Fuzzy rough sets model based on level-set of fuzzy sets

doi:10.3778/j.issn.1002-8331.2009.08.015

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (8): 47-49.DOI: 10.3778/j.issn.1002-8331.2009.08.015

• 研究、探讨 • Previous Articles Next Articles

Fuzzy rough sets model based on level-set of fuzzy sets

SUN Bing-zhen¹,GONG Zeng-tai²,JIAO Yong-lan¹

1.School of Traffic and Transportation，Lanzhou Jiaotong University，Lanzhou 730070，China
2.College of Mathematics and Information Science，Northwest Normal University，Lanzhou 730070，China

Received:2008-01-21 Revised:2008-04-21 Online:2009-03-11 Published:2009-03-11
Contact: SUN Bing-zhen

基于模糊集截集的模糊粗糙集模型

孙秉珍¹,巩增泰²,焦永兰¹

1.兰州交通大学交通运输学院，兰州 730070
2.西北师范大学数学与信息科学学院，兰州 730070

通讯作者: 孙秉珍

Abstract

Abstract: The fuzzy rough set model based on the level-set of fuzzy sets is presented by means of the concept of the level-set of the L.A Zadeh fuzzy set.Then the upper approximation and lower approximation of any fuzzy set on the universe U are defined，i.e.，fuzzy rough set.Therefore，any fuzzy set can be approximated by the fuzzy set on universe U according to the method that is proposed in this paper，and it also expands the Z.Pawlak rough set model.Finally，some properties of the present fuzzy rough set and the relationships with the other rough sets models are given.

Key words: fuzzy set, rough sets, level-set, weak fuzzy partion, fuzzy rough sets

摘要： 基于L.A.Zadeh模糊集的截集的概念给出了论域U上任意模糊子集的上、下近似的刻画，得到了基于模糊集的截集的粗糙集模型，亦即模糊粗糙集，实现了用论域U中的模糊集近似论域上的任意模糊集，进一步推广了Z.Pawlak粗糙集模型，扩展了粗糙集的应用范围。最后，研究了其基本性质以及其与其他粗糙集模型的关系。

关键词: 模糊集, 粗糙集, 水平截集, 弱模糊划分, 模糊粗糙集

SUN Bing-zhen¹,GONG Zeng-tai²,JIAO Yong-lan¹. Fuzzy rough sets model based on level-set of fuzzy sets[J]. Computer Engineering and Applications, 2009, 45(8): 47-49.

孙秉珍¹,巩增泰²,焦永兰¹. 基于模糊集截集的模糊粗糙集模型[J]. 计算机工程与应用, 2009, 45(8): 47-49.

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Fuzzy rough sets model based on level-set of fuzzy sets

基于模糊集截集的模糊粗糙集模型

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