区间犹豫模糊ELECTRE多属性决策方法及应用

近年来,多属性决策问题一直是广大学者研究的重点,然而基于ELECTRE方法的区间犹豫模糊多属性决策问题的研究并不多见。因此,结合区间犹豫模糊集的信息表达优势和ELECTRE方法的思想,提出了一种区间犹豫模糊ELECTRE(IVHF ELECTRE)多属性决策新方法。首先构造了区间犹豫模糊决策矩阵,引入得分函数和可能度的概念,构造属性优势集和属性劣势集。然后通过设定阈值得到综合优先判定矩阵,从而得到各方案间的优先顺序。为了进一步得到各方案的整体排序,引入TOPSIS方法,通过计算各方案与正负理想点的相对距离来构造综合优先矩阵,从而得到各方案的总体排序。最后通过具体实例验证了该方法的可行性和合理性。

ELECTRE-Based Measure for Multi-Attribute Decision Making Using Interval-Valued Hesitant Fuzzy Set

For the past decades, the multi-attribute decision making problem has always been the focus of many scholars. However, there is a still blank in using the ELECTRE(Elimination Et Choice Translating Reality)method to solve multi-attribute decision making(MADM)problems with interval-valued hesitant fuzzy information. By combining the expression advantage of interval-valued hesitant fuzzy sets and the idea of the ELECTRE method, an interval-valued hesitant fuzzy ELECTRE(IVHF ELECTRE)method is proposed. Firstly, the interval-valued hesitant fuzzy decision matrix is constructed, and the concordance set and discordance set are defined by introducing the concept of score function and possibility. Then comprehensive judgment matrix is calculated by setting the threshold value to obtain the preference ranking of the alternatives. In order to further get overall sort of the alternatives, the TOPSIS method is introduced. And the comprehensive preference matrix is constructed by calculating the distance between each alternative and the ideal point to obtain the complete ranking of the alternatives. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.