基于灰色系统理论的多属性群决策专家权重的调整算法

Algorithm for adjusting weights of decision-makers in multi-attribute group decision-making based on grey system theory

研究多属性群决策中专家权重的调整问题.在得到专家主观权重的基础上,提出一种权重调整算法.通过计算专家个体决策结果与群体决策结果的灰色关联度并结合初始权重求得专家的综合权重,运用专家的综合权重计算调整后的决策结果,并据此继续对权重进行调整,直至计算出稳定的权重和决策结果.通过对嵌入式计算机的性能评价表明了该方法的可行性与实用性.

The problem of adjusting the weights of decision-makers in multi-attribute group decision-making is studied. An algorithm of weight-adjusting is proposed on the basis of obtaining the subjective weights of decision-makers. The objective weights of decision-makers are calculated by the grey correlation degree between the decision results of the individual and the group and combining with the initial weight. The objective weights are taken as the value of adjusting-weight to adjust the weights of decision-makers. The result is calculated after the adjustment, and the weight-adjusting is continued on the basis of the new result. The steadyweights and final result of group decision-making are calculated after the process of adjustment. Finally, a numerical example to evaluate the embedded computer shows the feasibility and practicability of the proposed algorithm.