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Characteristics of positive reciprocal matrices in the analytic hierarchy process

Author

Listed:
  • S I Gass

    (Robert H. Smith School of Business, University of Maryland)

  • S M Standard

    (University of Maryland)

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.

Suggested Citation

  • S I Gass & S M Standard, 2002. "Characteristics of positive reciprocal matrices in the analytic hierarchy process," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 53(12), pages 1385-1389, December.
    • Handle: RePEc:pal:jorsoc:v:53:y:2002:i:12:d:10.1057_palgrave.jors.2601471
    DOI: 10.1057/palgrave.jors.2601471
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    Citations

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    Cited by:

    1. Sándor Bozóki & Linda Dezső & Attila Poesz & József Temesi, 2013. "Analysis of pairwise comparison matrices: an empirical research," Annals of Operations Research, Springer, vol. 211(1), pages 511-528, December.
    2. Emre Çalişkan & Erdem Aksakal & Saliha Çetinyokuş & Tahsin Çetinyokuş, 2019. "Hybrid Use of Likert Scale-Based AHP and PROMETHEE Methods for Hazard Analysis and Consequence Modeling (HACM) Software Selection," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 18(05), pages 1689-1715, September.
    3. Sándor Bozóki & János Fülöp & Attila Poesz, 2011. "On pairwise comparison matrices that can be made consistent by the modification of a few elements," 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 157-175, June.
    4. 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.

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