基于前景理论的犹豫模糊TOPSIS多属性决策方法

发布时间：2018-06-14 15:09

本文选题：犹豫模糊集 + 多属性决策　；参考：《控制与决策》2017年05期

【摘要】：针对属性权重未知、属性值为犹豫模糊集的决策问题,提出一种前景理论和逼近理想解(TOPSIS)相结合的多属性决策方法.考虑到决策者对指标集的不同偏好,利用犹豫模糊熵的相关理论,提出一种基于犹豫模糊熵的熵权法确定属性权重.将决策者的风险心理因素引入犹豫模糊多属性决策中,定义了犹豫模糊数的前景价值函数,并以此将犹豫模糊决策矩阵转化为价值矩阵,计算出各方案的收益损失比值.最终应用TOPSIS的基本思路,确定备选方案的优劣排序,并通过算例分析验证了所提出方法的有效性.
[Abstract]:In order to solve the problem that the attribute weight is unknown and the attribute value is a hesitant fuzzy set, a multi-attribute decision making method combining the foreground theory and the approximate ideal solution (Topps) is proposed. Taking into account the different preferences of decision makers on the index set, an entropy weight method based on hesitating fuzzy entropy is proposed to determine the attribute weight by using the theory of hesitant fuzzy entropy. The risk psychological factors of decision-makers are introduced into the multi-attribute decision-making of hesitant fuzzy, and the foreground value function of the hesitant fuzzy number is defined, and the value matrix of the hesitant fuzzy decision is transformed into the value matrix, and the profit loss ratio of each scheme is calculated. Finally, the basic idea of TOPSIS is applied to determine the superiority and inferiority of the alternatives, and the effectiveness of the proposed method is verified by an example.
【作者单位】：福州大学决策科学研究所;
【基金】：国家自然科学基金项目(71501047) 教育部人文社会科学研究青年基金项目(14YJC630056)
【分类号】：C934

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