基于广义一致性变换的相异标度法构造的判断矩阵的排序

On Ranking of Judgement Matrix Structured by Different Scales based on Generalized Consistency Transformtion

针对不同标度构造的判断矩阵的一致性检验以及排序问题,给出了判断矩阵广义一致性变换的定义,并论证了判断矩阵经广义一致性变换后所具有的性质通过对比分析指出研究结论具有更广的应用范围,深化了对参数β的理解,给出了参数β取值范围的一个合理区间.进而归纳出由不同标度法构造的判断矩阵的具体的广义一致性变换及其排序方法.

Aiming at the consistency testing and ranking problems of Judgement matrix s structured by different scales,this paper defines the generalized consistency transformation of Judgement matrix,and demonstrates properties of fuzzy complementary matrix after the generalized consistency transformation.By contrasting with related literatures,the result of the paper has a wider scope of application.It also intensifies the understanding of parameterβ.And the interval of parameter values is located reasonably in this paper.Finally,this paper gives a conclusion about different specific generalized consistency transformations and ranking methods of Judgement matrixs structured by different scales.