Journal of Korean Institute of Industrial Engineers (대한산업공학회지)

Korean Institute of Industrial Engineers (대한산업공학회)
권호 표지

New Criteria for the Consistency in Reasonable Pairwise Comparison Matrices

합리적 쌍대비교행렬에서 일관성에 대한 새로운 기준

  • Kim, Jae-Bum (Department of Systems Management Engineering, Sungkyunkwan University) ;
  • Cho, Yong-Gon (Korea Evaluation Institute of Industrial Technology) ;
  • Kim, Yun-Bae (Department of Systems Management Engineering, Sungkyunkwan University) ;
  • Cho, Keun-Tae (Department of Systems Management Engineering, Sungkyunkwan University)
  • 김재범 (성균관대학교 시스템경영공학과) ;
  • 조용곤 (한국산업기술평가관리원) ;
  • 김윤배 (성균관대학교 시스템경영공학과) ;
  • 조근태 (성균관대학교 시스템경영공학과)
  • Received : 2009.08.15
  • Accepted : 2010.01.18
  • Published : 2010.03.01
Download PDF
⟨ Previous Next ⟩

Abstract

The Analytic Hierarchy Process (AHP) has been applied widely in various decision making fields. One of advantages of the AHP is the consistency test. However, it has several problems such as the limit of its concept, the limit of 9 scales and stern criteria, contradictory pairwise comparison. In this paper, we propose new criteria for the consistency with more realistic and ideal conditions. To derive the criteria, we conduct the simulation and use the bootstrap method, which is one of resampling techniques in the simulation area.

Keywords

References

  1. Aguaron, J., Escobar, M. T., and Moreno-Jimenez, J. M. (2003a), Consistency stability intervals for a judgment in AHP decision support systems, European Journal of Operational Research, 145(2), 382-393. https://doi.org/10.1016/S0377-2217(02)00544-1
  2. Aguaron, J. and Moreno-Jimenez, J. M. (2003b), The geometric consistency index : Approximated thresholds, European Journal of Operational Research, 147(1), 137-145. https://doi.org/10.1016/S0377-2217(02)00255-2
  3. Carmone, F. J., Ali Karab., S., and Zanakis, H. (1999), A Monte Carlo investigation of incomplete pairwise comparison matrices in AHP, European Journal of Operational Research, 102(3), 538-553.
  4. Efron, B. and Tibshirani, R. J. (1993), An introduction to the bootstrap, Chapman and Hall/CRC, New York.
  5. Finan, J. S. and Hurley, W. J. (1999), Transitive calibration of the AHP verbal scale, European Journal of Operational Research, 112(2), 367-372. https://doi.org/10.1016/S0377-2217(97)00411-6
  6. Karapetrovic, S. and Rosenbloom, E. S. (1999), A quality control approach to consistency paradoxes in AHP, European Journal of Operational Research, 119(3), 704-718. https://doi.org/10.1016/S0377-2217(98)00334-8
  7. Ko, K. and Lee, K. (2001), Statistical characteristics of response consistency parameters in the AHP, KORMS, 26(4), 71-82.
  8. Kwiesielewicz, M. and Ewa van Uden (2002), Inconsistent and contradictory judgments in pairwise comparison method in the AHP, Computers and Operations Research, 31(5), 713-719.
  9. Laininen, P. and Hamalainen, R. P. (2003), Analyzing AHP-matrices by regression, European Journal of Operational Research, 148(3), 514-524. https://doi.org/10.1016/S0377-2217(02)00430-7
  10. Lekinen, P. J. (2000), Measurement scales and scale Independence in the Analytic Hierarchy Process, Multi-Criteria Decision Analysis, 9(4), 163-174. https://doi.org/10.1002/1099-1360(200007)9:4<163::AID-MCDA274>3.0.CO;2-L
  11. Morrice, D. J. and Mullarkey, P. W. (1998), An approach to ranking and selections for multiple performance measures, Proceedings of the 1998 Winter Simulation Conference, 719-726.
  12. Pelaez, J. I. and Lamata, M. T. (2003), A new measure of consistency for positive reciprocal matrices, Computer and Mathematics with Applications, 46, 1839-1845. https://doi.org/10.1016/S0898-1221(03)90240-9
  13. Saaty, T. L. (1980), The Analytic Hierarchy Process, McGraw-Hill.