一种结合主客观信息的多属性决策方法

A Multiple Attribute Decision-Making Approach for Integrating Subjective and Objective Information

摘要: 研究了具有模糊偏好信息的模糊多属性决策问题．提出一种结合主观偏好信息与客观信息的综合特征向量方法．主观偏好信息由决策方案的模糊偏好互补矩阵和属性权重的两两比较互反矩阵组成，客观信息由客观决策矩阵组成．给出了求解模糊多属性决策问题的最小二乘偏差估计方法．通过建立二次规划模型决定属性权重向量，并对方案进行排序．最后，给出了使用该方法的数值例子．

Abstract: The fuzzy multiple attribute decision-making (MADM) problem with fuzzy preference information is investigated.An integrated eigenvector method is proposed to combine the subjective preference information with the objective information.The subjective preference information is expressed by a fuzzy preference complementary matrix of the decision alternatives and a pairwise comparison reciprocal matrix of the weights of attributes,and the objective information is expressed by a objective decision matrix.A least-square deviation estimation method is proposed to solve the multiple attribute decision-making problems.The quadratic programming model is constructed to determine the weight vector of the attributes and to rank the alternatives.Finally,a numerical example is presented to illustrate the usefulness of the proposed method.