Determining satisfying consistency of interval comparison matrix and ranking of alternatives
Tianmin Huang · Kongzhi yu juece · 2013
The problem of the satisfying consistency of interval comparison matrix and the ranking of alternatives are studied.Firstly,a new definition of the satisfying consistency of the interval comparison matrix is proposed.Then,whether an interval comparison matrix has satisfying consistency is judged according to whether its 0-1 central value permutation matrix is a standard 0-1 permutation matrix.If the interval comparison matrix has satisfying consistency,the ranking of alternatives are obtained directly from the 0-1 central value permutation matrix,and thereby the satisfying consistency of an interval comparison matrix with non-strict pairwise comparison information is judged.Finally,two examples are given to demonstrate the rationality and the feasibility of the proposed method.