模糊数互补判断矩阵的乘性一致性检验及改进方法

Multiplicative Consistency Test and Modification Approach of Fuzzy Number Complementary Judgment Matrix

针对模糊数互补判断矩阵的乘性一致性检验及改进问题进行研究。在文献[11]引入模糊数的Q-算子和模糊数互补判断矩阵的Q-算子矩阵概念的基础上,通过构造具有乘性一致性的特征矩阵及偏差矩阵,建立了衡量乘性一致性程度的指标值并用设定阈值的方法给出了满意乘性一致性的概念,对于不满足满意乘性一致性的情况提出了改进方法。最后通过一个算例说明了此方法的可行性。

We research on the multiplicative consistency test and modification approach of fuzzy number comple- mentary judgment matrix. It is based on the Q-operator of fuzzy number and Q-operator matrix of fuzzy number complementary judgment matrix introduced in paper[ 11 ]. By constructing characteristic matrix with muhiplica- tire consistency and deviation matrix, we establish a measurement index of the multiplicative consistency degree. Meanwhile, the conception of satisfying multiplieative consistency is given by setting threshold. An improved method is proposed for those not satisfying multiplicative consistency. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.