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
发布时间：2018-08-08 11:48
【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。
[Abstract]:A stochastic multi-attribute decision making method based on regret theory and group satisfaction is proposed for the stochastic multi-attribute decision making problem in which the attribute weight is completely unknown and the attribute value is a hesitant fuzzy element. Firstly, in order to avoid the subjective randomness brought by a given reference point, a group satisfaction degree is defined based on the variance and score function of attribute value, and an attribute weight optimization model is established according to group satisfaction. Secondly, based on regret theory, the regret value matrix and the delight value matrix are constructed, and the scheme is sorted according to the overall psychological perception of the decision group. Finally, an example is given to verify the feasibility and effectiveness of the method.
【作者单位】： 安徽工业大学数理科学与工程学院;南京航空航天大学经济与管理学院;
【基金】：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)
【分类号】：C934
本文编号：2171700
[Abstract]:A stochastic multi-attribute decision making method based on regret theory and group satisfaction is proposed for the stochastic multi-attribute decision making problem in which the attribute weight is completely unknown and the attribute value is a hesitant fuzzy element. Firstly, in order to avoid the subjective randomness brought by a given reference point, a group satisfaction degree is defined based on the variance and score function of attribute value, and an attribute weight optimization model is established according to group satisfaction. Secondly, based on regret theory, the regret value matrix and the delight value matrix are constructed, and the scheme is sorted according to the overall psychological perception of the decision group. Finally, an example is given to verify the feasibility and effectiveness of the method.
【作者单位】： 安徽工业大学数理科学与工程学院;南京航空航天大学经济与管理学院;
【基金】：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)
【分类号】：C934
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