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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

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【作者】 刘纪芹裴海峰

【Author】 LIU Ji-qin,PEI Hai-feng (Department of Statistics and Mathematics,Shandong Finance Institute,Jinan 250014,Shandong,China)

【机构】 山东财政学院统计与数理学院山东财政学院统计与数理学院 山东济南250014山东济南250014

【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.

【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)
  • 【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
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