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

作     者：WANG Guijun and LI Xiaoping ( School of Mathematics Science, Tianjin Normal University, Tianjin 300074, China School of Management, Tianjin Normal University, Tianjin 300074, China) 

作者机构：School of Mathematics Science Tianjin Normal University Tianjin 300074 China School of Management Tianjin Normal University Tianjin 300074 China 

出 版 物：《Progress in Natural Science:Materials International》 (自然科学进展·国际材料(英文))

年 卷 期：2006年第16卷第2期

页      面：125-132页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0701[理学-数学] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China (Grant No. 70571056) 

主　　题：set-valued mapping inductive operator integrable selections K-quasi-additive fuzzy integrals. 

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.