一类新Vague集相似度量  

A CLASS OF NEW SIMILARITY MEASURES OF VAGUE SETS

作　　者：黄国顺[1] 刘云生[2] 

机构地区：[1]佛山科技学院理学院,广东佛山528000 [2]华中理工大学计算机学院,湖北武汉430074

出　　处：《计算机应用与软件》2005年第7期24-26,85,共4页Computer Applications and Software

基　　金：广东省自然科学基金资助项目(034071)

摘　　要：Gau和Buehrer提出Vague集概念以来,为刻画两个Vague集(值)之间的相似程度,一些Vague集的相似度量方法被提出来,然而在有些情况下,有些度量方法存在一些不足之处。一些反例首先被给出,如文献[7]提出的Vague集相似度量在有些情况下是失效的,然后证明了一个引理,以此为基础提出一种新的相似度量计算方法,通过引入两Vague集间的lp距离公式将它推广到更一般的情形,得到一类Vague集相似度量公式。Since the Vague set proposed by Gau and Buehrer,some measures of similarity between Vague sets(values) have been developed to describe the degree of similarity between them,but some of them dont fit well in some cases.At first,some counterexamples are given to show that the similarity measure presented by Yan and Chi is not valid in some special cases.Then a lemma is proved and a new similarity measure based on it is proposed. Finally,its generalization is brought forward with the introduction to lp distance between two Vague sets and a class of formulations are obtained.

关 键 词：VAGUE集 相似度量 VAGUE集 度量方法 相似程度 计算方法 距离公式 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程] F830.91[自动化与计算机技术—控制科学与工程]