Abstract:To revise the judgment matrix without ordinal consistency, the concepts of non-transtive route number and nontransitive
route contribution are defined. The method to judge the ordianl consistency of a fuzzy judgment matrix using
non-transitive route matrix is proposed, and the way to find the most unresonable element in the fuzzy judgment matrix
based on non-transitive route number is proposed, which integrates the judging process and the revising process. Finally, an
example of building the non-financial evaluation system for listed companies in Chinese small and medium-sized entreprises
board is used to illustrate the method.