一种属性信息不完全的TODIM决策方法

针对属性信息不完全的多属性决策问题,考虑到决策者具有参照依赖和损失规避行为,提出一种不完全信息的TODIM决策方法。首先,在考虑决策者参照依赖和损失规避行为的基础上,计算每个方案相对于其它方案关于每个属性的优势度;然后计算每个方案相对于其它所有方案的总体优势度;再以最大化所有方案的总体优势度作为目标函数,建立确定最优方案的优化模型。进一步,利用TODIM方法的思想,计算每个方案相对于其它所有方案的总体优势度,从而对方案进行排序。最后通过一个风险投资的算例验证该方法的可行性和有效性。

Method of TODIM Decision Making for Incomplete Evaluations

With respect to the multi-attribute decision making problem with incomplete evaluations, in which the reference dependence and loss aversion behaviors of the decision maker are considered, and a TODIM decision making approach is proposed. Firstly, considering the reference dependence and loss aversion behaviors of the decision maker, the dominance degree of each alternative over another one with respect to each attribute is computed. Then the dominance degree of each alternative over others can be obtained. Furthermore, by maximizing the overall dominance degree for all of the alternatives, an optimization model is established. In addition, the overall dominance degree for each alternative over all others, based on TODIM method, can be calculated to obtain the ranking result of alternatives. Finally, an example of venture investment is given to illustrate the feasibility and validity of the proposed method.