Attributes reduction of information system with three-parameter interval grey number

Computer Engineering and Applications ›› 2016, Vol. 52 ›› Issue (16): 156-161.

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Attributes reduction of information system with three-parameter interval grey number

LUO Dang1, MAO Wenxin1, SUN Huifang2

1.School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, Zhengzhou 450046, China
2.School of Management and Economics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China

Online:2016-08-15 Published:2016-08-12

三参数区间灰数信息下系统属性约简方法

罗党1，毛文鑫1，孙慧芳2

1.华北水利水电大学数学与信息科学学院，郑州 450046
2.华北水利水电大学管理与经济学院，郑州 450046

Abstract

Abstract: For the incomplete information system, in which the attribute value of alternatives is three-parameter interval grey number, an attribute reduction of information system based on [θ]-grey dominance relation is proposed. According to the definition of three-parameter interval grey number, the order relation of two three-parameter interval grey numbers based on possibility is presented. On this basis, a [θ]-grey dominance relation between attribute value is established. At last, the attribute reduction of this type of incomplete information system is put forward combined with the discernibility matrix. An applied example is given to illustrate the usefulness and effectiveness of the proposed method.

Key words: three-parameter interval grey number, incomplete information system, grey dominance relation, attribute reduction

摘要： 针对属性评价值为三参数区间灰数的不完备信息系统，提出了一种基于[θ]-灰色优势关系的信息系统属性约简方法。根据三参数区间灰数的定义，给出两个三参数区间灰数基于可能度的大小关系，在此基础上，构建方案属性值之间的一种[θ]-灰色优势关系，并结合可辨识矩阵，给出了这类不完备信息系统属性约简方法。应用实例表明了方法的合理性和有效性。

关键词: 三参数区间灰数, 不完备信息系统, 灰色优势关系, 属性约简

LUO Dang1, MAO Wenxin1, SUN Huifang2. Attributes reduction of information system with three-parameter interval grey number[J]. Computer Engineering and Applications, 2016, 52(16): 156-161.

罗党1，毛文鑫1，孙慧芳2. 三参数区间灰数信息下系统属性约简方法[J]. 计算机工程与应用, 2016, 52(16): 156-161.

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Attributes reduction of information system with three-parameter interval grey number

三参数区间灰数信息下系统属性约简方法

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