A note on the interval-valued generalized fuzzy integral by means of an interval-representable pseudo-multiplication and their convergence properties

被引：11
|
作者：
Jang, Lee-Chae [1 ]
机构：
[1] Konkuk Univ, Dept Comp Engn, Chungju 138701, South Korea
来源：
FUZZY SETS AND SYSTEMS | 2013年 / 222卷
关键词：
Fuzzy measure; Generalized fuzzy integral; Interval-representable pseudo-multiplication; Interval-valued function; Convergence theorem; CHOQUET INTEGRALS; SEQUENCES; THEOREMS; NUMBERS;
D O I：
10.1016/j.fss.2012.11.016
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
In this paper, we consider the generalized fuzzy integral which is a fuzzy integral based on the idempotent pseudo-addition (supremum) and a pseudo-multiplication studied by Xie and Fang in 2006. The purpose of this study is to define the interval-valued generalized fuzzy integral with respect to a fuzzy measure by means of an interval-representable pseudo-multiplication of measurable interval-valued functions and to investigate some characterizations and convergence properties of them. (C) 2012 Elsevier B.V. All rights reserved.
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页码：45 / 57
页数：13
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