基于理想解的区间数多属性决策的相对隶属度法

针对区间数的多属性决策问题,首先将决策者的主观偏好信息所隐含的属性权重通过一个线性规划模型计算出来;其次基于模糊集理论,借助每一方案与理想和劣等方案的综合加权距离,求得每个方案相对于优等方案的相对隶属度,提出了基于理想解的区间数多属性决策的相对隶属度法对方案进行择优和排序,从而较好地确定了属性的权重,且所提出的方法具有更强的排列能力.最后通过算例说明方法的可行性和实用性.

Relative membership degree method for solving multi-attribute decision-making problem based on ideal solution

For solving the multi-attribute decision-making problem whose attribute values are interval numbers,a new method--relative membership degree method is presented.Firstly,the attribute weights which imply the subjective preference of the decision maker are calculated by establishing a linear programming model;and then the relative membership degrees of every optional schemes to ideal scheme are calculated by means of the comprehensively weighted distances between each scheme and the ideal scheme and the worst scheme separately based on fuzzy-set theory;finally,the relative membership degrees are sorted from the greatest one to the least one.The greater the relative membership degree,the better the corresponding scheme.Therefore,the scheme with greatest relative membership degree is the best one.A case is presented for illustrating the feasibility and the practicability of the proposed method.