Is it reasonable for saaty's consistency test in the pairwise comparison method?

Proceedings - ISECS International Colloquium on Computing, Communication, Control, and Management, CCCM 2008

Volumn 3, Issue , 2008, Pages 294-298

  Xu, Wei Jun ^a   Dong, Yu Cheng ^b   Xiao, Wei Lin ^a  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b XI'AN JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONSISTENCY RATIOS; CONSISTENCY TESTS; CRITICAL VALUES; DECISION MAKERS; MATRIX SIZES; PAIR-WISE COMPARISONS; SIMULATION ANALYSIS;

EID: 55349123288     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CCCM.2008.136     Document Type: Conference Paper

References (24)

1. L.L. Thurstone, "A law of comparative judgements", Psychological Review, Vol 34, pp. 273-286, 1927.
2. T.L. Saaty, The Analytic Hierarchy Process, McGraw-Hill, New York, 1980.
3. E.F. Lane, and W.A. Verdini, "A consistency test for AHP decision makers", Decision Science Vol 20, pp. 575-590, 1989.
4. S. Karpetrovic, and E.S. Rosenbloom, "A quality control approach to consistency paradoxes in AHP", European Journal of Operational Research, Vol 119, pp. 704-718, 1999.
5. E.G. Mirkin, Group Choice, Wiley: New York, 1979.
6. M. Kwiesielewicz, and E.V. Uden, "Inconsistency and contradictory judgements in pairwise comparison method in the AHP", Computers & Operations Research, Vol 31, pp. 713-719, 2004.
7. J.S. Finan, and W.J. Hurley, "Transitive calibration of the AHP verbal scale", European Journal of Operational Research, Vol 112, pp. 367-372, 1999.
8. J.I. Peláezo, and M.T. Lamata, "A new measure method of consistency for positive reciprocal matrices", Computers and Mathematics with Applications, Vol 46, pp. 1839-1845, 2003.
9. B.L. Golden, and Q. Wang, "An alternative measure of consistency", in B.L. Golden, E.A. Wasil and P.T. Marker (eds.), Analytic Hierarchy Process: Applications and Studies, New York: Springer-Verlag, pp. 68-81, 1990.
10. J.Q. Chen, and Z.L. Wang, "A statistical analysis of the consistency of comparison matrix in AIIP", Chinese Journal of Systems Engineering, Vol 13, pp. 100-103, 1998. (In Chinese)
11. B. Apostolou, and J.M. Hassell, "An empirical examination of the sensitivity of the analytic hierarchy process to departures from recommended consistency ratios", Mathematical and Computer Modelling, Vol 17, pp. 163-170, 1993.
12. B. Apostolou, and J.M. Hassell, "Note on consistency ratio: a reply", Mathematical and Computer Modelling, Vol 35, pp. 1081-1083, 2002.
13. P. Chu, and J.K.H. Liu, "Note on consistency Ratio", Mathematical and Computer Modelling, Vol 35, pp. 1077-1080, 2002.
14. P.D. Jong, "A statistical approach to Saaty's scaling method for priorities", Journal of Mathematical Psychology, Vol 28, pp. 467-478, 1984.
15. W.W. Koczkodaj, "A new definition of consistency of pairwise comparisons". Mathematical and Computer Modelling, Vol 18, No. 7, pp. 79-84, 1993.
16. H. Monsuur, "An intrinsic consistency threshold for reciprocal matrices", European Journal of Operational Research, Vol 96, pp. 387-391, 1996.
17. S.I. Gass, "Tournaments, transitivity and pairwise comparison matrices". Journal of the Operational Research Society, Vol 49, No. 6, pp. 616-624, 1998.
18. Y.C. Dong, Y.F. Xu, H.Y. Li, "On consistency measures of linguistic preference relations", European Journal of Operational Research, Vol 189, No. 2, pp. 430-444, 2008.
19. Y.C. Dong, Y.F. Xu, "Consistency measures of linguistic preference relations and its properties in group decision making". Lecture Notes in Computer Science, Germany: Springer-Verlag, Vol 4223, pp. 501-511, 2006.
20. Y.C. Dong, H.Y. Li, Y.F. Xu, "On reciprocity indices in the aggregation of fuzzy preference relations using the OWA operator", Fuzzy Sets and Systems, Vol 159, No. 2, pp. 185-192, 2008.
21. Y.C. Dong, Y.F. Xu, L.L. Ding, "On consistency of the weighted arithmetical mean complex judgement matrix", System Engineering and Electronics, Vol 18, No. 3, pp. 515-519, 2007.
22. W.J. Xu, Y.C. Dong, W.L. Xiao, J.H. Xu, "A nonlinear program model to obtain consensus priority vector in the analytic hierarchy process", IEEE Congress on Evolutionary Computation, Hong Kong, June 1-6, 2008.
23. Y.C. Dong, Y.F. Xu, H.Y. Li, M. Dai, "A comparative study of the numerical scales and the prioritization methods in AHP", European Journal of Operational Research, Vol 186, No. 1, pp. 229-242, 2008.
24. W.J. Xu, Y.C. Dong, M.L. Hu, "The properties of priority preservation for different prioritization methods", The 4th IEEE International Conference on Fuzzy Systems and Knowledge Discovery, Vol 2, pp. 55-59, 2007.