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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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    3. 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.
    4. 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.
    5. Benítez, Julio & Koczkodaj, Waldemar W. & Kowalczyk, Adam, 2024. "Computationally efficient orthogonalization for pairwise comparisons method," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    6. 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.
    7. 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).

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