基于离散Z+-number集的改进TODIM方法及其应用

An improved TODIM method and its application based on discrete Z+-number set

针对离散Z+-number环境下的多属性决策问题,将经典的交互式多准则决策方法(TODIM)拓展到Z+-number集中,提出了一种改进的TODIM方法。首先,构造了新的潜藏概率求解模型,实现了离散Z+-number集向离散Z+-number集的转化;然后,通过定义离散Z+-number集的海明距离,计算每个方案相对于其他方案在每个属性下的优势度与总体优势度,并结合优势矩阵计算各方案的综合排序值,从而提出一种基于离散Z+-number集的多属性决策新方法;最后,通过一个风险投资的算例验证了该方法的可行性和稳健性,也为离散Z+-number环境下的决策问题提供了一种新的解决方案。

To solve the multi-attribute decision-making problem in discrete Z+-number environment,the traditional TODIM is extended to Z+-number set,and a new improved TODIM method has been proposed.First,a new underlying probability solution model is constructed to complete the transformation from Z-number to Z+-number.Then,the Hamming distance of Z+-number has been defined,the dominance degree of each alternative under different attributes relative to other alternatives has been calculated,and the comprehensive ordering values have been obtained by the dominance matrix,and then a new multiple attribute decision-making method of discrete Z+-number has been proposed.Finally,the feasibility and robustness of the proposed method have been tested by an illustrative example of the venture investment.