模糊层次分析法(FAHP)

Fuzzy Analytical Hierarchy Process

首先通过分析指出层次分析法 ( AHP)存在的问题 ,然后给出了较文献 [2 ]条件更弱的模糊一致矩阵的定义 ,并对新定义的模糊一致矩阵的性质 ,用模糊一致矩阵表示因素两两重要性比较的合理性以及表示因素两两重要性比较的模糊一致矩阵同表示因素重要程度权重之间的关系进行了讨论 ,最后给出了模糊层次分析法的原理和步骤。

Firstly the paper pointed out the defects of AHP. Then,the paper introduced the concept of fuzzy consistent judgement matrix,and studied the properties of fuzzy consistent judgement matrix and the rationality to denote the important comparision of elements by fuzzy consistent judgement matrix,and the relation between the fuzzy consistent judgement matrix denoting the important comparision and the weigtht denoting the level of importance of element. On the basis of the research,the paper gave the principle and procedure of fuzzy analytical hierarchy process.