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

被引：7

作者：

WANG Guijun and LI Xiaoping ( School of Mathematics Science

School of Management

机构：

来源：

Progress in Natural Science | 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.

引用

页码：125 / 132

页数：8