基于二元语义投影算子的语言群决策方法

A group decision-making method for linguistic assessment based on two-tuple linguistic projection operator

目的研究属性权重和属性值均以语言信息给出的群决策问题。方法给出了二元语义的运算法则和二元语义矢量投影算子,并分析其性质。依据投影法的思想,通过计算各方案点在正理想点上的语义投影,最终对方案排序优选。结果提出了一种基于二元语义的多属性语言群决策方法。结论算例验证了所提算法的可行性和实用性,为解决语言群决策问题提供了一个有用的工具。

Aim The group decision-making problems are studied in which all attribute weights and attribute values take the form of linguistic information. Methods The two-tuple operational rules and the two-tuple vector projection operator are given, and their properties are analyzed. According to the ideas of the projection method, the rank of alternatives is selected optimally by calculating the linguistic projection of each alternative on the ideal point. Results A group decision-making method for linguistic assessment based on two-tuple linguistic multi-attribute is presented. Conclusion A numerical example is used to illustrate the applicability and feasibility of the proposed method, which will become a useful tool for linguistic group decision making.