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双向S-粗糙模糊集及其应用
A two-direction S-rough fuzzy set and its application
【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。
【Abstract】 Using the concept of fuzzy elementary transfers,a static fuzzy set was generalized to a dynamic fuzzy set,then a two-direction 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 Srough 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.
【Key words】 dynamic fuzzy set; two-direction S-rough fuzzy set; fuzzy elementary transfers; Dubois rough fuzzy set;
- 【文献出处】 山东大学学报(理学版) ,Journal of Shandong University(Natural Science) , 编辑部邮箱 ,2008年02期
- 【分类号】TP18
- 【被引频次】4
- 【下载频次】83