基于粗糙集的层次分析及其应用

Analytical Hierarchy Process and Its Application Based on Rough Sets Theory

在实际择优决策过程中,层次分析法被广泛使用,而在不完备复杂信息系统中粗糙集理论被大量使用,对系统进行约简。本文在层次分析方法的基础上,通过粗糙集理论对层次分析模型中矩阵的维数进行了降维,有效地改善复杂大系统的处理复杂度,提升了计算机利用层次分析法解决实际择优问题的效率。实例证明了该方法的可行性和有效性。

The AHP method is used broadly in the actual process of selecting the best result, Meanwhile, The Rough Sets theory is used greatly in the incomplete and complex information systems, This article reduces the dimension of the matrix in the AHP model by using Rough Sets theory, and improves the space complexity of the complex systems, and promotes the efficiency of solving the actual problem of selecting the best result, The example is given to prove that this method is feasible and efficacious.