基于多值中智集的TODIM方法

TODIM method with multi-valued neutrosophic sets

定义了多值中智集、多值中智数及其期望值以及多值中智数的Hamming距离,并给出了其比较方法.针对准则值为多值中智数的多准则决策问题,将传统的交互式多准则决策(TODIM)方法扩展到多值中智环境中,提出一种基于多值中智集的多准则决策方法.该方法首先选定参考准则:然后以多值中智集的距离为基础构建方案间的价值函数,以得到方案间的优势矩阵,进而计算得到方案的综合排序值;最后通过实例分析表明了该方法的有效性和可行性.

The multi-valued neutrosophic set, the multi-valued neutrosophic number and its expected value as well as the Hamming distance between two multi-valued neutrosophic numbers are defined. Besides, the comparison rules between two multi-valued neutrosophic numbers are also given. For the multi-criteria decision making with multi-valued neutrosophic sets, the traditional TODIM method is extended, and an approach is given. In this method, a reference criterion is selected and then a value function is built based on the Hamming distance between multi-valued neutrosophic numbers. This value function is used to get the ranking order of all alternatives. Finally, a numerical example is given to show the effectiveness and feasibility of the proposed method.