一种属性权重未知的区间概率风险型混合多属性决策方法

Method of hybrid multi-attribute decision-making with risk of interval probability under attribute weight unknown

针对指标权重未知的区间概率风险型混合多属性决策问题,提出一种基于熵权和投影理论的决策方法.首先,建立了语言变量和不确定语言变量与梯形模糊数的转化关系,将混合型数据转化成统一的梯形模糊数;然后,通过期望值将风险型决策矩阵转化为确定型决策矩阵,并用熵权法确定各指标权重,计算加权决策矩阵,根据各方案在正负理想方案上投影的相对接近度对方案进行排序;最后,通过应用案例说明了该方法的有效性.

Aiming at hybrid multiple attribute decision-making under the risk of interval probability with weight unknown,a decision approach based on entropy weight and projection theory is presented.Firstly,the transformation from the linguistic variables and uncertain linguistic variables to the trapezoidal fuzzy numbers is established,and the mixed decision data is changed into a single trapezoidal fuzzy number.Then,the risk decision matrix is transformed into certain decision matrix by expectation value,and entropy weight method is used to determine the weights of attributes.On the basis of the attribute weights,the weighted decision matrix is calculated and the alternatives are ranked by relative closeness degree of the projection value from each alternative to the ideal solution and to negative ideal solution.Finally,an application case is given to demonstrate effectiveness of the proposed approach.