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

doi:10.3778/j.issn.1002-8331.2009.25.017

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.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.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

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

CLC Number:

TP18

LIN Meng-lei¹，ZHANG Ling². One-direction S-rough fuzzy set of mapping and its property[J]. Computer Engineering and Applications, 2009, 45(25): 55-57.

林梦雷¹，张凌². 映射单向S-粗模糊集及其性质[J]. 计算机工程与应用, 2009, 45(25): 55-57.

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

映射单向S-粗模糊集及其性质

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