基于后悔理论和证据理论的犹豫模糊决策方法

发布时间：2018-05-30 09:59

本文选题：犹豫模糊集 + 后悔理论　；参考：《计算机应用》2017年02期

【摘要】：针对属性值为犹豫模糊信息、属性权重和自然状态发生概率完全未知的多属性群决策问题,考虑决策者心理行为,提出一种基于后悔理论和证据理论的多属性群决策方法。首先,运用证据理论计算各自然状态发生的概率;然后,基于区间模糊矩阵、t-分布估计以及得分函数矩阵确定属性信息的效用值,进而依据后悔理论得到每个自然状态下的感知效用矩阵;通过加权算术平均得到综合感知效用矩阵,并依据方案综合感知效用的大小确定方案优劣排序;最后,将所提方法运用于对投资公司的选择实例中。实验结果表明,虽然所提方法与现有方法得到的决策结果相同,但是所提方法在决策过程中只需考虑较少数量的参数。对比分析实验表明,所提方法得到的决策结果合理、可靠,且能反映实际决策情况。
[Abstract]:Considering the psychological behavior of decision makers, a multi-attribute group decision making method based on regret theory and evidence theory is proposed to solve the multi-attribute group decision making problem in which the attribute value is uncertain information, attribute weight and the probability of occurrence of natural state are completely unknown. Firstly, the probability of each natural state is calculated by using evidence theory, then, the utility value of attribute information is determined based on interval fuzzy matrix estimation and score function matrix. Then according to regret theory, the perceptual utility matrix of each natural state is obtained; the comprehensive perceptual utility matrix is obtained by weighted arithmetic average, and the order of scheme is determined according to the magnitude of the scheme comprehensive perceptual utility. Finally, The proposed method is applied to the selection of investment companies. The experimental results show that although the proposed method has the same decision results as the existing methods, the proposed method only needs to consider a small number of parameters in the decision-making process. The experimental results show that the proposed method is reasonable, reliable and can reflect the actual decision-making situation.
【作者单位】：常州大学信息科学与工程学院;
【基金】：江苏省科技支撑计划(工业)重点项目(BE2013005-3)~~
【分类号】：O225

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