Towards fifty years of the analytic hierarchy process

50th Annual Conference of the Operational Research Society 2008, OR50

Volumn , Issue , 2008, Pages 101-115

  Ishizaka, Alessio ^a   Labib, Ashraf ^a  

^a UNIVERSITY OF PORTSMOUTH   (United Kingdom)

Author keywords

Ahp; Decision analysis; Review

Indexed keywords

AHP; CONSISTENCY INDEX; PAIR-WISE COMPARISON; PROBLEM MODELLING;

REVIEWS;

DECISION THEORY;

EID: 84887777095     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (106)

1. Ahn BS, Choi SH (2008). ERP system selection using a simulation-based AHP approach: a case of Korean home shopping company. J Opl res Soc 59(3): 322-330.
2. Akarte MM, Surendra NV, Ravi B, Rangaraj N (2001). Web based casting supplier evaluation using analytic hierarchy process. J Opl res Soc 52: 511-522.
3. Aguarón J, Moreno-Jiménez JM (2000). Local stability intervals in the analytic hierarchy process. Eur J Opl Res 125(1):113-132.
4. Aguarón J, Moreno-Jiménez JM (2003). The geometric consistency index: approximated thresholds. Eur J Opl Res 147:137-145.
5. Alonso JA, Lamata T (2006). Consistency in the Analytic Hierarchy Process: a new approach. Int J Uncertainty, Fuz Knowledege-Based Sys 14(4):445-459.
6. Bañuelas R, Antony J (2007). Application of stochastic analytic hierarchy process within a domestic appliance manufacturer. J Opl res Soc 58(1): 29-38.
7. Barzilai J (1997). Deriving weights from pairwise comparisons matrices. J Opl res Soc 48(12):1226-1232.
8. Barzilai J, Lootsma FA (1997). Power relation and group aggregation in the multiplicative AHP and SMART. J Multi-criteria Decis Anal 6:155-165.
9. Barzilai J (2005). Measurement and preference function modelling. Intl Trans in Op Res 12(2):173-183.
10. Belton V, Gear AE (1983). On a shortcoming of Saaty's method of analytic hierarchies. Omega 11(3):227-230.
11. Belton V, Gear AE (1985). The legitimacy of rank reversal-A comment. Omega. 13(3): 143-144.
12. Brugha CM (2004). Structure of multi-criteria decision-making. J Opl res Soc 55(1): 1156-1168.
13. Budescu DV (1984). Scaling binary comparison matrices: A comment on Narasimhan's proposal and other methods. Fuzzy Sets Syst 14:187-192.
14. Budescu DV, Zwick R, Rapoport A (1986) A comparison of the eigenvalue method and the geometric mean procedure for ratio scaling. Appl Psychol Meas 10(1):69-78.
15. Crawford G, Williams C (1985). A Note on the analysis of subjective judgement matrices, J Math Psychol 29:387-405.
16. Cho EU, Wedley WC (2004). A common framework for deriving preference values from pairwise comparison matrices. Comput Opns Res 31(6):893-908.
17. Dodd FJ, Donegan HA (1995). Comparison of priotization techniques using interhierarchy mappings. J Opl res Soc 46(4):492-498.
18. Donegan HA, Dodd FJ, McMaster TBM (1992). A new approach to AHP decision-making. The Statician 41:295-302.
19. Dyer JS (1990a). Remarks on the Analytic Hierarchy Process. Mngt Sci 36(3):249-258.
20. Dyer JS (1990b). A clarification of "Remarks on the Analytic Hierarchy Process". Mngt Sci 36(3):274-275.
21. Escobar MT, Moreno-Jiménez JM (2000). Reciprocal distributions in the analytic hierarchy process. Eur J Opl Res 123(1):154-174.
22. Fechner GT (1860). Elemente der Psychophysik. Breitkopf und Härtel: Leipzig, vol.2. (Reprinted, 1999. Thoemmes Press:Bristol).
23. Fichtner J (1986). On deriving priority vectors from matrices of pairwise comparisons. Socio Econ Plan Sci 20(6):341-345.
24. Forman EH (1990). Random indices for incomplete pairwise comparison matrices. Eur J Opl Res. 48(1):153-155.
25. Forman EH, Gass SI (2001). The Analytic Hierachy Process - An Exposition. Opns Res 49(4): 469-486.
26. Franco A, Shaw D, Westcombe M (2006). Special Issue: Problem Structuring Methods II. J Opl res Soc 58(5).
27. Fukuyama H, Weber WL (2002). Evaluating public school district performance via DEA gain functions. J Opl res Soc 53(9): 992-1003
28. Golany B, Kress M (1993). A multicriteria evaluation of the methods for obtaining weights from ratio-scale matrices. Eur J Opl Res 69:210-202.
29. Golden BL, Wasil EA, Harker PT (1989). The Analytic Hierarchy Process: Applications and Studies, Springer-Verlag:Heidelberg.
30. Harker PT, Vargas LG (1987). The Theory of Ratio Scale Estimation: Saaty's Analytic Hierarchy Process. Mngt Sci 33(11): 1383-1403.
31. Harker PT, Vargas LG (1990). Reply to "Remakrs on the Analytic Hierarchy Process". Mngt Sci 36(3): 269-273.
32. Herman MW, Koczkodaj WW (1996). A Monte Carlo study of pairwise comparison. Inf Process Lett 57(11):25-29.
33. Ho W (2008) Integrated analytic hierarchy process and its applications - A literature review. Eur J Opl Res 186(1): 211-228.
34. Holder RD (1990). Some Comment on the Analytic Hierarchy Process. J Opl res Soc 41(11): 1073-1076.
35. Holder RD (1991). Response to Holder's Comments on the Analytic Hierarchy Process: Response to the Response. J Opl res Soc 42(10):914-918.
36. Hovanov NV, Kolari JW, Sokolov MV (2008). Deriving weights from general pairwise comparisons matrices. Mathl Social Sci 55(2): 205-220.
37. th Mini-Euro Conference MUDSM.
38. Ishizaka A (2004b). Développement d'un Système Tutorial Intelligent pour Dériver des Priorités dans l'AHP. PhD Thesis, University of Basle. http://www.dissertation.de: Berlin. ISBN: 3-89925-827-0.
39. Ishizaka A, Lusti M (2006). How to derive priorities in AHP: a comparative study. Cent Eur J Opns Res 14(4):387-400.
40. Ishizaka A, Balkenborg D, Kaplan T (2006). Influence of Aggregation and Preference Scale on Ranking a Compromise Alternative in AHP, Multidisciplinary Workshop on Advances in Preference Handling, Garda, pp 51-57.
41. Ji P, Jiang R (2003). Scale transitivity in the AHP. J Opl res Soc 54(8):896-905.
42. Johnson CR, Beine WB, Wang TY (1979). Right-left asymmetry in an eigenvector ranking procedure. J Math Psychol 18:61-64.
43. Jones DF, Mardle SJ (2004). A distance-metric methodology for the derivation of weights from a pairwise comparison matrix. J Opl res Soc 55(8):869-875.
44. Kainulainen T, Leskinen P, Korhonen P., Haara A, Hujala T (2007). A statistical approach to assessing interval scale preference in discrete choice problems. J Opl res Soc, advance online publication 19 December 2007; doi: 10.1057/ palgrave.jors.2602554.
45. Karapetrovic S, Rosenbloom ES (1999). A quality control approach to consistency paradoxes in AHP. Eur J Opl Res 119(3): 704-18
46. Kumar S, Vaidya OS (2006). Analytic hierarchy process: An overview of applications. Eur J Opl Res 169(1): 1-29.
47. Kwiesielewicz M, van Uden (2004). Inconsitent and contradictory judgements in pairwise comparison method in AHP. Comput Opns Res 31(5):713-719.
48. Lane EF, Verdini WA (1989). A consistency test for AHP decision makers. Decis Sci 20:575-590.
49. Leskinen P, Kangas J (2005). Rank reversal in multi-criteria decision analysis with statistical modelling of ratio-scale pairwise comparisons. J Opl res Soc 56(7):855-861.
50. Lootsma FA (1993). Scale sensitivity in the multiplicative AHP and SMART. J Multi-criteria Decis Anal 2:87-110.
51. Lootsma FA (1996). A model for the relative importance of the criteria in the Multiplicative AHP and SMART. Eur J Opl Res 94:467-476.
52. Liberatore MJ, Nydick RL (2008). The analytic hierarchy process in medical and health care decision making: A literature review. Eur J Opl Res, 189(1), 194-207
53. Lin CC (2007). A revised framework for deriving preference values from pairwise comparison matrices. Eur J Opl Res, 176(2): 1145-1150.
54. Lootsma FA (1989). Conflict Resolution via Pairwise Comparison of Concessions. Eur J Opl Res. 40(1):109-116.
55. nd Proceeding Int. Symposium on AHP: Pittsburgh 1:197-202.
56. Miller JR (1966). The assessment of Worth: a systematic procedure and its experimental validation. PhD Thesis, MIT.
57. Miller JR (1969). Assessing alternative transportation systems, Memorandum RM-5865-DOR, The RAND Corporation.
58. Miller JR (1970). Professional decision-making: a procedure for evaluation complex alternatives. Praeger Publishers: NewYork.
59. Millet I, Saaty TL (2000). On the relativity of relative measures-accomodating both rank preservation and rank reversals in the AHP. Eur J Opl Res 121(1):205-212.
60. Millet I, Schoner B (2005). Incorporating negative values into the Analytic Hierarchy Process. Comput Opns Res 32(12): 3163-73.
61. Mingers J, Liu W, Weng W (2007). Using SSM to structure the identification of inputs and outputs in DEA. J Opl res Soc advance online publication 19 December 2007; doi: 10.1057/palgrave.jors.2602542.
62. Omkarprasad V, Sushil K (2006). Analytic hierarchy process: an overview of applications. Eur J Opl Res, 169(1):1-29.
63. Peláez PI, Lamata MT (2003). A new measure of consistency for positive reciprocal matrices. Comput Math Appl 46(12):1839-1845.
64. Pérez J (1995). Some comments on Saaty's AHP. Mngt Sci 41(6):1091-1095.
65. Pöyhönen M, Hamalainen RP, Salo AA (1997). An Experiment on the Numerical Modelling of Verbal Ratio Statements. J Multi-criteria Decis Anal 6:1-10.
66. Pöyhönen M, Hämäläinen RP (1998). Notes on the weighting biases in value trees. J Behav Decis Making 11(2): 139-150.
67. Roy B (1996). Multicriteria Methodology for Decision Analysis. Kluwer Academic Publishers: Dordrecht.
68. Saaty TL (1972). An eigenvalue allocation model for prioritization and planning. Working paper, Energy Management and Policy Center, University of Pennsylvania.
69. Saaty TL (1977). A scaling method for priorities in hierarchical structures. J Math Psychol 15: 234-281.
70. Saaty TL (1980). The analytic hierarchy process, planning, priority setting, resource allocation. McGraw-Hill: Columbus.
71. Saaty TL, Vargas LG (1984a). Comparaison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios. Math Modelling 5:309-324.
72. Saaty TL, Vargas LG (1984b). Inconsistency and Rank Preservation. J Math Psychol 28:205-214.
73. Saaty TL, Vargas LG (1984c). The legitimacy of rank reversal. Omega 12(5):513-516.
74. Saaty TL (1986). Axiomatic foundation of the analytic hierarchy process. Mngt Sci 32(7):841-855.
75. Saaty TL, Takizawa M (1986). Dependence and independence: from linear hierarchies to nonlinear networks. Eur J Opl Res 26(2):229-237
76. Saaty TL (1990). An exposition of the AHP in reply to the paper "Remarks on the Analytic Hierarchy Process". Mngt Sci 36(3):259-268.
77. Saaty TL (1991). Response to Holder's Comments on the Analytic Hierarchy Process. J Opl res Soc 42(10): 909-929.
78. Saaty TL, Forman EH (1992). The Hierarchon: A Dictionary of Hierarchies. Vol V, AHP Series. RWS Publications: Pittsburgh.
79. Saaty TL (1994). Highlights and critical points in the theory and application of the Analytic Hierarchy Process. Eur J Opl Res 74(3):426-447.
80. Saaty TL, Hu G (1998). Ranking by eigenvector versus other methods in the analytic hierarchy process. Appl Math Lett 11(4):121-125.
81. Saaty TL (2003). Decision-making with the AHP: Why is the Principal Eigenvector necessary? Eur J Opl Res 145:85-91.
82. Saaty TL and Ozdemir M (2003). Negative priorities in the analytic hierarchy process. Mathl Comput Modelling 37(9-10):1063-75.
83. Salo AA, Hamalainen RP (1997). On the Measurement of Preference in the Analytic Hierarchy Process. J Multi-criteria Decis Anal 6:309-319.
84. Schoner B, Wedley WC (1989). Ambigous criteria weights in AHP: consequences and solutions. Decis Sci 20(3):462-475.
85. Schoner B, Wedley WC, Choo EU (1993). A unified approach to AHP with linking pins. Eur J Opl Res 64(3):384-392
86. Sha DY, Che ZH (2006). Supply chain network design: partner selection and production/distribution planning using a systematic model. J Opl res Soc 57:52-62.
87. Shaw D, Franco A, Westcombe M (2007). Special Issue: Problem Structuring Methods II. J Opl res Soc 58(5).
88. Shim JP (1989). Bibliography research on the analytic hierarchy process (AHP). Socio Econ Plan Sci 23:161-167.
89. Stam A, Duarte Silva P (2003). On Multiplicative Priority Rating Methods for AHP. Eur J Opl Res 145(1): 92-108.
90. Stein WE, Mizzi PJ (2007). The harmonic consistency index for the analytic hierarchy process. Eur J Opl Res 177(1):488-497.
91. Stevens SS (1957). On the psychophysical law. Psychol Rev 64:153-181.
92. Stillwell WG, von Winterfeldt D, John RS (1987). Comparing hierarchical and Nonhierachical weighting methods for eliciting multiattribute value models. Mngt Sci 33(4):442-450.
93. Tavana M (2006). A priority assessment multi-criteria decision model for human spaceflight mission planning at NASA. J Opl res Soc 57: 1197-1215.
94. Thurstone LL (1927). A law of comparative judgments. Psychol Rev 34:273-286.
95. Triantaphyllou (2001). Two new cases of rank reversals when the AHP and some of its additive variants are used that do not occur with the multiplicative AHP. J Multi-criteria Decis Anal 10(1):11-25.
96. Troutt MD (1988). Rank reversal and the dependence of priorites on the underlying MAV function. Omega 16(4):365-367.
97. Tummala VMR, Wan YW (1994). On the mean random inconsistency index of the analytic hierarchy process (AHP). Comput Ind Eng 27:401-404.
98. Vargas LG (1985). A Rejoinder. Omega 13(4):249.
99. Vargas LG (1990), An overview of the analytic hierarchy process and its applications. Eur J Opl Res 48(1):2-8.
100. Vargas LG (1997). Comments on Barzilai and Lootsma Why the Multiplicative AHP is Invalid: A Practical Counterexample. J Multi-criteria Decis Anal 6(4):169-170.
101. Yokoyama M (1921). The Nature of the affective judgment in the method of paired comparison, The Amer J of Psy 32: 357-369.
102. Wang YM, Elhag TSM (2006). An approach to avoiding rank reversal in AHP. Decis Support Syst 42(3):1474-1480.
103. Weber M, Eisenführ F, von Winterfeldt D (1988) The effects of spitting attributes on weights in multiattribute utility measurement. Mngt Sci 34(4):431-445.
104. Webber SA, Apostolou B., Hassell JM (1996). The sensitivity of the analytic hierarchy process to alternative scale and cue presentations. Eur J Opl Res 96:351-362.
105. Wheeler S (2006). An analysis of combined arms teaming for the Australian defence force. J Opl res Soc 57: 1279-1288.
106. Zahedi F (1986), The analytic hierarchy process: a survey of the method and its applications. Interface 16:96-108.