基于二元语义多属性群决策的灰色关联分析法

Method of grey relational analysis for multiple attribute group decision making in two-tuple linguistic setting

针对解决具有语言评价信息的多属性群决策问题,提出了一种基于二元语义信息处理的群决策方法,该方法是采用近年来最新发展的二元语义概念对语言评价信息进行处理和运算,它是依据传统灰色关联分析方法的基本思想,通过计算每个方案对正、负理想方案的语义灰色关联度,最终确定最优方案,使该方案对正理想方案具有最大的灰色关联度和对负理想方案具有最小的灰色关联度。该方法具有对语言信息处理较为精确的特点,避免了以往采用的语言信息处理方法所带来的信息扭曲和损失。最后给出了一个实例分析。结果表明方法简单、有效和易于计算。

A new method is proposed to solve multiple attribute group decision making problems with linguistic assessment information. In the method, the two-tuple linguistic representation developed in recent years is used to aggregate the linguistic assessment information. According to the traditional ideas of grey relational analysis, the optimal alternative（s） is determined by calculating the linguistic degree of grey relation of every alternative and positive ideal solution and negative ideal solution. It is based on the concept that the optimal alternative should have the largest degree of grey relation from positive ideal solution and the smallest degree of grey relation from the negative ideal solution. The method has exact characteristics in linguistic information processing, and averts information distortion and losing which occur formerly in the linguistic information processing. Finally, a numerical example is used to illustrate the use of the proposed method. The result shows the approach is simple, effective and easy to calculate.