加权犹豫三角模糊距离度量及其在群决策中的应用

Weighted hesitant triangular fuzzy distance measurement and its application in group decision making

对于犹豫三角模糊元中不同的元素作为隶属度的重要性不同,提出加权犹豫三角模糊元和加权犹豫三角模糊集的概念,研究了决策值为加权犹豫三角模糊元的群决策问题。首先,给出了加权犹豫三角模糊距离公式;其次,基于计算方便且不改变三角模糊数作为隶属度的重要性,提出一种对加权犹豫三角模糊元添加元素的方法;最后,提出加权犹豫三角模糊距离度量的群决策方法,并应用于加权犹豫三角模糊环境下的群决策。数值实例表明,加权犹豫三角模糊距离度量在群决策中具有合理性和可行性。

Considering the different importance of different elements in hesitant triangular fuzzy elements as membership,the concepts of weighted hesitant triangular fuzzy elements and weighted hesitant triangular fuzzy sets are proposed,the group decision problem with decision value as weighted hesitant triangular fuzzy element is studied.Firstly,the formula of weighted hesitant triangular fuzzy distance is given.Secondly,in order to facilitate calculation and do not change the importance of triangular fuzzy numbers as membership,a method of adding elements to weighted hesitant triangular fuzzy elements is proposed.Finally,a group decision-making method based on weighted hesitant triangular fuzzy distance measurement is proposed and applied to group decision-making under the weighted hesitant triangular fuzzy environment.Numerical examples show that the weighted hesitant triangular fuzzy distance metric has rationality and feasibility in group decision making.