]}

机构：

[1] CHANGCHUN UNIV,DEPT BASIC SCI,CHANGCHUN 130022,PEOPLES R CHINA

来源：

FUZZY SETS AND SYSTEMS | 1995年 / 75卷 / 01期

关键词：

FUZZY INTEGRAL; SET-VALUED MAPPING; FUZZY INTEGRAL OF SET-VALUED MAPPING; FUZZY INTEGRAL OF FUZZY MAPPING;

D O I：

10.1016/0165-0114(94)00342-5

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper based on (Sugeno, 1974) first defines the concept of fuzzy integrals of set-valued mappings by the similar way of Aumann (1965). Then it is discussed, some results similar to Aumann integral are obtained, these include convexity, closedness, Fatou's lemmas and the Lebesgue convergence theorem, etc. At last, the fuzzy integral of fuzzy mappings is defined, the extended results corresponding with fuzzy integrals of set-valued mappings are showed.

引用

页码：103 / 109

页数：7

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