基于广义优序法的语言型多属性群决策方法

Approach of linguistic multi-attribute group decision making based on generalized precedence ordering method

针对具有语言评价信息的多属性群决策问题,提出基于广义优序法的语言型多属性群决策方法.该方法通过对传统优序法进行有效拓展,采用近年来最新发展的二元语义概念,将语言评价信息转化为二元语义形式的广义优序数,并在此基础上利用方案广义优序数的偏差最大化思想求解得到属性权重,最终确定最优方案.该方法对语言信息的处理较为精确,有效地避免了信息的丢失和扭曲.最后,通过对风险投资案例的分析结果表明了所提出方法的简洁性和有效性.

The approach of linguistic multi-attribute group decision making based on generalized precedence ordering method is proposed for dealing with the multiple attributes group decision making problems with linguistic assessment information. In this method, linguistic assessment information is transformed into generalized precedence ordering numbers in the form of 2-tuple linguistic by means of expanding effectively the classic precedence ordering method and applying the concept of 2-tuple linguistic with latest development in recent years. On this basis, the attribute weight is solved based on the idea of the deviation of generalized precedence ordering numbers, and then the optimal alternative is determined. The proposed approach processes the linguistic information exactly, avoids the loss and distortion of information effectively. Finally, the analysis result of the case of risk investment shows the conciseness and effectiveness of the proposed method.