改进的Vague值相似度及多准则决策方法  

Improved similarity measurement on vague value and the multi-criteria decision making method

作　　者：兰蓉[1] 朱倩澜 

机构地区：[1]西安邮电大学通信与信息工程学院,陕西西安710121

出　　处：《西安邮电大学学报》2016年第3期105-110,共6页Journal of Xi’an University of Posts and Telecommunications

基　　金：国家自然科学基金资助项目(61571361);陕西省科技计划资助项目(2014KJXX-72);陕西省教育厅科学研究计划资助项目(15JK1658)

摘　　要：为了区分Vague值的相似性,提出一种基于Vague值的区间中点值的相似度量。考虑隶属度与非隶属度间的运算关系,构成区间中点值,在基于Vague值相似度量的公理化条件的基础上,将隶属度、非隶属度及Vague值的区间中间值3个因素结合起来,构成了一个改进的相似度量公式。与已有的相似度量进行仿真比较,结果表明该度量能有效区分Vague值数据。将该度量应用于多准则决策问题,实例验证了该度量的有效性。In order to compare the similarity of vague values,a similarity measure formula including the medium value of vague is proposed.Considering the relational operator of vague values,based on the axiomatic definitions of similarity measurement,a new similarity measure formula is formed to combine the degree of membership,fake degree of membership,and the medium of vague value.Compared with existing similarity measurements,the new formula can effectively distinguish vague values. When the new formula is applied to multiple criteria decision,its effectiveness can be verified through case analysis.

关 键 词：VAGUE值 相似性 相似度量 多准则决策 

分 类 号：TN911.7[电子电信—通信与信息系统]