基于语言标度中术语指标的多属性群决策法

A multi-attribute group decision making method based on term indices in linguistic evaluation scales

研究决策矩阵中元素以语言形式给出的多属性群决策问题.介绍语言评估标度集,定义虚拟术语和虚拟术语指标等概念,给出与语言决策矩阵相对应的指标矩阵.利用语言评估标度中术语与其指标之间的关系,以及加权算术平均算子和混合集结算子,提出一种基于术语指标的多属性群决策方法.该法简便易行,且能充分地利用已有的决策信息,因此所得决策结果较为精确、合理.最后通过实例对方法的实用性和有效性进行说明.

In this paper, we study the group decision making problems in which the elements in decision matrices are linguistic evaluation labels. A set of linguistic evaluation scales is introduced, and the concepts of virtual term and virtual term index, etc, are defined. By using the relations between the elements in the linguistic evaluation scale and their indexes, and the additive weighted mean (AWM) operator and the hybrid aggregation (HA) operator, a method based on the term indices for group decision making problems is presented. The method is straightforward and easy to implement on a computer, and takes the known information into account sufficiently. Therefore, it is more precise and reasonable in the final results. An actual example is given to illustrate the practicality and effectiveness of the proposed method.