计算机工程

• 先进计算与数据处理 • 上一篇    下一篇

基于集对势优势关系的变精度粗糙集模型

曹炳汝,刘勇   

  1. (江南大学商学院,江苏 无锡 214122)
  • 收稿日期:2015-05-05 出版日期:2015-11-15 发布日期:2015-11-13
  • 作者简介:曹炳汝(1960-),男,教授,主研方向:粗糙集,软计算;刘勇(通讯作者),副教授、博士。
  • 基金项目:
    江苏省社会科学基金资助项目 (14GLC008)。

Variable Precision Rough Set Model Based on Set Pair Situation Dominance Relationship

CAO Bingru,LIU Yong   

  1. (School of Business,Jiangnan University,Wuxi 214122,China)
  • Received:2015-05-05 Online:2015-11-15 Published:2015-11-13

摘要: 针对不完备信息系统含有偏好信息、噪音数据、模糊性等属性的特点,利用集对分析、优势关系和变精度粗糙集,构建一种在集对势优势关系基础上的变精度粗糙集模型。对存在属性值缺失的序值信息系统,利用集对分析方法,定义基于α联系度系数的集对势优势关系,代替变精度粗糙集模型的等价关系,并给出一种新的变精度粗糙集模型。实例分析结果验证了该模型的有效性与合理性。

关键词: 不完备信息系统, 优势关系, 集对势, 粗糙集, 属性集

Abstract: In order to deal with the incomplete information system with a variety of noise data,dominance information and other information,and acquire decision rules,the thought and method of the set pair theory,dominance relationship and variable precision rough set are used to construct a novel dominance variable precision rough set model based on set pair situation.With respect to the incomplete information system containing the missing attribute values,by utilizing the set pair analysis method,a set pair situation dominance relationship based on the threshold α connection degree is defined,and it is used to substitute the equivalence relationship of the variable precision rough set model,so that a novel variable precision rough set model based on the set pair situation is established,and its properties are researched.An example shows the feasibility and effectiveness of the proposed model.

Key words: incomplete information system, dominance relationship, set pair situation, rough set;attribute set

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