基于相容性准则的群组决策专家赋权最优模型

Optimal model of weighting experts in group decision-making based on compatibility criterion

在群组决策中,针对专家给出的正互反判断矩阵提出一种专家赋权最优模型。在判断矩阵满足完全一致性的条件下,探讨了加权几何平均组合判断矩阵与加权几何平均组合向量所构成的特征矩阵的相容性。同时在相容性概念基础上,建立了基于相容性准则下的专家赋权方法的最优化模型,研究了模型的求解方法。最后进行了实例分析,结果表明提出的模型是合理可行的。

According to the reciprocal judgment matrices provided by experts, the optimal model of weigh ring experts is proposed in the group decision-making. Under the conditions of judgment matrices satisfying con sistency, the compatibility of judgment matrices is discussed between the weighting geometric averaging combi nation judgment matrix and the characteristic matrix formed by weighting geometric averaging combination vec tors. Based on the concept of compatibility, the optimal model of weighting experts is constructed under the cri terion of minimizing the compatibility of judgment matrices. The solving method for the model is also discussed Finally, an example is illustrated and the results show that the model is reasonable and feasible.