基于二元语言评价的群决策方法

An Approach to Group Decision Making Based on Two-Tuple Linguistic Assessment

针对语言评价的群决策问题,定义了二元语言术语的概念及其运算法则,并给出二元语言和算子与二元语言加权平均算子,提出一种属性权重已知的语言评价群决策方法.方法首先利用二元语言和算子对专家给出的语言评价信息进行集成,得到方案关于属性的群体评价,然后利用二元语言加权平均算子集成方案各属性的群体评价,得到各方案综合评价.最后通过比较各方案综合评价的期望值和优势度,确定方案排序.

For the linguistic assessment group decision making problems,this paper defines concept of two-tuple linguistic term and some operational laws. Based on these operational laws, two-tuple linguistic sum operator and two-tuple linguistic weighted averaging operator are given and a approach is proposed to sore group decision making problems with linguistic assessment, which the attribute weights are completely known. Firstly, this method utilizes two-tuple linguistic sum operator to aggregate linguistic assessment information given by each expert in order to obtain group assessment of each alternative concerning the attribute. Secondly, two-tuple linguistic weighted averaging operator is used to aggregate group as- sessment of each attribute for each alternative, obtaining the comprehensive assessment of each alternative. Finally comparing expected value and superiority of the comprehensive assessment for each alternative is calculated to determine the ranking order of alternatives.