二型模糊相似度及其应用  

Similarity measure between type-2 fuzzy sets and its applications

作　　者：赵涛[1] 肖建[2] 

机构地区：[1]西南交通大学交通运输与物流学院,成都610031 [2]西南交通大学电气工程学院,成都610031

出　　处：《计算机工程与应用》2013年第8期22-26,62,共6页Computer Engineering and Applications

基　　金：国家自然科学基金(No.51177137;No.61134001);中央高校基本科研业务费专项资金项(No.SWJTU11CX034)

摘　　要：二型模糊集可以直接处理高度不确定性,并且具有很强的实际应用背景。基于二型模糊相似度的公理化定义,给出了新的二型模糊相似度计算公式。进一步,将二型模糊相似度与Yang-Shih方法相结合,用于二型模糊数据的聚类分析,聚类结果与Yang-Lin的结果进行了比较,实例表明新的相似度更合理。此外,基于二型模糊相似度,讨论了二型模糊信息系统的属性约简问题,给出了相应约简的分辨函数法,并通过实例说明了该方法的具体计算步骤。Type-2 fuzzy sets can deal directly with high uncertainties and have very strong practical application background. In this paper, a new type-2 fuzzy similarity measure is proposed on the basis of the axiom definitions of type-2 fuzzy similarity measures. Furthermore, it combines similarity measures with Yang and Shih＇ s algorithm as a clustering method for type-2 fuzzy data, and compares clustering results with Yang and Lin＇s method. Examples show that the proposed measure is more reasonable. It also discusses attribute reduction of type-2 fuzzy information system based on type-2 fuzzy similarity measures, and the discernibility function method on appropriate reduction is given. Specific calculation steps of the reduction approach are presented by an example.

关 键 词：二型模糊集 相似度 聚类分析 二型模糊信息系统 属性约简 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]