基于区间梯形二型犹豫模糊数的多准则决策方法

Multi-criteria decision making method based on trapezoidal interval type-2 hesitant fuzzy number

针对准则权重不完全的犹豫模糊多准则决策问题,提出基于区间梯形二型犹豫模糊数的决策方法.首先,给出区间梯形二型犹豫模糊数,根据几何面积法定义区间梯形二型犹豫模糊数的可能度和差异度;然后,利用差异度和离差最大化模型得到各准则权重,基于TOPSIS思想得到各方案的综合贴近度,并对方案进行排序;最后,通过算例分析和对比分析验证了所提出方法的可行性和有效性.

In view of hesitant fuzzy linguistic multi-criteria decision making problems in which the criteria weights are partially unknown, a hesitant fuzzy linguistic multi-criteria decision making method is proposed. Firstly, the trapezoidal interval type-2 hesitant fuzzy number is proposed. Then, the weights of the criteria are determined by the model of maximizing on the basis of the difference degree. Moreover, the weighted similarity degree of every alternative with ideal points is displayed to rank all the alternatives. Finally, an example is given to illustrate the effectiveness of the proposed method.