On Axiomatization of Inconsistency Indicators for Pairwise Comparisons

• Autorzy: Koczkodaj, W. W. , Szwarc, R.
• Języki publikacji: EN

Abstrakty

EN

This study examines the notion of inconsistency in pairwise comparisons for providing an axiomatization for it. It also proposes two inconsistency indicators for pairwise comparisons. The primary motivation for the inconsistency reduction is expressed by a computer industry concept “garbage in, garbage out”. The quality of the output depends on the quality of the input.

Słowa kluczowe

EN

pairwise comparisons; inconsistency axiomatization

• Czasopismo: Fundamenta Informaticae
• Rocznik: 2014
• Tom: Vol. 132, nr 4
• Strony: 485--500
• Opis fizyczny: Bibliogr. 22 poz., rys., tab., wykr.

Twórcy

autor

Koczkodaj, W. W.

• Computer Science, Laurentian University Sudbury, Ontario P3E 2C6, Canada,

autor

Szwarc, R.

• Institute of Mathematics, University of Wroclaw, Wroclaw, Poland,

Bibliografia

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• [3] Brunelli, M., Canal, L., Fedrizzi, M., Inconsistency indices for pairwise comparison matrices: a numerical study, Annals of Operations Research (to appear), 2013.
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• [6] Fulop, J., Koczkodaj, W. W., Szarek, S. J., A Different Perspective on a Scale for Pairwise Comparisons, Transactions on Computational Collective Intelligence in Lecture Notes in Computer Science, 6220, 71-84, 2010.
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• [8] Grzybowski, A. Z, Note on a new optimization based approach for estimating priority weights and related consistency index, Expert Systems with Applications, 39(14): 11699-11708, 2012.
• [9] Herman, M., Koczkodaj, W. W., Monte Carlo Study of Pairwise Comparisons, Information Processing Letters, 57(1), pp. 25-29, 1996.
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• [13] Koczkodaj, W. W., A New Definition of Consistency of Pairwise Comparisons. Mathematical and Computer Modelling, 18(7), 79-84, 1993.
• [14] Koczkodaj, W. W., Testing the Accuracy Enhancement of Pairwise Comparisons by a Monte Carlo Experiment, Journal of Statistical Planning and Inference, 69(1), pp. 21-32, 1998.
• [15] Koczkodaj, W. W., Szarek, S. J., On distance-based inconsistency reduction algorithms for pairwise comparisons, Logic J. of the IGPL, 18(6): 859-869, 2010.
• [16] Kułakowski, K., A heuristic rating estimation algorithm for the pairwise comparisons method, Central European Journal of Operations Research, Springer-Verlag, (the online version accessed 2013-09-21).
• [17] Saaty, T. L., A Scaling Method for Priorities in Hierarchical Structure. Journal of Mathematical Psychology,15(3): 234-281, 1977.
• [18] Slater, P., Inconsistencies in a Schedule of Paired Comparisons Biometrika, 48(3/4): 303-312, 1961.
• [19] Temesi, J., Pairwise comparison matrices and the error-free property of the decision maker, Central European Journal of Operations Research, 19(2): 239-249, 2011.
• [20] Thurstone, L. L., A Law of Comparative Judgments, Psychological Reviews, Vol. 34, 273-286, 1927.
• [21] Xu, W. J , Dong, Y. C, Xiao, W. L, Is It Reasonable for Saaty’s Consistency Test in the Pairwise Comparison Method? in Proceedings of 2008 ISECS International Colloquium on Computing, Communication, Control, and Management, 3: 294-298, 2008.
• [22] Yuen, K. K. F., Pairwise opposite matrix and its cognitive prioritization operators: comparisons with pairwise reciprocal matrix and analytic prioritization operators, Journal of the Operational Research Society, 63(3):322-338, 2012.

Identyfikatory

DOI

10.3233/FI-2014-1055