On the convergence of the fuzzy valued functional defined by μ-integrable fuzzy valued functions

被引：14

作者：

Wang, GJ ^{[1
]}

Li, XP ^{[1
]}

机构：

[1] Tonghua Teachers Coll, Dept Math, Jilin 134002, Peoples R China

来源：

FUZZY SETS AND SYSTEMS | 1999年 / 107卷 / 02期

关键词：

fuzzy numbers; fuzzy measures; measurable fuzzy valued functions; mu-integrable fuzzy valued functions; fuzzy valued functionals;

D O I：

10.1016/S0165-0114(97)00383-7

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, in the sense of Sugeno's fuzzy measure, we first introduce the mu-integrable fuzzy valued function, define the fuzzy valued functional (a kind of new fuzzy integral), and then, we discuss some important elementary properties with respect to this kind of functional, finally, we give its convergence theorem. (C) 1999 Elsevier Science B.V. All rights reserved.

引用

页码：219 / 226

页数：8

共 17 条

[1] [Anonymous], 1991, FUZZY SET THEORY ITS
[2] ENTROPY AND FUZZY INTEGRAL
BATLE, N
TRILLAS, E
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 69 (02) : 469 - 474
[3] CONVERGENCE PROPERTIES OF THE MONOTONE EXPECTATION AND ITS APPLICATION TO THE EXTENSION OF FUZZY MEASURES
CARMONA, MJB
IBANEZ, LMD
MUNOZ, AG
[J]. FUZZY SETS AND SYSTEMS, 1989, 33 (02) : 201 - 212
[4] KLEMENT EP, 1985, REV ROUMAINE MATH PU, V30, P375
[5] Kruse R., 1987, Statistics with vague data, DOI DOI 10.1007/978-94-009-3943-1
[6] FUZZY RANDOM-VARIABLES .1. DEFINITIONS AND THEOREMS
KWAKERNAAK, H
[J]. INFORMATION SCIENCES, 1978, 15 (01) : 1 - 29
[7] Fuzzy random reliability of structures based on fuzzy random variables
Liu, YB
Qiao, Z
Wang, GY
[J]. FUZZY SETS AND SYSTEMS, 1997, 86 (03) : 345 - 355
[8] LUO CZ, 1983, FUZZY MATH, V3, P45
[9] FUZZY RANDOM-VARIABLES
PURI, ML
RALESCU, DA
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1986, 114 (02) : 409 - 422
[10] THE FUZZY INTEGRAL
RALESCU, D
ADAMS, G
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1980, 75 (02) : 562 - 570

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