One-direction S-rough fuzzy set and its properties

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (33): 58-62.

• 学术探讨 • Previous Articles Next Articles

One-direction S-rough fuzzy set and its properties

Liu Ji-qin¹,MENG Ling-cun²

1.Department of Statistics and Mathematics,Shandong Finance Institute,Ji’nan 250014,China
2.Department of Mathematics,Jining Vocational and Technical College,Jining,Shandong 232037,China

Received:1900-01-01 Revised:1900-01-01 Online:2007-11-21 Published:2007-11-21
Contact: Liu Ji-qin

单向S-粗模糊集及其特性

刘纪芹¹,孟令存²

1.山东财政学院统计与数理学院,济南 250014
2.济宁职业技术学院数学系,山东济宁 232037

通讯作者: 刘纪芹

Abstract

Abstract: To discuss a dynamic fuzzy set,a one-direction S-fuzzy set is proposed.Based on this,a one-direction S-rough fuzzy set is proposed,and its general structure is given.Cut sets of one-direction S-rough fuzzy set are defined.The properties of one-direction S-rough fuzzy set are discussed.The relationships between one-direction S-rough fuzzy set and Z.Pawlak rough sets,between one-direction S-rough fuzzy set and Dubois rough fuzzy set,between one-direction S-rough fuzzy set and one-direction S-rough set are analyzed.The existing background and meaning explanation of one-direction S-rough fuzzy set are given.One-direction S-rough fuzzy set is a dynamic rough fuzzy set.

Key words: one-direction S-rough fuzzy set, fuzzy elementary transfer, one-direction S-fuzzy set, cut set

摘要： 提出动态的模糊集,即单向S-模糊集。由此提出了单向S-粗模糊集概念,给出了单向S-粗模糊集结构。定义了单向S-粗模糊集的截集概念,讨论了单向S-粗模糊集的特性。分析了单向S-粗模糊集与Z.Pawlak 粗集、Dubois粗模糊集以及单向S-粗集之间的关系。给出了单向S-粗模糊集的背景和意义解释,单向S-粗模糊集是具有动态特性的粗模糊集。

关键词: 单向S-粗模糊集, 模糊元素迁移, 单向S-模糊集, 截集

Liu Ji-qin¹,MENG Ling-cun². One-direction S-rough fuzzy set and its properties[J]. Computer Engineering and Applications, 2007, 43(33): 58-62.

刘纪芹¹,孟令存². 单向S-粗模糊集及其特性[J]. 计算机工程与应用, 2007, 43(33): 58-62.

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One-direction S-rough fuzzy set and its properties

单向S-粗模糊集及其特性

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