基于广义梯形模糊数相似度的交叉效率集结

目的/意义在现实世界的决策问题中，决策者的主观偏好和心理预期的高低会影响其对效率的评价结果，而传统的交叉效率评价方法并未考虑这一因素。针对这个问题，基于前景理论，考虑在复杂的现实问题中各决策者参考点的多样性，构建具有双参考点的决策者评价策略模型。设计/方法首先从外部、内部两个方面定义参考点，设置双参考点以反映决策者外部竞争优势和内部自身特点。其次针对两个参考点分别利用前景理论的价值函数计算各参照点下的价值。随后，通过引入正理想点侧重系数，进一步综合各参照点下的前景价值，构建反映决策者偏好的双参考点前景理论——交叉效率模型，并求解得到改进的交叉效率矩阵。结论/发现该评价策略方法能根据决策者不同的心理偏好得到更为合理的评价结果。

Measuring the efficiency of decision making units

[Purpose/Significance] In the practice of decision making, the decision-maker’s subjective preferences and psychological expectations will affect the efficiency evaluation results.However, this factor was not taken into account in the traditional cross-efficiency evaluation method.In response to the problem, considering the diversity of reference points in complex real-world problems, this paper constructs an efficiency evaluation strategy model with double reference points based on prospect theory. [Design/Methodology] The paper first defines reference points from both external and internal aspects, and sets double reference points to reflect the external competitive advantages and internal characteristics of decision makers.Then, the value of each reference point is calculated by using the value function of prospect theory. Further, the positive ideal point coefficient is introduced to integrate the prospect value and construct cross efficiency model based on double reference points with prospect theory, then solve the improved cross efficiency matrix. [Findings/Conclusions] This evaluation strategy method obtains more reasonable evaluation results according to the different preferences of decision makers.