一种由三角模诱导的粗糙集间的相似性度量方法  

A Novel Similarity Measuring between Rough Sets Induced by Triangular Norms

作　　者：李伟鹏[1] 刘坤[1] 

机构地区：[1]陇东学院数学与统计学院,甘肃庆阳745000

出　　处：《宁夏大学学报（自然科学版）》2014年第3期198-200,208,共4页Journal of Ningxia University(Natural Science Edition)

基　　金：陇东学院青年科技创新项目(XYLK1303);甘肃省高等学校科研基金资助项目(2013B086)

摘　　要：首先介绍了粗糙集、模糊集与三角模的概念,接着指出利用三角模可以诱导出相应的包含度,进而可得到一个相似度,提出了一种利用三角模对粗糙集间的相似性进行度量的新方法.最后借助算例验证了该方法的可行性.The concepts of rough sets,fuzzy sets and triangular norms are discussed firstly.It is showed that an inclusion degree can be induced by a triangular norm,and then the corresponding similarity degree can be obtained consequently.A novel similarity measure between rough sets by means of triangular norm is presented.Finally,the feasibility of proposed method is proved by a concrete example.

关 键 词：粗糙集 三角模 包含度 相似度 

分 类 号：O159[理学—数学]