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Pairwise comparisons simplified

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  • Koczkodaj, W.W.
  • Szybowski, J.

Abstract

This study examines the notion of generators of a pairwise comparisons matrix. Such approach decreases the number of pairwise comparisons from n·(n-1) to n-1. An algorithm of reconstructing of the PC matrix from its set of generators is presented.

Suggested Citation

  • Koczkodaj, W.W. & Szybowski, J., 2015. "Pairwise comparisons simplified," Applied Mathematics and Computation, Elsevier, vol. 253(C), pages 387-394.
    • Handle: RePEc:eee:apmaco:v:253:y:2015:i:c:p:387-394
    DOI: 10.1016/j.amc.2014.12.069
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    References listed on IDEAS

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    1. 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.
    2. K K F Yuen, 2012. "Pairwise opposite matrix and its cognitive prioritization operators: comparisons with pairwise reciprocal matrix and analytic prioritization operators," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 63(3), pages 322-338, March.
    3. József Temesi, 2011. "Pairwise comparison matrices and the error-free property of the decision maker," 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 239-249, June.
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    Citations

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    Cited by:

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    2. Jacek Szybowski & Konrad Kułakowski & Sebastian Ernst, 2024. "Almost optimal manipulation of pairwise comparisons of alternatives," Journal of Global Optimization, Springer, vol. 90(1), pages 243-259, September.
    3. Juan Aguarón & María Teresa Escobar & José María Moreno-Jiménez & Alberto Turón, 2020. "The Triads Geometric Consistency Index in AHP-Pairwise Comparison Matrices," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    4. Benítez, Julio & Koczkodaj, Waldemar W. & Kowalczyk, Adam, 2024. "Computationally efficient orthogonalization for pairwise comparisons method," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    5. Szybowski, Jacek & Kułakowski, Konrad & Prusak, Anna, 2020. "New inconsistency indicators for incomplete pairwise comparisons matrices," Mathematical Social Sciences, Elsevier, vol. 108(C), pages 138-145.
    6. Hassan, Shamsu & Wang, Jin & Kontovas, Christos & Bashir, Musa, 2022. "An assessment of causes and failure likelihood of cross-country pipelines under uncertainty using bayesian networks," Reliability Engineering and System Safety, Elsevier, vol. 218(PA).
    7. Hristos Karahalios, 2017. "Evaluating the knowledge of experts in the maritime regulatory field," Maritime Policy & Management, Taylor & Francis Journals, vol. 44(4), pages 426-441, May.

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