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

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  • Gerzson Kéri

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

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  • Gerzson Kéri, 2011. "On qualitatively consistent, transitive and contradictory judgment matrices emerging from multiattribute decision procedures," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 19(2), pages 215-224, June.
    • Handle: RePEc:spr:cejnor:v:19:y:2011:i:2:p:215-224
    DOI: 10.1007/s10100-010-0138-7
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    References listed on IDEAS

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