| K-quasi-additive fuzzy integrals of set-valued mappings |
| |
| 作者姓名： | WANG Guijun LI Xiaoping |
| |
| 作者单位： | 1. School of Mathematics Science, Tianjin Normal University, Tianjin 300074, China； 2. School of Management, Tianjin Normal University, Tianjin 300074, China |
| |
| 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.
|
| 关 键 词： | set-valued mapping inductive operator integrable selections K-quasi-additive fuzzy integrals. |
K-quasi-additive fuzzy integrals of set-valued mappings |
| |
| WANG Guijun,LI Xiaoping.K-quasi-additive fuzzy integrals of set-valued mappings[J].Progress in Natural Science,2006,16(2):125-132. |
| |
| Authors: | WANG Guijun LI Xiaoping |
| |
| Abstract: | 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. |
| |
| Keywords: | set-valued mapping inductive operator integrable selections K-quasi-additive fuzzy integrals |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《自然科学进展(英文版)》浏览原始摘要信息 |
| 点击此处可从《自然科学进展(英文版)》下载免费的PDF全文 |
