变精度粗糙集β下近似属性约简

J4 ›› 2011, Vol. 46 ›› Issue (11): 17-21.

变精度粗糙集β下近似属性约简

余承依,李进金*

漳州师范学院数学与信息科学系, 福建漳州 363000

收稿日期:2010-10-25 出版日期:2011-11-20 发布日期:2011-11-30
通讯作者: 李进金(1960- ),男,教授,博士生导师,主要研究方向为拓扑学、粗糙集及不确定性理论.Email:jinjinli@fjzs.edu.cn
作者简介:余承依(1976- ),男,讲师,硕士,主要研究方向为人工智能、粗糙集及不确定性理论.Email:ychy100@163.com
基金资助:
国家自然科学基金资助项目(10971186, 11061004),福建省自然科学基金资助项目(2010J01018)

β lower approximation attribute reduction in variable precision rough sets

YU Cheng-yi, LI Jin-jin*

Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou 363000, Fujian, China

Received:2010-10-25 Online:2011-11-20 Published:2011-11-30

摘要/Abstract

摘要：

从属性集角度研究变精度粗糙集模型的属性约简问题,在对象集上定义了一种β下近似二元关系,并利用这种关系建立了属性集及其幂集上的等价关系,由此产生依赖空间。同时利用定义的二元关系和依赖空间给出了变精度粗糙集的β下近似协调集的判定定理,得到一种保持每个决策类的β下近似不变的属性约简方法。最后通过实例验证方法的有效性。

关键词: 变精度粗糙集;属性约简; β下近似二元关系;依赖空间

Abstract:

From the view of attribute sets, the attribute reduction in the variable precision rough set model is studied. A new β lower approximation binary relation is defined. Using relations the equivalence relation is constructed on attribute sets and its power sets, and a dependence space is also produced. By applying the binary relation and dependence space, judgement theorems for judging β lower approximation consistent sets are obtained, from which we provide a new attribute reduction algorithm. It can preserve β lower approximation in every decision class. Finally, a practical example illustrates the validity of the method.

Key words: variable precision rough sets; attribute reduction; β lower approximation binary relation; dependence space

余承依,李进金*. 变精度粗糙集β下近似属性约简[J]. J4, 2011, 46(11): 17-21.

YU Cheng-yi, LI Jin-jin*. β lower approximation attribute reduction in variable precision rough sets[J]. J4, 2011, 46(11): 17-21.

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