THE CONVERGENCE FOR A SEQUENCE OF FUZZY INTEGRALS OF FUZZY NUMBER-VALUED FUNCTIONS ON THE FUZZY SET

被引：0
作者：
ZHANG, GQ
机构：
来源：
FUZZY SETS AND SYSTEMS | 1993年 / 59卷 / 01期
关键词：
FUZZY SET; FUZZY NUMBER; FUZZY MEASURE; FUZZY INTEGRAL; FUZZY NUMBER-VALUED FUNCTION;
D O I：
暂无
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, a new concept of fuzzy number-valued fuzzy integral of fuzzy number-valued function with respect to fuzzy number-valued fuzzy measure on the fuzzy set is introduced, and some equivalent definitions of the above-mentioned concept are given, and its elementary properties are discussed, and a series of the convergent theorems of fuzzy number-valued fuzzy integrals on the fuzzy set are obtained.
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页码：43 / 57
页数：15
相关论文
共 18 条
[1]   ENTROPY AND FUZZY INTEGRAL [J].
BATLE, N ;
TRILLAS, E .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (02) :469-474
[2]   THE FUZZY INTEGRAL [J].
RALESCU, D ;
ADAMS, G .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (02) :562-570
[3]  
Sugeno M., 1974, THESIS TOKYO I TECHN
[4]  
WANG ZY, 1985, FUZZY SET SYST, V16, P277, DOI 10.1016/0165-0114(85)90031-4
[5]   THE AUTOCONTINUITY OF SET FUNCTION AND THE FUZZY INTEGRAL [J].
WANG, ZY .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1984, 99 (01) :195-218
[6]  
ZHANG G, IN PRESS FUZZY SETS
[7]   Structural characteristics of the fuzzy number-valued fuzzy measure on the fuzzy σ-algebra and their applications [J].
Zhang, Guang-Quan .
Fuzzy Sets and Systems, 1992, 52 (01)
[8]   On fuzzy number-valued fuzzy measures defined by fuzzy number valued integrals II [J].
Quan, Zhang Guang .
Fuzzy Sets and Systems, 1992, 48 (02)
[9]  
ZHANG GQ, 1992, FUZZY SET SYST, V45, P227, DOI 10.1016/0165-0114(92)90123-L
[10]  
ZHANG GQ, 1992, FUZZY SET SYST, V49, P357, DOI 10.1016/0165-0114(92)90287-E
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