Ir al contenido

Documat


Additive pairwise comparisons matrices

  • J. Benítez [1] Árbol académico ; C. Serra-Jiménez [1]
    1. [1] Universidad Politécnica de Valencia

      Universidad Politécnica de Valencia

      Valencia, España

  • Localización: Top, ISSN-e 1863-8279, ISSN 1134-5764, Vol. 34, Nº. 2, 2026, págs. 123-132
  • Idioma: inglés
  • DOI: 10.1007/s11750-025-00708-z
  • Enlaces
  • Resumen
    • In this paper, the inconsistency index provided by Barzilai [J. Barzilai, J, Consistency Measures for Pairwise Comparison Matrices, Journal of MultiCriteria Decisision Analysis, 7: 123–132, 1998] is revisited. Simpler proofs and expressions giving more insight of the inconsistency index are provided. A new procedure to decrease the inconsistency with the feedback for experts are also provided.

  • Referencias bibliográficas
    • Barzilai J (1998) Consistency Measures for Pairwise Comparison Matrices. Journal of MultiCriteria Decisision Analysis 7:123–132
    • Benítez J, Izquierdo J, Pérez-García R, Ramos-Martínez E (2014) A simple formula to find the closest consistent matrix to a reciprocal matrix....
    • Benítez J, Izquierdo J, Pérez-García R, Ramos-Martínez E (2014) A simple formula to find the closest consistent matrix to a reciprocal matrix....
    • Benítez J, Carpitella S, Certa A, Izquierdo J (2018) Characterization of the consistent completion of analytic hierarchy process çcomparison...
    • Brunelli M, Fedrizzi M (2015) Axiomatic properties of inconsistency indices for pairwise comparisons. Journal of the Operational Research...
    • Brunelli M (2017) Studying a set of properties of inconsistency indices for pairwise comparisons. Ann Oper Res 248:143–161
    • Choo EU, Wedley WC, Wijnmalen DJD (2016) Mathematical Support for the Geometric Mean when Deriving a Consistent Matrix from a Pairwise Ratio...
    • Koczkodaj WW, Orlwoski M (1997) An Orthogonal Basis for Computing a Consistent Approximation to a Pairwise Comparisons Matrix. Computers &...
    • Koczkodaj WW, Urban R (2018) Axiomatization of inconsistency indicators for pairwise comparisons. Int J Approximate Reasoning 94:18–19
    • Koczkodaj WW, Smarzewski R, Szybowski J (2020) On Orthogonal Projections on the Space of Consistent Pairwise Comparisons Matrices. Fund Inform...
    • Koczkodaj WW, Szwarc R (2014) On Axiomatization of Inconsistency Indicators for Pairwise Comparisons. Fund Inform 132(4):485–500
    • Koczkodaj WW, Szybowski J (2016) The limit of inconsistency reduction in pairwise comparisons. Int J Appl Math Comput Sci 23(3):721–729
    • Kulakowski K (2021) Understanding the Analytic Hierarchy Process. CRC Press
    • Meyer CD (2000) Matrix Analysis and Applied Linear Algebra, SIAM
    • Saaty TL (1977) A Scaling Method for Priorities in Hierarchical Structure. J Math Psychol 15(3):234–281
    • Saaty T (2008) Relative measurement and its generalization in decision making: Why pairwise comparisons are central in mathematics for the...
    • Yuen K (2010) Analytic hierarchy prioritization process in the AHP application development: A prioritization operator selection approach....
    • Yuen K (2012) Pairwise opposite matrix and its cognitive prioritization operators: comparisons with pairwise reciprocal matrix and analytic...
    • Yuen K (2014) The Primitive Cognitive Network Process in healthcare and medical decision making: comparisons with the Analytic Hierarchy Process....
    • Yuen K (2014) The Least Penalty Optimization Prioritization Operators for the Analytic Hierarchy Process: A Revised Case of Medical Decision...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno