Acceptable consistency analysis of interval complement comparison matrices
Cuiping Wei · Kongzhi yu juece · 2011
This paper presents an new definition of acceptably consistent interval complement comparison matrix.An interval complement comparison matrix with unacceptable consistency can be easily adjusted such that the revised matrix possesses acceptable consistency.By utilizing a convex combination method,a family of crisp complement comparison matrices with acceptable consistency can be obtained,whose weights are aggregated to obtain interval weights from an acceptably consistent interval complement comparison matrix.Based on the possibility degree formula,the ranking of interval weights can be derived.An algorithm for generating the weights from acceptably consistent interval complement comparison matrices is proposed.Illustrated examples are presented to show the feasibility and effectiveness of the definition and algorithm.