基于前景理论和三角模糊MULTIMOORA的多阶段决策方法

Multi-stage Decision Making Method Based on Prospect Theory and MULTIMOORA in the Triangular Fuzzy Environment

针对时间权重与属性权重完全未知的三角模糊多属性决策问题,基于前景理论和MULTIMOORA提出一种新的决策方法。首先,建立备选方案在不同时段的三角模糊前景决策矩阵,根据时间度及不同时段内备选方案前景值的差异构建时间权重优化模型,并运用最大偏差法的基本思想获得属性权重。其次,基于三角模糊数提出一种新的MULTIMOORA扩展形式,并结合占优理论对备选方案进行比选。最后,通过实例证明了所提方法是可行的,也是有效的。

For the triangular fuzzy multi-attribute decision making problem, in which period weights and attributeweights are completely unknown, a new decisiong making method based on the prospect theory and MULTIMOO-RA was presented. Firstly, the triangular fuzzy prospect decision matrices in different periods are built and theperiod weight optimization model was established on the basis of the time degree and differences of prospectvalues of alternatives in different periods. According to the maximise deviation, attribute weights were deter-mined. Then, a novel extension form of MULTIMOORA was proposed based on the triangular fuzzy number.Alternatives are ranked and selected by the triangular fuzzy MULTIMOORA and the dominance theory. Finally,the feasibility and validity of the proposed method are verified with an example.