基于灰色关联度和靶心距的多属性决策模型及其应用

Multi-attribute decision model based on grey correlation degree and bull′s-eye distance and its application

为解决决策指标为区间数的多属性决策问题,提出了基于灰色关联度和靶心距的决策模型。该模型通过构建正负理想方案和正负靶心,考虑备择方案与理想方案在形状上的相似性和在位置上的接近性,计算备择方案的优属度和贴近度。通过引入相似性偏好,计算综合优属度,利用方案的综合优属度,从整体性的视角获得最优决策方案,并通过实例验证了该模型的有效性。

To solve the problem of the multi-attribute decision-making where the decision index is interval number,a decision-making model based on grey correlation degree and bull′s eye distance is proposed.The superior degree and closeness of the alternative scheme were calculated by building the positive and negative ideal scheme and the positive and negative target center,and by considering the similarity in shape and proximity in position between the alternative scheme and the ideal scheme.The similarity preference is introduced to calculate the comprehensive superior degree of the scheme,through which the optimal decision scheme is obtained from the holistic perspective.Finally,the validity of the model is verified via example experiments.