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双向S-粗糙模糊集及其应用

刘纪芹, 裴海峰   

  1. 山东财政学院统计与数理学院, 山东 济南 250014
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2006-10-24 发布日期:2006-10-24
  • 通讯作者: 刘纪芹

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

LIU Ji-qin, PEI Hai-feng   

  1. Department of Statistics and Mathematics, Shandong Finance Institute, Jinan 250014, Shandong, China
  • Received:1900-01-01 Revised:1900-01-01 Online:2006-10-24 Published:2006-10-24
  • Contact: LIU Ji-qin

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。

关键词: 动态模糊集, 双向S-粗糙模糊集, Dubois粗糙模糊集 , 模糊元素迁移

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 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.

Key words: Dubois rough fuzzy set , fuzzy elementary transfers, two-direction S-rough fuzzy set, dynamic fuzzy set

中图分类号: 

  • O159
[1] 鲁小云1,杨勇2. 单向S-模糊粗糙集及其应用[J]. J4, 2011, 46(8): 110-113.
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