计算机科学 ›› 2016, Vol. 43 ›› Issue (12): 84-87.doi: 10.11896/j.issn.1002-137X.2016.12.014

• 智能信息处理 • 上一篇    下一篇

模糊信息系统中基于OWA算子的模糊粗糙集模型

杨霁琳,秦克云   

  1. 四川师范大学基础教学学院 成都610068,西南交通大学数学学院 成都610031
  • 出版日期:2018-12-01 发布日期:2018-12-01
  • 基金资助:
    本文受国家青年科学基金项目(61203285),四川省教育厅科研项目(11ZB068),四川师范大学重点研究课题资助

Fuzzy Rough Set Model Based on OWA Operator in Fuzzy Information System

YANG Ji-lin and QIN Ke-yun   

  • Online:2018-12-01 Published:2018-12-01

摘要: 在模糊信息系统中,属性值并不是一个确定的值,而是一个隶属度函数。因此,通过利用有序加权平均(OWA)算子聚合对象间在每个属性上的差异,刻画出对象之间的相似性,定义对象的相似度并讨论其相关性质。借助对象相似度,通过逻辑关系和相应的函数运算,分别给出了对象隶属于上、下近似集合的隶属度。最后,通过实例分析说明在模糊信息系统中,该相似度能较准确地刻画出对象的相似性,同时,对象对于上、下近似的隶属度能更直观、合理地反应对象隶属于某一集合的上、下近似的情况,且能更合理地描述这一粗糙集合。

关键词: 模糊信息系统,粗糙集,相似度,相容关系,隶属度

Abstract: In the fuzzy information system,attribute value is not an uncertain value,it is a membership function.Therefore,differences between objects are aggregated by the ordered weighted averaging (OWA) operator for all the attri-butes,which characterizes the similarity of objects.Then similar degree of objects was defined and the related properties were discussed.According to the similar degree of objects,the membership degree of an object which belongs to lower and upper approximations was given by logic relations and function operations.Finally,experimental results show that the similarity of objects can be accurately characterized by the similar degree of objects.Moreover,every object belonging to the lower and upper approximation sets can be more visually and reasonably described by membership degrees of every object for lower and upper approximations.Meanwhile,the description of the rough set can be more reasonable.

Key words: Fuzzy information system,Rough set,Similar degree,Tolerance relation,Membership degree

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