模糊互补矩阵的广义一致性变换及其性质研究

摘要

This paper defines the generalized consistency transformation of fuzzy complementary matrix, and demonstrates properties of fuzzy complementary matrix after the generalized consistency transformation has been done. It proposes that the finding from related literatures is only correct in the special case included in this research. It also deepens the understanding of parameters ;S, and the interval of the parameter values is located reasonably in this paper, thus the paper extends the fuzzy consistent matrix and its properties to a broader field of application theoretically.%本文给出了模糊互补矩阵广义一致性变换的定义,并论证了模糊互补矩阵经广义一致性变换后所具有的性质；指出相关文献的研究成果只是本文研究结论的特殊情况；深化了对参数β的理解,并给出了该参数取值范围的一个合理区间,从而把模糊一致矩阵及其性质从理论上推广到更大的应用范围之中.