单向S-粗模糊集及其特性  

One-direction S-rough fuzzy set and its properties

作　　者：刘纪芹[1] 孟令存[2] 

机构地区：[1]山东财政学院统计与数理学院,济南250014 [2]济宁职业技术学院数学系,山东济宁232037

出　　处：《计算机工程与应用》2007年第33期58-62,共5页Computer Engineering and Applications

基　　金：山东省自然科学基金(the Natural Science Foundation of Shangdong Province of China under Grant No.Y2004A04)

摘　　要：提出动态的模糊集,即单向S-模糊集。由此提出了单向S-粗模糊集概念,给出了单向S-粗模糊集结构。定义了单向S-粗模糊集的截集概念,讨论了单向S-粗模糊集的特性。分析了单向S-粗模糊集与Z.Pawlak粗集、Dubois粗模糊集以及单向S-粗集之间的关系。给出了单向S-粗模糊集的背景和意义解释,单向S-粗模糊集是具有动态特性的粗模糊集。To discuss a dynamic fuzzy set,a one-direction S-fuzzy set is proposed.Based on this,a one-direction S-rough fuzzy set is proposed,and its general structure is given.Cut sets of one-direction S-rough fuzzy set are defined.The properties of one- direction S-rough fuzzy set are discussed.The relationships between one-direction S-rough fuzzy set and Z.Pawlak rough sets,between one-direction S-rough fuzzy set and Dubois rough fuzzy set,between one-direction S-rough fuzzy set and one-direction Srough set are analyzed.The existing background and meaning explanation of one-direction S-rough fuzzy set are given.One-direc tion S-rough fuzzy set is a dynamic rough fuzzy set.

关 键 词：单向S-粗模糊集 模糊元素迁移 单向S-模糊集 截集 

分 类 号：O159[理学—数学]