基于投影的单值中智集MAGDM一致性合成方法

A Projection Method for Single Valued Neutrosophic Group Decision Making Based on Consistency Degree

针对投影测度下的属性值和属性权重均为单值中智集的多属性群决策问题,提出了一种基于投影的群决策一致性合成方法。该方法以群体评价均值矩阵和群体评价正、负理想值矩阵为群体评价的参考基准,根据投影测度,构建了衡量决策者个体评价与群体评价一致性程度的投影贴近度公式;进而以决策者的相对一致性程度和决策者重要性合成得到策者权重,并构造加权规范化的群体最终决策矩阵;然后以单值中智集得分函数求解各方案的最终得分并排序;并给出详细的决策步骤,最后通过算例同其他方法进行了对比分析,表明本文方法的可行、有效。

Aiming at the multiattribute group decision-making problem, in which attribute values and weights are single valued neutrosophic sets, a new projection method for single valued neutrosophic group decision making based on consistency degree is put forward. According to the basic idea of projection method, the positive and negative ideals of group decision matrixes as the basic references of group decision making. Considering the projection relationship between personal and group decision, a new closeness degree formula based on projection to measure the relative consistency degree between personal and group decision is constructed. Then the weights of decision makers are acquired by combining the relative consistency degree with importance of decision makers, and the final weighted standardized group decision matrix is build. Next, the scoring function of single valued neutrosophic sets is presented to calculate the final score of these schemes and rank them. Finally, a numerical example is given to illustrate the validity and feasibility of the proposed method. The detailed decision making steps are given. Finally, an application example is analyzed. At last, the method proposed and others are compared, which shows the effectiveness and feasibility of the method.