Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (25): 55-57.DOI: 10.3778/j.issn.1002-8331.2009.25.017

• 研究、探讨 • Previous Articles     Next Articles

One-direction S-rough fuzzy set of mapping and its property

LIN Meng-lei1,ZHANG Ling2   

  1. 1.Department of Mathematics and Information Science,Zhangzhou Normal University,Zhangzhou,Fujian 363000,China
    2.Department of Mathematics and Computer,Longyan College,Longyan,Fujian 364000,China
  • Received:2008-10-13 Revised:2009-03-27 Online:2009-09-01 Published:2009-09-01
  • Contact: LIN Meng-lei

映射单向S-粗模糊集及其性质

林梦雷1,张 凌2   

  1. 1.漳州师范学院 数学与信息科学系,福建 漳州 363000
    2.龙岩学院 数学与计算机学院,福建 龙岩 364000
  • 通讯作者: 林梦雷

Abstract: On the basis of one-direction S-rough fuzzy set introduced in the bibliography[5],this paper defines one-direction S-rough fuzzy set of mapping and mapping equivalence relation.The characteristics about one-direction S-rough set of mapping are discussed.One-direction S-rough fuzzy set is the special case of mapping one-direction S-rough sets and mapping one-direction S-rough fuzzy set is the general form of one direction S-rough fuzzy set.

Key words: fuzzy mapping, mapping equivalence relation, fuzzy elementary transfer, extension principle

摘要: 在文献[5]提出单向S-模糊集的基础上,给出映射单向S-粗模糊集概念,映射诱导的等价关系的概念;讨论了映射单向S-粗模糊集的性质。得出单向S-粗模糊集是映射单向S-粗模糊集的特例,映射单向S-粗模糊集是粗集理论的一个新的研究方向。

关键词: 模糊映射, 映射等价关系, 模糊元素迁移, 扩展原理

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