Rough Vague集相似度量的一种新方法  

A New Method of Similarity Measurements for Rough Vague Sets

作　　者：蔡正琦[1] 普措才仁[1] 田双亮[1] 曹永春[1] 

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730124

出　　处：《西北民族大学学报（自然科学版）》2010年第3期9-13,共5页Journal of Northwest Minzu University(Natural Science)

基　　金：教育部人文社会科学研究规划基金(08JA740034)

摘　　要：对粗糙集、Vague集及粗糙Vague集的概念、知识表示方法进行了讨论,描述了粗糙Vague集的相关概念.根据区间相似性的原理,指出影响Vague集相似性度量的4个因素,提出一种新的Vague集相似性度量方法,在此基础上给出粗糙Vague值相似度量的一种新方法,并研究了该方法的性质,进一步给出粗糙Vague集相似度量的方法.Some concepts of rough sets,vague sets and rough vague sets were discussed,the method of knowledge expression was approached.According to the theory of similarity measure between intervals,it is shown that four factors influencing vague sets and vague values should be taken into account while calculating the similarity degree and a new method for similarity measures between vague sets（values） is put forward.Based on them,a new method of similarity measures for rough Vague values are given,and then its some properties are studied.Further more,a new method of similarity measures for rough Vague sets are presented.

关 键 词：粗糙集 VAGUE集 FUZZY集 粗糙VAGUE集 相似度量 

分 类 号：O225[理学—运筹学与控制论] TP311[理学—数学]