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An examination of performance relations among selected consistency measures for simulated pairwise judgments

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  • Paul Thaddeus Kazibudzki

    (Universite Internationale de Douala)

Abstract

A review of contemporary literature devoted to decision making support systems draws attention to the Analytic Hierarchy Process (AHP). At the core of the AHP are various prioritization procedures which elicit priorities for alternative solutions for complex decisional problems. Certainly, the procedures coincide when decision makers’ preferences of alternative solutions are cardinally transitive, otherwise the results differ. This is why consistency measurement of human judgments is so important. It has been scientifically proven that a high inconsistency of decision makers’ preferences concerning alternative solutions of decisional problems may lead to fallacious choices. Research verifies the thesis that consistency measures derived from different prioritization procedures are interrelated. It turns out that one of the independent consistency measures is extremely closely related to the consistency index embedded in original approach of the AHP. The main objective of this study is realized through the novel and sophisticated simulation algorithm designed for the AHP and executed within its exemplary decisional framework for three levels. The outcome of the research proves that consistency can be measured in various ways, but recently devised concepts can indicate better solutions as a result of significantly improved methodology.

Suggested Citation

  • Paul Thaddeus Kazibudzki, 2016. "An examination of performance relations among selected consistency measures for simulated pairwise judgments," Annals of Operations Research, Springer, vol. 244(2), pages 525-544, September.
    • Handle: RePEc:spr:annopr:v:244:y:2016:i:2:d:10.1007_s10479-016-2131-6
    DOI: 10.1007/s10479-016-2131-6
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    References listed on IDEAS

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    1. Dong, Yucheng & Xu, Yinfeng & Li, Hongyi & Dai, Min, 2008. "A comparative study of the numerical scales and the prioritization methods in AHP," European Journal of Operational Research, Elsevier, vol. 186(1), pages 229-242, April.
    2. 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.
    3. Matteo Brunelli & Luisa Canal & Michele Fedrizzi, 2013. "Inconsistency indices for pairwise comparison matrices: a numerical study," Annals of Operations Research, Springer, vol. 211(1), pages 493-509, December.
    4. Lin, Chang-Chun, 2007. "A revised framework for deriving preference values from pairwise comparison matrices," European Journal of Operational Research, Elsevier, vol. 176(2), pages 1145-1150, January.
    5. Changsheng Lin & Gang Kou & Daji Ergu, 2013. "An improved statistical approach for consistency test in AHP," Annals of Operations Research, Springer, vol. 211(1), pages 289-299, December.
    6. Hovanov, Nikolai V. & Kolari, James W. & Sokolov, Mikhail V., 2008. "Deriving weights from general pairwise comparison matrices," Mathematical Social Sciences, Elsevier, vol. 55(2), pages 205-220, March.
    7. Aguaron, Juan & Moreno-Jimenez, Jose Maria, 2003. "The geometric consistency index: Approximated thresholds," European Journal of Operational Research, Elsevier, vol. 147(1), pages 137-145, May.
    8. Kun Chen & Gang Kou & J. Michael Tarn & Yan Song, 2015. "Bridging the gap between missing and inconsistent values in eliciting preference from pairwise comparison matrices," Annals of Operations Research, Springer, vol. 235(1), pages 155-175, December.
    9. Saaty, Thomas L., 1990. "How to make a decision: The analytic hierarchy process," European Journal of Operational Research, Elsevier, vol. 48(1), pages 9-26, September.
    10. Bana e Costa, Carlos A. & Vansnick, Jean-Claude, 2008. "A critical analysis of the eigenvalue method used to derive priorities in AHP," European Journal of Operational Research, Elsevier, vol. 187(3), pages 1422-1428, June.
    11. Valdecy Pereira & Helder Costa, 2015. "Nonlinear programming applied to the reduction of inconsistency in the AHP method," Annals of Operations Research, Springer, vol. 229(1), pages 635-655, June.
    12. Yoram Wind & Thomas L. Saaty, 1980. "Marketing Applications of the Analytic Hierarchy Process," Management Science, INFORMS, vol. 26(7), pages 641-658, July.
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    Cited by:

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    3. Sangeeta Pant & Anuj Kumar & Mangey Ram & Yury Klochkov & Hitesh Kumar Sharma, 2022. "Consistency Indices in Analytic Hierarchy Process: A Review," Mathematics, MDPI, vol. 10(8), pages 1-15, April.

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