Mathematical properties of dominant AHP and concurrent convergence method

Journal of the Operations Research Society of Japan

Volumn 45, Issue 2, 2002, Pages 198-213

  Kinoshita, Eizo ^a   Sekitani, Kazuyuki ^b   Shi, Jianming ^c  

^a MEIJO UNIVERSITY   (Japan)

^b SHIZUOKA UNIVERSITY   (Japan)

^c TOKYO UNIVERSITY OF SCIENCE   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4344676660     PISSN: 04534514     EISSN: None     Source Type: Journal    
DOI: 10.15807/jorsj.45.198     Document Type: Article

References (16)

1. A. Arbel and L.G. Vargas: The Analytic Hierarchy Process with judgments. In A. Goicoechea, L. Duckstein and S. Zionts (eds.): Multiple Criteria Decision Making, Springer-Verlag, 1992, 61-70.
2. E. Kinoshita and M. Nakanishi: Proposal of new AHP model in light of dominative relationship among alternatives. Journal of the Operations Research Society of Japan, 42 (1999) 180-198.
3. E. Kinoshita and M. Nakanishi: A proposal of CSA as a new application method to a network type evaluation (in Japanese). Journal of Infrastructure Planning and Management IV, 54 (2002) 3-15.
4. M. Nakanishi and E. Kinoshita: An application of the group decision making stress method to the group analytic hierarchy process (in Japanese). Journal of the Operations Research Society of Japan, 41 (1998) 560-570.
5. R.T. Rockafellar and R.J-B. Wets, Variational Analysis (Springer, Berlin, 1998).
6. T.L. Saaty: Analytic Hierarchy Process (McGraw-Hill, New York, 1980).
7. T.L. Saaty: Rank generation, preservation, and reversal in the analytic hierarchy process. Decision Sciences, 18 (1987) 157-177.
8. T.L. Saaty: The Analytic Network Process (RWS Publications, Pittsburgh, 1996).
9. T.L. Saaty and M. Takizawa: Dependence and independence: from linear hierarchies to nonlinear networks. European Journal of Operational Research, 20 (1986) 229-237.
10. S. Schenkerman: Avoiding rank reversal in AHP decision support models. European Journal of Operational Research, 74 (1994) 407-419.
11. K. Sekitani: Prioritization model for decision making units in data envelopment analysis from uncertain cross-evaluation values by the eigenvalue method. ISM Reports on Statistical Computing, 135 (2000) 20-41.
12. K. Sekitani and I. Takahashi: A unified model and analysis for AHP and ANP. Journal of the Operations Research Society of Japan, 44 (2001) 67-89.
13. K. Sekitani and N. Yamaki: A logical interpretation for the eigenvalue method in AHP. Journal of the Operations Research Society of Japan, 42 (1999) 219-232.
14. th Symposium of the Operations Research Society of Japan, (1998) 5-8.
15. I. Takahashi: Recent theoretical developments of AHP and ANP in Japan. Proceedings of the Fifth Conference of IS AHP (1999), 46-56.
16. Y. Yamada, M. Sugiyama and N. Yamaki: Group analytic hierarchy process based on consensus making model (in Japanese). Journal of the Operations Research Society of Japan, 40 (1997) 236-244.