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Characteristics of positive reciprocal matrices in the analytic hierarchy process

  • Technical Note
  • Published:
Journal of the Operational Research Society

Abstract

Positive reciprocal matrices (PRMs) are the basic elements used by the Analytic Hierarchy Process (AHP) for resolving an important class of multi-criteria decision problems. A PRM, A=(a ij ), is square with all a ij >0 and a ji =1/a ij . We discuss characteristics of such matrices based on an analysis of both real-world and randomly generated sets.

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Authors and Affiliations

  1. Robert H. Smith School of Business, University of Maryland, USA

    S I Gass

  2. Department of Mathematics, University of Maryland, USA

    S M Standard

Authors
  1. S I Gass
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  2. S M Standard
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Correspondence to S I Gass.

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Gass, S., Standard, S. Characteristics of positive reciprocal matrices in the analytic hierarchy process. J Oper Res Soc 53, 1385–1389 (2002). https://doi.org/10.1057/palgrave.jors.2601471

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  • DOI: https://doi.org/10.1057/palgrave.jors.2601471

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