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

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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.

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Correspondence to Gerzson Kéri.

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The research was supported in part by OTKA grants K 60480, K 77420.

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Kéri, G. On qualitatively consistent, transitive and contradictory judgment matrices emerging from multiattribute decision procedures. Cent Eur J Oper Res 19, 215–224 (2011). https://doi.org/10.1007/s10100-010-0138-7

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