语言判断矩阵的一致性调整

Adjustment of Consistency of Linguistic Judgment Matrices

针对语言判断矩阵一致性检验问题,提出了语言判断矩阵的互补型导出矩阵,通过符号转化将语言判断矩阵转化为模糊互补判断矩阵,从而能够简便地判断语言判断矩阵的一致性.然后,在语言判断矩阵乘性一致性的基础上,给出了语言判断矩阵的一致性调整方法.最后,通过实例证明了该方法的可行性和合理性.

The consistency of linguistic judgment matrices has been studied. Firstly, the complementary educed matrix of the linguistic judgment matrix is introduced,by which the linguistic judgment matrix can be transformed into fuzzy complementary judgment matrix and the consistency of the linguistic judgment matrix can be easily tested. Secondly,a method for repairing the inconsistency of the linguistic judgment matrix is developed based on the multiplieative consistency. Finally,an example is given to illustrate the feasibility and rationality of the proposed method.