基于VIKOR和加权相似度的单值中智语言多属性决策方法  

Multi-attribute Decision Making Method for Single-valued Neutrosophic Linguistic Sets Based on VIKOR and Weighted Similarity

作　　者：范建平[1] 刘胜男 吴美琴[1] Fan Jianping;Liu Shengnan;Wu Meiqin(School of Economics and Management,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学经济与管理学院,太原030006

出　　处：《统计与决策》2019年第9期38-42,共5页Statistics & Decision

摘　　要：由于在不精确环境下仅考虑方案与正理想解的距离造成信息不能被完全利用,同时考虑正理想解和负理想解对方案的影响,文章提出相对VIKOR方法,旨在通过相对群体效用及相对个体遗憾确定一个相对最佳妥协解。同时通过求解最大化相对群体效用的条件约束问题确定权重值。提出单值中智语言加权cosine相似度公式,根据方案与相对最佳妥协解的相似度确定一组全排序。最后以企业对主导设计的选择问题为例验证了方法的可行性。In view of the fact that the only consideration of the distance between the scheme and the positive ideal solution in the imprecise environment results in inability to fully utilize information,and also considering the influence of the positive ideal solution and the negative ideal solution on the scheme,this paper proposes a relative VIKOR approach,which aims to determine a relatively optimal compromise solution through relative group utility and relative individual regret.At the same time,the weight value is determined by solving the conditional constraint problems of maximizing relative group utility.In addition,the paper puts forward the weighted cosine similarity formula of single-valued neutrosophic language,and obtains a set of full sequences according to the similarity between the scheme and the relatively optimal compromise solution.Finally,the paper takes the enterprise’s choice of dominant design as an example to verify the feasibility of the proposed method.

关 键 词：单值中智集 语言变量 加权相似度 VIKOR 

分 类 号：C934[经济管理—管理学]