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Comparing inconsistency of pairwise comparison matrices depending on entries

Author

Listed:
  • Bice Cavallo
  • Alessio Ishizaka
  • Maria Grazia Olivieri
  • Massimo Squillante

Abstract

Pairwise comparisons have been a long-standing technique for comparing alternatives/criteria and their role has been pivotal in the development of modern decision-making methods. Since several types of pairwise comparison matrices (e.g., multiplicative, additive, fuzzy) are proposed in literature, in this paper, we investigate, for which type of matrix, decision-makers are more coherent when they express their subjective preferences. By performing an experiment, we found that the additive approach provides the worst level of coherence.

Suggested Citation

  • Bice Cavallo & Alessio Ishizaka & Maria Grazia Olivieri & Massimo Squillante, 2019. "Comparing inconsistency of pairwise comparison matrices depending on entries," Journal of the Operational Research Society, Taylor & Francis Journals, vol. 70(5), pages 842-850, May.
    • Handle: RePEc:taf:tjorxx:v:70:y:2019:i:5:p:842-850
    DOI: 10.1080/01605682.2018.1464427
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    Citations

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    Cited by:

    1. Bice Cavallo, 2019. "Coherent weights for pairwise comparison matrices and a mixed-integer linear programming problem," Journal of Global Optimization, Springer, vol. 75(1), pages 143-161, September.
    2. Bice Cavallo & Alessio Ishizaka, 2023. "Evaluating scales for pairwise comparisons," Annals of Operations Research, Springer, vol. 325(2), pages 951-965, June.
    3. Hiroyuki Goto & Shaohua Wang, 2022. "Polyad inconsistency measure for pairwise comparisons matrices: max-plus algebraic approach," Operational Research, Springer, vol. 22(1), pages 401-422, March.
    4. Bice Cavallo & Livia D’Apuzzo, 2020. "Relations between coherence conditions and row orders in pairwise comparison matrices," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(2), pages 637-656, December.
    5. Vladimír Bureš & Jiří Cabal & Pavel Čech & Karel Mls & Daniela Ponce, 2020. "The Influence of Criteria Selection Method on Consistency of Pairwise Comparison," Mathematics, MDPI, vol. 8(12), pages 1-13, December.

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