偏好信息为模糊互反判断矩阵的模糊多属性决策法

A Method for Fuzzy Multi-attribute Decision Making with Preference Information in the Form of Fuzzy Reciprocal Judgement Matrix

研究只有部分权重信息且决策者对方案的偏好信息以模糊互反判断矩阵形式给出的模糊多属性决策问题。提出了一种基于目标规划模型的模糊多属性决策方法。该法首先基于模糊互反判断矩阵 ,利用转换函数将决策信息一致化 ,建立了一个目标规划模型 ,通过求解该模型确定属性的权重 ,然后运用加性加权法求出各方案的模糊综合属性值 ,并利用已有的三角模糊数排序公式求得决策方案的排序。

The fuzzy multi-attribute decision making(FMADM) problems are investigated, in which the information about attribute weights is known partly and the decision maker has preference (information) on alternatives in the form of fuzzy reciprocal judgement matrix. A method based on (objective) programming model for FMADM is proposed. The method first makes the decision (information) uniform based on fuzzy reciprocal judgement matrix by using a translation function and (develops) an objective programming model, and then determines the attribute weights by solving the (model.) The additive weighting method is used to obtain the fuzzy overall values of alternatives. By (using) the priority formula of triangular fuzzy numbers, the decision alternatives are then ranked. (Finally,) the method is applied to the project evaluation in the field of venture capital.