基于相对隶属度的模糊信息的多目标决策法

Approach to multi-objective decision-making with fuzzy Information based on relative membership degree

针对模糊信息的多目标决策问题,基于模糊集理论,首先,将决策者的主观偏好信息所隐含的目标权重通过一个线性规划模型计算出来。其次,借助每一方案与最优、最劣方案的综合加权距离,求得每个方案相对与最优方案的相对隶属度,提出了基于相对隶属度的模糊信息的多目标决策的相对隶属度法对方案进行择优和排序。最后,通过算例说明方法的可行性和实用性。

Based on fuzzy set theory, this paper firstly presents a new method for calculating the object weights which imply the subjective preference of the maker in multi-objective decision-making problem; then, the relative membership degree to which an alternative corresponds to the best plan is obtained by means of the synthetically weighted distance between the best and worst plan, and proposes a relative membership degree approach to multi-objective decision-making with fuzzy information based on the relative membership degree to choose the best and rank priorities. Finally, a numerical example is illustrated to show the feasibility and practicability of the developed method.