模糊数互补判断矩阵的乘性一致性研究

On the Multiplicative Consistency of Fuzzy Number Complement Judgment Matrix

指出了文献[13]中乘性一致性区间数互补判断矩阵定义的不足,并重新提出了较为合理的定义,进而定义了乘性一致性模糊数互补判断矩阵。通过引入Q-算子和Q-矩阵,给出了判断一个模糊数互补判断矩阵是否满足乘性一致性的较为实用的检验方法。最后通过一个算例说明了此方法的可行性和简洁性。

This paper points out the shortage of the definition of multiplicative consistent interval number complementary judgment matrix in paper[ 13 ], and gives a new reasonable definition. Then the paper defines the multi-plicativconsistency fuzzy number complementary judgment matrix. According to the introduction of Q-matrix and Q-operator, a more practical approach to determine whether a fuzzy number complementary comparison matrix meets the multiplicative consistency is proposed. Finally, a numerical example is given to test the feasibility and validity of this method.