Soft fuzzy rough sets

Computer Engineering and Applications ›› 2013, Vol. 49 ›› Issue (10): 125-128.

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Soft fuzzy rough sets

SHAO Yingchao1, DU Zhaobin2, YANG Jilin3, QIN Keyun1

1.School of Mathematics, Southwest Jiaotong University, Chengdu 610031, China
2.Zhengzhou Technical College, Zhengzhou 450121, China
3. College of Fundamental Education, Sichuan Normal University, Chengdu 610068, China

Online:2013-05-15 Published:2013-05-14

软模糊粗糙集

邵迎超1，杜召彬2，杨霁琳3，秦克云1

1.西南交通大学数学学院，成都 610031
2.郑州职业技术学院，郑州 450121
3.四川师范大学基础教育学院，成都 610068

Abstract

Abstract: The theory of soft set theory is introduced by Molodtsov in 1999 in order to deal with uncertainties which traditional mathematical tools cannot handle. In this paper, the soft set theory is applied to the theory of rough set introduced by Z.Pawlak. The notions of soft fuzzy rough sets and soft fuzzy rough groups and the notions of their homomorphisms are presented and some related properties are discussed.

Key words: soft set, rough set, fuzzy rough set, soft fuzzy rough set, soft fuzzy rough group

摘要： 软集理论是1999年Molodtsov为了克服传统数学在处理不确定性问题时所遇到的困难而提出的一种新的数学工具。将软集理论与Z.Pawlak粗糙集结合起来，提出了软模糊粗糙集和软模糊粗糙群及它们的同态的概念，讨论了它们相关的性质。

关键词: 软集, 粗糙集, 模糊粗糙集, 软模糊粗糙集, 软模糊粗糙群

SHAO Yingchao1, DU Zhaobin2, YANG Jilin3, QIN Keyun1. Soft fuzzy rough sets[J]. Computer Engineering and Applications, 2013, 49(10): 125-128.

邵迎超1，杜召彬2，杨霁琳3，秦克云1. 软模糊粗糙集[J]. 计算机工程与应用, 2013, 49(10): 125-128.

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Soft fuzzy rough sets

软模糊粗糙集

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