区间犹豫模糊ELECTRE多属性决策方法及应用

doi:10.12005/orms.2015.0191

运筹与管理 ›› 2015, Vol. 24 ›› Issue (6): 16-24.DOI: 10.12005/orms.2015.0191

区间犹豫模糊ELECTRE多属性决策方法及应用

于倩, 侯福均, 翟玉冰, 杜玉琴

北京理工大学管理与经济学院, 北京 100081

收稿日期:2014-10-21 出版日期:2015-12-25
作者简介:于倩(1984-),女,博士研究生,研究方向:多属性决策,最优化分析;侯福均(1967-),男,副教授,博士生导师,研究方向:决策理论与方法,运筹与优化,不确定理论及应用。
基金资助:
国家自然科学基金资助项目(71571019)

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

YU Qian, HOU Fu-jun, ZHAI Yu-bing, DU Yu-qin

School of Management and Economics, Beijing Institute of Technology, Beijing 100081, China

Received:2014-10-21 Online:2015-12-25

摘要/Abstract

摘要： 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。

关键词: IVHF ELECTRE方法, 多属性决策(MADM), 区间犹豫模糊集(IVHFS), TOPSIS

Abstract: 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.

Key words: IVHF ELECTRE method, multi-attribute decision making(MADM), interval-valued hesitant fuzzy set(IVHFS), TOPSIS

中图分类号:

C934

于倩, 侯福均, 翟玉冰, 杜玉琴. 区间犹豫模糊ELECTRE多属性决策方法及应用[J]. 运筹与管理, 2015, 24(6): 16-24.

YU Qian, HOU Fu-jun, ZHAI Yu-bing, DU Yu-qin. ELECTRE-Based Measure for Multi-Attribute Decision Making Using Interval-Valued Hesitant Fuzzy Set[J]. Operations Research and Management Science, 2015, 24(6): 16-24.

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区间犹豫模糊ELECTRE多属性决策方法及应用

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

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