基于区间数的多时点多属性灰靶决策模型

Multi-period and multi-criteria decision making model of grey target based on interval number

针对多属性决策的不确定性和多时点性,提出基于区间数的多时点多属性灰靶决策模型.该方法依据逼近理想解方法和区间数的运算规则,结合指标权重来计算案例的正负靶心距;基于灰熵和时间度建立时点权重的求解模型;根据指标权重和时间点权重给出对各时点的靶心距进行集结的目标函数,利用隶属度对案例进行排序,进一步完善了灰靶决策理论.最后,通过具体算例验证了所提出模型的可行性和有效性.

A new multi-period and multi-criteria decision making model of grey target is proposed for the uncertainty and multi-stage of decision making. Based on TOPSIS and the algorithm of interval number, the measuring function of target- center distances for the cases is presented, which takes the weights of criteria into account. According to grey entropy and the time temperature, a calculating model for the weights of the time sequence is constructed. Based on the weights of criteria and time sequence, the objective function of clustering algorithm is proposed, which aggregates target-center distances of all evaluated period. The evaluated value of every scenario is obtained, which improves the theory of the grey target decision- making further. Finally, an example shows the effectiveness and practicability of the model.