模糊互补判断矩阵一致性检验和改进方法研究

Research on consistency test and modification approach of fuzzy judgement matrix

针对模糊互补判断矩阵的一致性修正问题,指出了模糊互补判断矩阵一致性修正方法的不足.从模糊一致矩阵传统定义出发,讨论了检验模糊判断矩阵是否满足完全一致性的方法,推导出模糊一致性指标,并给出了模糊判断矩阵一致性改进的方法.从理论上分析了该算法的可行性.这种算法不仅简便实用,而且为专家对原始判断信息进行针对性修正提供了参考依据.

Focusing on the problem with the fuzzy complementary judgement matrices consistency , the shortcomings of a method of improving consistency for fuzzy complementary judgement matrices are pointed out. The paper discusses the method of testing the complete consistency of the fuzzy complementary judgement matrices. On the basis of some theories, an algorithm is proposed to improve the fuzzy complementary judgement matrices consistency. Then the paper analyzes the feasibility of the algorithm theoretically. The algorithm is not only simple and effective, but also can provide a new idea for the research on attributes sorting or some references for experts to modify the original judgement matrix.