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

作　　者：胡军华[1] 蓝霞[1] 陈鹏[1] 

机构地区：[1]中南大学商学院,长沙410083

出　　处：《控制与决策》2015年第5期780-788,共9页Control and Decision

基　　金：国家自然科学基金项目(71371196);国家创新研究群体科学基金项目(71221061);教育部人文社会科学研究规划基金项目(11YJA630031)

摘　　要：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.

关 键 词：犹豫模糊数 区间梯形二型模糊数 可能度 差异度 多准则决策 

分 类 号：C931[经济管理—管理学]