双向S-粗糙模糊集及其应用  

A two-direction S-rough fuzzy set and its application

作　　者：刘纪芹[1] 裴海峰[1] 

机构地区：[1]山东财政学院统计与数理学院,山东济南250014

出　　处：《山东大学学报（理学版）》2008年第2期19-22,28,共5页Journal of Shandong University(Natural Science)

基　　金：山东财政学院博士科研启动基金资助项目;山东财政学院院级课题资助项目(07ZD06)

摘　　要：利用模糊元素迁移的概念,将静态的模糊集推广到动态的模糊集,得到双向S-模糊集。以此为基础,提出了双向S-粗糙模糊集,给出了双向S-粗糙模糊集的结构。分析了双向S-粗糙模糊集与Z.Pawlak粗集、Dubois粗糙模糊集以及双向S-粗集之间的关系。给出了双向S-粗糙模糊集的应用。Using the concept of fuzzy elementary transfers, a static fuzzy set was generalized to a dynamic fuzzy set, then a twodirection S-fuzzy set was obtained. Based on this, a two-direction S-rough fuzzy set was proposed, and its general structure was given. The relationships between a two-direction S-rough fuzzy set and Z. Pawlak rough sets, between a two-direction S-rough fuzzy set and a Dubois rough fuzzy set, between a two-direction S-rough fuzzy set and a two-direction S-rough set were analyzed. The application of the two-direction S-rough fuzzy set was given. A two-direction S-rough fuzzy set is a dynamic rough fuzzy set.

关 键 词：动态模糊集 双向S-粗糙模糊集 模糊元素迁移 Dubois粗糙模糊集 

分 类 号：O159[理学—数学]