Fuzzy integrals for set-valued mappings

被引：11

作者：

Cho, SJ

Lee, BS

Lee, GM

Kim, DS

机构：

[1] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

[2] Kyungsung Univ, Dept Math, Pusan 608736, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2001年 / 117卷 / 03期

关键词：

analysis; measure theory; fuzzy integral; measurable selection; fuzzy measure; set-valued mapping; Fatou's lemma; Lebesgue convergence theorem;

D O I：

10.1016/S0165-0114(98)00385-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we introduce the concept of fuzzy integrals for set-valued mappings, which is an extension of fuzzy integrals for single-valued functions defined by Sugeno. We give some properties including convergence theorems on fuzzy integrals for set-valued mappings. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：333 / 337

页数：5

共 14 条

[1]

[Anonymous], 1977, LECT NOTES MATH

[2]

Aubin J. P., 1990, Set-valued analysis, DOI 10.1007/978-0-8176-4848-0

[3] INTEGRALS OF SET-VALUED FUNCTIONS [J].