Fuzzy integrals for set-valued mappings

被引：10
|
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.
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页码：333 / 337
页数：5
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