基于权重集结和相对优势关系的多属性决策方法

分析多属性决策方法中决策矩阵规范化和属性权重计算等步骤可能对决策方法合理性造成的不良影响,为克服这些不良影响,提出一种新的多属性决策方法.该方法采用群决策模式进行赋权,在对专家意见进行一致性分析的基础上,集结各位专家给出的属性权重,通过定义备选方案在属性值为实数、区间数和语言值等不同类型属性上的相对优势关系构造判断矩阵,并以此建立方案效用值计算的线性目标规划模型,从而实现备选方案的评价和排序.实例研究表明了所提出方法的可行性和有效性.

Multiple attribute decision making method based on weights aggregation and relative dominance relation

The possible adverse influence of the steps in a multiple attribute decision making method, including normalization of the decision matrix and calculation of the attributes weights, on the reasonableness of the method is analyzed. To eliminate the bad effects caused by above mentioned steps, a new multiple attribute decision making method is proposed. The method calculats attributes weights based on a group decision making mode. The attributes weights are gained by aggregating those attributes weights given by experts whose judgements are consistent. Then by defining the relative dominance relations between schemes upon different kinds of attributes whose values are real numbers, interval numbers or linguistic values, a judgment matrix is constructed. On that basis, a linear objective programming model is established to calculate the utility value of each scheme, which is used in scheme evaluation and sorting. Finally, an example is given to illustrate the feasibility and effectiveness of the proposed multiple attribute decision making method.