混合多属性决策问题中的权重研究

Research on the Weight of Hybrid Multiple Attribute Decision-making Problem

针对属性值以精确数、区间数、直觉梯形模糊数给出的混合多属性决策问题,提出一种基于属性的可靠性、属性对决策的影响度和决策者对属性的重视程度这三个维度给权重赋值的方法。首先对属性的可靠性进行定义,并计算出属性的可靠性;接着根据属性内部差异最大化求出属性对决策的影响度;随后利用直觉梯形模糊数之间的距离求出决策者对属性的重视程度,并用投影模型将这三个维度进行集成,得到最终的权重值。该方法能够使权重的获取更加全面,最后利用算例证明了本文方法的可行性。

A method is proposed to entrust with the weights for the hybrid multiple attribute decision-making prob- lem with real number, interval number and intuitionistic trapezoidal fuzzy numbers, and the weight is evaluated by three aspects. They are reliability of the attributes, role of the attribute and the decision makers＇ preference of attributes. Firstly we define the meaning of reliability, and calculate reliability. Then the effect of attribute to de- cision is calculated based on the difference between attributes. Next, the distance between the intuitionistic trap- ezoidal fuzzy number is employed to confirm decision makers＇ preference. Moreover, the projected model is used to integrate the three dimensionalities. This approach can make the weight more comprehensive. Finally, a case is applied to demonstrate its feasibility.