基于直觉模糊数的信息不完全的多准则规划方法

Programming method of multi-criteria decision-making based on intuitionistic fuzzy number with incomplete certain information

定义了直觉模糊数和直觉梯形模糊数及其期望值.针对权系数信息不完全确定和准则值为直觉梯形模糊数的多准则决策问题,提出了信息不完全确定的直觉梯形模糊多准则决策的规划方法.该方法利用权系数的不完全信息构造方案集综合期望值的最优线性规划模型,求解该模型得到各准则的最优权系数,进而得到各方案综合期望值的区间数.利用区间数可能度法对其进行比较,得到整个方案集的排序.实例分析说明了该方法的有效性和可行性.

Intuitionistic fuzzy numbers, intuitionistic trapezoidal fuzzy numbers and their expected values are defined. For multi-criteria decision making problems, in which the information on criteria＇s weights is incomplete and the criteria values are intuitionistic trapezoidal fuzzy numbers, a programming method of intuitionistic trapezoidal fuzzy multi-criteria decision making with incomplete certain information on weights is proposed. By using the incomplete information of criteria weight coefficient, the optimized linear programming of alternatives＇ integrated expected values is constructed. By solving the linear programming, the optimized criteria weight coefficients are attained. Then, interval numbers of the alternatives＇ integrated expected values are attained. The ranking of the whole alternatives set can be obtained by comparing interval numbers of the alternatives＇ integrated expected values using possibility degree method. An example analysis shows the feasibility and effectiveness of the method.