基于直觉梯形模糊数的信息不完全确定的多准则决策方法

Multi-criteria decision-making method with incomplete certain information based on intuitionistic fuzzy number

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,提出一种基于直觉梯形模糊的信息不完全确定的多准则决策方法.该方法利用权系数的不完全确定信息,建立关于各方案综合直觉梯形模糊数与理想解和负理想解的Hamming距离的优化模型,通过求解优化模型可得到各准则的最优权系数,进而得到各方案与相对理想解的贴近度,再根据贴近度得到方案集的一个排序.实例分析表明了该方法的有效性和可行性.

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 method of multi-criteria decision-making with incomplete certain information based on intuitionistic trapezoidal fuzzy number is proposed. By using the incomplete certain information of criteria weight coefficient, the optimized nonlinear programming based on Hamming distance between integrated intuitionisitc trapezoidal fuzzy number of each alternative and ideal-solution and non-ideal solution is constructed. By solving the nonlinear programming, the optimized criteria weight coefficients are attained. Then, the relative closeness to the ideal solution of alternative is obtained. The ranking of the alternatives set can be obtained by comparing the relative closeness of alternatives. Finally, an example analysis shows the feasibility and effectiveness of the method.