基于ELECTRE的犹豫二元语义多属性群决策方法

Hesitant 2-tuple linguistic multi-attribute group decision-making method based on ELECTRE

针对属性权重完全未知,属性值为犹豫二元语义信息的多属性群决策问题,提出了一种基于ELECTRE的犹豫二元语义多属性群决策方法。定义了犹豫二元语义元比较的可能度公式,引入了犹豫二元语义元的距离测度。利用犹豫二元语义可能度公式确定和谐集、不和谐集与无差异集,分别根据可能度和距离测度确定和谐指数及不和谐指数,并构建相应的矩阵,通过和谐矩阵与不和谐矩阵余矩阵的Hadamard乘积确定综合优势矩阵,进而确定净优势值并实现方案间的排序。最后通过算例说明所提方法的可行性和有效性。

A hesitant 2-tuple linguistic multi-attribute group decision-making method based on ELECTRE method is proposed to solve the multi-attribute decision-making problems in which the attribute weight is completely unknown,with the attribute value being of hesitant 2-tuple linguistic information.The possibility degree formula for comparing two hesitant 2-tuple linguistic elements is defined,with the distance measure introduced.The hesitant 2-tuple linguistic concordance set,discordance set,and the indifference set are determined by the possibility degree formula in the method.The hesitant 2-tuple linguistic concordance and discordance indices are respectively determined based on the possibility degree and the distance measure,with their corresponding matrices constructed.The comprehensive dominance matrix is determined via the Hadamard product between the concordance matrix and the complementary matrix of the discordance matrix,the net dominant value is determined,and the alternatives are ranked.Finally,an example is given to demonstrate the feasibility and effectiveness by using the proposed method.