在PLZN环境下基于组内优势关系的TODIM-PROMETHEE决策方法

TODIM-PROMETHEEⅡDecision Making Method Based on Intra Group Dominance Relationship under Probabilistic Linguistic Z-number Circumstances

针对多准则群决策问题,提出了一种新的关于专家评价组内优势关系,在概率语言型Z-number(Probabilistic Linguistic Z-number)环境中应用TODIM、PROMETHEE决策方法结合起来的一个新的决策方法,不仅避免了TODIM方法的补偿问题,也有效地反映了准则的权重;首先通过引入新定义的影响因子、敏感因子和附加因子确定了组内优势关系,其中敏感因子具有举足轻重的作用;随后根据新的优势关系定义了组内偏离度,据此将同一评价可信度的PLZN融合;其次,根据各组专家评价的可信度,将不同可信度的评价融合,由此新定义了综合偏离度;进一步利用新的决策方法:TODIM-PROMETHEE,先后得到了准则的权重以及综合优势度,根据净流判断方案的先后顺序;最后通过一个实例的应用与分析说明新决策方式的有效性与可行性。

A new decision-making method is proposed for the multi-criteria group decision-making problem,which is related to expert evaluation of intra-group dominance relationship and combines TODIM and PROMETHEE decision-making methods in PLZN(probabilistic linguistic Z-number)environment.It not only avoids the compensation problem of TODIM method,but also reflects the weight of criteria effectively.Firstly,the intra group dominance relationship is determined by introducing the new definition of influence factor,sensitive factor and additional factor,in which the sensitive factor plays an important role;then,the intra group deviation degree is defined according to the new dominance relationship,and the PLZNs of the same evaluation credibility is fused accordingly;besides,according to the credibility of each group of experts,the evaluation of different credibility is fused,and the comprehensive deviation degree is defined.Furthermore,by using a new decision-making method:TODIM-PROMETHEE,the weights of the criteria and the comprehensive dominance are obtained,and the order of alternatives is judged according to the net flow.Finally,an example is given to illustrate the effectiveness and feasibility of the new decision-making method.