一种属性变量为Vague集的多属性决策方法

An approach for multiple attribute decision-making based on Vague sets

针对属性值为Vague值的多属性决策问题,提出了一种灰色关联度和TOPSIS方法相结合的决策方法.首先根据Vague集的特点,确立了理想解和负理想解的记分函数标准,计算各方案与理想解和负理想解的灰色关联度,然后根据TOPSIS方法计算各方案的相对贴近度,根据相对贴近度大小确定方案的优劣排序,最后结合案例说明了基于Vague集的灰色关联TOPSIS方法的评价过程以及该方法的有效性和优越性.

A novel multi-attribute decision-making approach which combines gray relational grade and the technique for order preference by similarity to an ideal solution （TOPSIS） is presented to solve the multiple attribute decisionmaking problem in which an attribute is a Vague value. First, it was necessary to establish the criteria for score function of the ideal solution and the negative ideal solution, this was determined based on the characteristics of Vague sets. Then the gray relational grades of the ideal solution and the negative ideal solution in every alternative were calculated. Next, the relative closeness of every alternative was calculated based on TOPSIS and alternatives were ranked according to their values of relative closeness. Finally, a numerical example was given to prove the approach to be more efficient and advantageous.