加权多粒度直觉模糊信息系统的粗糙集模型及其决策<sup>*</sup>

doi:10.16451/j.cnki.issn1003-6059.201711002

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Abstract By analyzing the limitation of the current multi-granulation intuitionistic fuzzy rough set(MGIFRS), a MGIFRS based on weighted granulations is presented in this paper. Firstly, the properties of the presented MGIFRS are analyzed. Three intuitionistic fuzzy rough sets, MGIFRS based on weighted granulations, optimistic MGIFRS and pessimistic MGIFRS, are compared to declare their relationships, and the relationship of uncertainty measurements under these three kinds of MGIFRS are also discussed. Then, the certainty factor and support factor of the decision rule are defined. A rule acquisition method is provided to make up for the shortcomings of the existing MGIFRS. Finally, an decision-making example is utilized to verify the validity of the proposed MGIFRS based on weighted granulations.

Key words： Intuitionistic Fuzzy Information System Multi-granulation Rough Set Weighting Certainty Factor Support Factor

Received: 05 March 2017

ZTFLH:

TP 18

Fund:Supported by National Natural Science Foundation of China(No.61602004,61300057), Natural Science Foundation of Anhui Pro-vince(No.1408085MF122,1508085MF127), Natural Science Foundation of Anhui Higher Education Institutions(No.KJ2017A011,KJ2016A041), Project of Key Laboratory of Intelligent Computing and Signal Processing of Anhui University of Ministry of Education, Project of Information Support Technology Collaborative Innovation Center of Anhui University

About author:: 纪霞(通讯作者),女,1982年生,博士,讲师,主要研究方向为数据挖掘、粗糙集理论、机器学习.E-mail:jixia1983@163.com.
赵鹏,女,1976年生,博士,副教授, 主要研究方向为智能信息处理.E-mail: zhaopeng_ad@163.com.
姚晟,女,1979年生,博士,讲师,主要研究方向为粗糙集、粒计算、大数据.E-mail: fisheryao@126.com.

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Cite this article:

JI Xia,ZHAO Peng,YAO Sheng. Rough Set Model and Decision Research in Intuitionistic Fuzzy Information System Based on Weighted Multi-granulation[J]. , 2017, 30(11): 971-982.

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http://manu46.magtech.com.cn/Jweb_prai/EN/10.16451/j.cnki.issn1003-6059.201711002 OR http://manu46.magtech.com.cn/Jweb_prai/EN/Y2017/V30/I11/971

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