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中国管理科学

中国管理科学 ›› 2017, Vol. 25 ›› Issue (10): 171-178.doi: 10.16381/j.cnki.issn1003-207x.2017.10.018

• 论文 • 上一篇    下一篇

基于后悔理论与群体满意度的犹豫模糊随机多属性决策方法

刘小弟1, 朱建军2, 张世涛1, 刘思峰2   

  1. 1. 安徽工业大学数理科学与工程学院, 安徽 马鞍山 243002;
    2. 南京航空航天大学经济与管理学院, 江苏 南京 211106
  • 收稿日期:2016-09-20 修回日期:2017-03-01 出版日期:2017-10-20 发布日期:2017-12-15
  • 通讯作者: 刘小弟(1981-),男(汉族),安徽合肥人,安徽工业大学数理科学与工程学院副教授,博士,研究方向:决策理论与方法,E-mail:lxy1160@163.com. E-mail:lxy1160@163.com
  • 基金资助:

    国家自然科学基金资助项目（71601002，71673001，71571100，71303004，71171112）；国家社会科学基金重点项目（14AZD049）；教育部人文社科研究青年基金项目（16YJC630077）；安徽省自然科学基金（1708085MG168）；安徽省哲学社会科学规划基金（AHSKY2015D79）

Hesitant Fuzzy Stochastic Multiple Attribute Decision Making Method Based on Regret Theory and Group Satisfaction Degree

LIU Xiao-di1, ZHU Jian-jun2, ZHANG Shi-tao1, LIU Si-feng2   

  1. 1. School of Mathematics and Physics, Anhui University of Technology, Ma'anshan 243002, China;
    2. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
  • Received:2016-09-20 Revised:2017-03-01 Online:2017-10-20 Published:2017-12-15

PDF (PC)

1010

被引次数

9

摘要： 针对属性权重完全未知，属性值为犹豫模糊元的随机多属性决策问题，提出一种基于后悔理论与群体满意度的随机决策方法。首先，为避免人为给定参考点带来的主观随机性，基于属性值的方差与得分函数定义一种群体满意度，并根据群体满意度建立属性权重优化模型。其次，基于后悔理论构建方案两两相比的后悔值矩阵与欣喜值矩阵，并根据决策群体总体心理感知值对方案进行排序。最后，给出算例验证方法可行性与有效性。

关键词: 犹豫模糊元, 群体满意度, 后悔理论, 随机决策

Abstract: Hesitant fuzzy set is a useful tool to model the situation where people have hesitancy to provide their preferences over alternatives, and it has attracted more and more attention from researchers in recent years. However, few studies focus on the hesitant fuzzy stochastic multiple attribute decision making problems in which the regret aversion behavior of the decision makers is considered. In this paper, a stochastic decision method based on regret theory and group satisfaction degree is proposed to deal with the stochastic multiple attribute decision making problems, in which the attribute weights are completely unknown and the attribute values take the form of hesitant fuzzy elements. Firstly, a novel group satisfaction degree based on the variance and score of attribute value is defined to avoid the subjective randomness caused by the artificially given reference points in advance. Comparing with the existing method, the novel hesitant fuzzy group satisfaction degree can well reflect the group divergence and has the characteristic of higher distinguishability. Then, an optimization model based on the group satisfaction degree for attribute weights is constructed and the weight vector of the attributes can be obtained through solving the model. Secondly, on the basis of the regret theory, the regret and rejoice valued matrices are constructed by the pair-wise comparison of alternatives, and the ranking of alternatives can be obtained according to the total psychological perception value of the decision group. Lastly, a numerical example is given to demonstrate the applicability and feasibility of the proposed method. Also, a comparative analysis with other relevant methods is presented. By developing the stochastic multiple attribute decision method with hesitant fuzzy information, horizons of research are broadened, and thus the level of group decision making is raised under hesitant fuzzy environment.

Key words: hesitant fuzzy element, group satisfaction degree, regret theory, stochastic decision making

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