K-quasi-additive fuzzy integrals of set-valued mappings

被引：0
|
作者：
WANG Guijun and LI Xiaoping ( School of Mathematics Science
School of Management
机构：
来源：
Progress in Natural Science:Materials International | 2006年 / 02期
基金：
中国国家自然科学基金;
关键词：
set-valued mapping; inductive operator; integrable selections; K-quasi-additive fuzzy integrals;
D O I：
暂无
中图分类号：
O159 [模糊数学];
学科分类号：
070104 ;
摘要：
We first define the quasi-addition and quasi-multiplication operations by introducing the inductive operator, and then, in the K-quasi-additive fuzzy measure space, we establish the K-quasi-additive fuzzy integral of a generally measurable set-valued mapping. Applying the integral transformation theorem, some basic properties of the K-quasi-additive fuzzy integrals with respect to this kind of set-valued mapping are studied. Finally, the generalized monotone convergence theorems of this kind of fuzzy integrals are obtained.
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页码：125 / 132
页数：8
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