多属性群决策权重调整自适应算法

摘要

研究多属性群决策中权重确定问题。对属性权重采用目标规划法进行优化；计算专家个体决策结果与群体决策结果的灰色关联度，据此对初始专家权重进行调整更新，进而调整更新初始群决策结果；根据2阶Minkowski距离继续对专家权重进行自适应调整，直至计算出稳定的专家权重和群决策结果。通过对风电机组设备供应商的评价表明了该方法的可行性与实用性。%This paper studies weight adjustment in multiple attributes group decision making model. The attribute weights respectively calculated by methods of AHP and entropy are optimized based on objective programming model. The initial weights of decision-makers are updated by the grey correlation degree between the individual decision results and the group decision results. The group decision results are updated. Then the weight-adjusting is continued on the basis of the new group decision results. Based on 2-norm Minkowski measure, the steady weights of decision-makers and final results of the group are gotten with the process of adjustment. A numerical example to evaluate wind power equipment supplier shows the feasibility and practicability of the proposed algorithm.