单向奇异粗糙模糊集合的结构  

The structures on single direction singular rough fuzzy sets

作　　者：侯海军[1] 王庆东[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《纯粹数学与应用数学》2007年第2期171-177,共7页Pure and Applied Mathematics

基　　金：国家自然科学基金资助项目(60174013);河南省自然科学基金(0511013700);商丘师范学院青年骨干教师基金

摘　　要：用模糊集合与模糊等价关系对单向奇异粗集进行了研究,并给出了单向奇异粗糙模糊集合的数学结构及其并、交、补运算和性质.同时证明了单向奇异粗糙模糊集合对并、交、补运算构成完全可无限分配的软代数.It is studied single singular rough set by fuzzy set and fuzzy equivalence relation in this paper. And we give the mathematical structrue,operations and properties of the union, intersection and complement for single direction singular rough fuzzy set. Furthermore, we prove that the soft algebra is constituted by single direction singular rough fuzzy set, and which can be assigned on the operations of the union ,intersection and complement completely and infinitely.

关 键 词：模糊集合 模糊等价关系 单向奇异粗糙集合 单向奇异粗糙模糊集合 软代数 

分 类 号：O159[理学—数学]