A Hesitant Fuzzy Multi-Attribute Group Decision Making Method Based on Prospect Theory

基于前景理论的一种犹豫模糊多属性群决策方法

School of Automation, Northwestern Polytechnical University, Xi’an 710072, China

Received: 20 May 2017

Abstract

To solve a multi-attribute group decision-making problem, since its attribute weight is completely unknown, based on the prospect theory, a hesitant fuzzy multi-attribute group decision making method is proposed. According to the single-attribute-preference function provided by a decision maker, an improved entropy weight method is proposed to calculate the attribute weight. The hesitant fuzzy decision-making matrix is transformed into the prospect decision-making matrix which utilizes positive and negative ideal solutions as reference points. Then alternative schemes are ranked according to the ratio of profit to loss. Finally, a numerical example is provided to verify the effectiveness and feasibility of the proposed method.

摘要

针对犹豫模糊环境下属性权重未知的多属性群决策问题，建立了一种基于前景理论的犹豫模糊多属性群决策方法。根据决策者的单属性偏好函数，提出了一种改进的熵权法来确定属性权重。通过引入前景理论，将犹豫模糊决策矩阵转换为基于参考点为正负理想解的前景决策矩阵，利用方案的收益损失比代替贴合度，并依此对方案进行排序，最后验证了该方法的有效性和可行性。