广义模糊数值Choquet积分的自连续性与其结构特征的保持(英文)  

Autocontinuity and Preservation of Structural Characteristics of Generalized Fuzzy Number-valued Choquet Integrals

作　　者：王贵君[1] 李晓萍[1] 

机构地区：[1]天津师范大学数学科学学院,天津300074

出　　处：《数学进展》2005年第1期91-100,共10页Advances in Mathematics（China）

基　　金：ThisworkWaSsupportedbytheScienceDevelopmentFoundationofTianjinEducationCommission(No.20031410).

摘　　要：在一般模糊测度空间的任一子集上,针对给定的μ-可积数模糊数值函数,定义所谓广义的模糊数值Choquet积分,并将这种积分整体看成可测空间上的模糊数值集函数.进而讨论并研究它的上(下)自连续性,逆上(下)自连续性,一致自连续性和一致逆自连续性等结构特征.On an arbitrary subset in a general fuzzy measure space, we first define the generalized fuzzy number-valued Choquet integral for a given μ-integral fuzzy number valued function. Regarding these integrals as fuzzy number-valued set functions on a measurable space, we discuss their autocontinuity from above (below), converse-autocontinuity from above (below), uniform autocontinuity and uniform converse-autocontinuity etc. structural characteristics.

关 键 词：μ-可积模糊数值函数 广义模糊数值Choquet积分 自连续 遗自连续 一致(逆)自连续 

分 类 号：O159[理学—数学]