On qualitatively consistent, transitive and contradictory judgment matrices emerging from multiattribute decision procedures

Gerzson Kéri ()

Central European Journal of Operations Research, 2011, vol. 19, issue 2, 215-224

Abstract: Several known and newly introduced classes of positive reciprocal matrices emerging from pairwise comparisons in multiattribute decision problems are studied in the paper. Mainly qualitative features in connection with consistency and inconsistency are considered in order to extend the range of the available analytical methods regarding pairwise comparisons. By using graph representation of positive reciprocal matrices, graph theoretic approach is applied for the argumentation. The applied notions and the theorems developed in the paper can be useful for eliminating the illogical data that may occur during pairwise comparisons. Copyright Springer-Verlag 2011

Keywords: Analytic hierarchy process; Pairwise comparisons; Positive reciprocal matrices; Consistency; Transitivity; 91B06; 90B50 (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10100-010-0138-7

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