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Volumn 20, Issue 3-4, 2013, Pages 141-155

A comprehensive literature review of the rank reversal phenomenon in the analytic hierarchy process

Author keywords

Aggregation; Analytic hierarchy process; Analytic network process; Classification; Literature review; Normalization; Rank reversal

Indexed keywords


EID: 84886285610     PISSN: 10579214     EISSN: 10991360     Source Type: Journal    
DOI: 10.1002/mcda.1479     Document Type: Article
Times cited : (86)

References (85)
  • 1
    • 0025521771 scopus 로고
    • Deriving weights from pairwise comparison matrices: the additive case
    • Barzilai J, Golany B. 1990. Deriving weights from pairwise comparison matrices: the additive case. Operations Research Letters 9(6): 407-410.
    • (1990) Operations Research Letters , vol.9 , Issue.6 , pp. 407-410
    • Barzilai, J.1    Golany, B.2
  • 2
    • 0001951356 scopus 로고
    • AHP rank reversal, normalization and aggregation rules
    • Barzilai J, Golany B. 1994. AHP rank reversal, normalization and aggregation rules. INFOR 32(2): 57-63.
    • (1994) INFOR , vol.32 , Issue.2 , pp. 57-63
    • Barzilai, J.1    Golany, B.2
  • 3
    • 41549111325 scopus 로고    scopus 로고
    • Power relations and group aggregation in the multiplicative AHP and SMART
    • Barzilai B, Lootsma FA. 1997. Power relations and group aggregation in the multiplicative AHP and SMART. Journal of Multi-Criteria Decision Analysis 6: 155-165.
    • (1997) Journal of Multi-Criteria Decision Analysis , vol.6 , pp. 155-165
    • Barzilai, B.1    Lootsma, F.A.2
  • 4
    • 0022328021 scopus 로고
    • A comparison of the analytic hierarchy process and a simple multi-attribute value function
    • Belton V. 1986. A comparison of the analytic hierarchy process and a simple multi-attribute value function. European Journal of Operational Research 26: 7-21.
    • (1986) European Journal of Operational Research , vol.26 , pp. 7-21
    • Belton, V.1
  • 5
    • 49049129048 scopus 로고
    • On a short-coming of Saaty's method of analytic hierarchies
    • Belton V, Gear T. 1983. On a short-coming of Saaty's method of analytic hierarchies. Omega 11: 228-230.
    • (1983) Omega , vol.11 , pp. 228-230
    • Belton, V.1    Gear, T.2
  • 6
    • 16244363585 scopus 로고
    • The legitimacy of rank reversal-a comment
    • Belton V, Gear T. 1985. The legitimacy of rank reversal-a comment. Omega 13(3): 143-144.
    • (1985) Omega , vol.13 , Issue.3 , pp. 143-144
    • Belton, V.1    Gear, T.2
  • 8
    • 84994930388 scopus 로고
    • Software review. Three packages for AHP: Criterium, Expert Choice and HIPRE 3+
    • Buede DM. 1992. Software review. Three packages for AHP: Criterium, Expert Choice and HIPRE 3+. Journal of Multi-Criteria Decision Analysis 1: 119-121.
    • (1992) Journal of Multi-Criteria Decision Analysis , vol.1 , pp. 119-121
    • Buede, D.M.1
  • 10
    • 0000048723 scopus 로고
    • Remarks on the analytic hierarchy process
    • Dyer JS. 1990a. Remarks on the analytic hierarchy process. Management Science 36: 249-258.
    • (1990) Management Science , vol.36 , pp. 249-258
    • Dyer, J.S.1
  • 11
    • 0000048723 scopus 로고
    • A clarification of 'Remarks on the analytic hierarchy process'
    • Dyer JS. 1990b. A clarification of 'Remarks on the analytic hierarchy process'. Management Sciences 36: 274-275.
    • (1990) Management Sciences , vol.36 , pp. 274-275
    • Dyer, J.S.1
  • 12
    • 84886308186 scopus 로고
    • Irrelevant alternatives and the analytic hierarchy process. Technical Report, Department of Management, The University of Texas at Austin.
    • Dyer JS, Ravinder HV. 1983. Irrelevant alternatives and the analytic hierarchy process. Technical Report, Department of Management, The University of Texas at Austin.
    • (1983)
    • Dyer, J.S.1    Ravinder, H.V.2
  • 13
    • 84886306739 scopus 로고
    • A critique of the analytic hierarchy process. Technical Report 84/85-4-24, Department of Management, The University of Texas at Austin.
    • Dyer JS, Wendell RE. 1985. A critique of the analytic hierarchy process. Technical Report 84/85-4-24, Department of Management, The University of Texas at Austin.
    • (1985)
    • Dyer, J.S.1    Wendell, R.E.2
  • 14
    • 84886308184 scopus 로고
    • Expert Choice. Decision Support Software, Inc.: McLean, VA.
    • Expert Choice. 1985. Decision Support Software, Inc.: McLean, VA.
    • (1985)
  • 16
    • 0036643152 scopus 로고    scopus 로고
    • The analytic hierarchy process: can wash criteria be ignored
    • Finan JS, Hurley WJ. 2002. The analytic hierarchy process: can wash criteria be ignored. Computers and Operation Research 29(8): 1025-1030.
    • (2002) Computers and Operation Research , vol.29 , Issue.8 , pp. 1025-1030
    • Finan, J.S.1    Hurley, W.J.2
  • 17
    • 0002466362 scopus 로고
    • AHP is intended for more than expected value calculations
    • Forman EH. 1990. AHP is intended for more than expected value calculations. Decision Sciences 36: 671-673.
    • (1990) Decision Sciences , vol.36 , pp. 671-673
    • Forman, E.H.1
  • 18
    • 38249007153 scopus 로고
    • Facts and fictions about the analytic hierarchy process
    • Forman EH. 1993. Facts and fictions about the analytic hierarchy process. Mathematical and Computer Modelling 17(4-5): 19-26.
    • (1993) Mathematical and Computer Modelling , vol.17 , Issue.4-5 , pp. 19-26
    • Forman, E.H.1
  • 20
    • 0023451328 scopus 로고
    • The theory of ratio scale estimation: Saaty's analytic hierarchy process
    • Harker PT, Vargas LG. 1987. The theory of ratio scale estimation: Saaty's analytic hierarchy process. Management Science 33(11): 1383-1403.
    • (1987) Management Science , vol.33 , Issue.11 , pp. 1383-1403
    • Harker, P.T.1    Vargas, L.G.2
  • 21
    • 0001486041 scopus 로고
    • Reply to 'Remarks on the analytic hierarchy process'
    • Harker PT, Vargas LG. 1990. Reply to 'Remarks on the analytic hierarchy process'. Management Science 36: 269-273.
    • (1990) Management Science , vol.36 , pp. 269-273
    • Harker, P.T.1    Vargas, L.G.2
  • 22
    • 0041860329 scopus 로고    scopus 로고
    • Stochastic pairwise comparative judgments and direct ratings of alternatives in the REMBRANDT system
    • Honert RC. 1998. Stochastic pairwise comparative judgments and direct ratings of alternatives in the REMBRANDT system. Journal of Multi-Criteria Decision Analysis 7: 87-97.
    • (1998) Journal of Multi-Criteria Decision Analysis , vol.7 , pp. 87-97
    • Honert, R.C.1
  • 23
    • 84989486029 scopus 로고
    • The relationship between the analytic hierarchy process and the additive value function
    • Kamenetzky RD. 1982. The relationship between the analytic hierarchy process and the additive value function. Decision Sciences 13(4): 702-713.
    • (1982) Decision Sciences , vol.13 , Issue.4 , pp. 702-713
    • Kamenetzky, R.D.1
  • 25
    • 20444470700 scopus 로고    scopus 로고
    • Rank reversals in multi-criteria decision analysis with statistical modeling of ratio-scale pairwise comparisons
    • Leskinen P, Kangas J. 2005. Rank reversals in multi-criteria decision analysis with statistical modeling of ratio-scale pairwise comparisons. Journal of the Operational Research Society 56(7): 855-861.
    • (2005) Journal of the Operational Research Society , vol.56 , Issue.7 , pp. 855-861
    • Leskinen, P.1    Kangas, J.2
  • 26
    • 0035401150 scopus 로고    scopus 로고
    • On the efficacy of modeling multi-attribute decision problems using AHP and Sinarchy
    • Leung LC, Cao D. 2001. On the efficacy of modeling multi-attribute decision problems using AHP and Sinarchy. European Journal of Operational Research 132: 39-49.
    • (2001) European Journal of Operational Research , vol.132 , pp. 39-49
    • Leung, L.C.1    Cao, D.2
  • 29
    • 84886306740 scopus 로고
    • Scale sensitivity and rank preservation in a multiplicative variant of the AHP and SMART. Report 91-67, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands.
    • Lootsma FA. 1991. Scale sensitivity and rank preservation in a multiplicative variant of the AHP and SMART. Report 91-67, Faculty of Technical Mathematics and Informatics, Delft University of Technology, Delft, The Netherlands.
    • (1991)
    • Lootsma, F.A.1
  • 31
    • 34547465913 scopus 로고    scopus 로고
    • Response to the comments by Larichev, Korhonen and Vargas on 'Power relations and group aggregation in the multiplicative AHP and SMART'
    • Lootsma FA, Barzilai J. 1997. Response to the comments by Larichev, Korhonen and Vargas on 'Power relations and group aggregation in the multiplicative AHP and SMART'. Journal of Multi-Criteria Decision Analysis 6: 171-174.
    • (1997) Journal of Multi-Criteria Decision Analysis , vol.6 , pp. 171-174
    • Lootsma, F.A.1    Barzilai, J.2
  • 32
    • 0343517591 scopus 로고    scopus 로고
    • On the relativity of relative measures accommodating both rank preservation and rank reversals in the AHP
    • Millet I, Saaty TL. 2000. On the relativity of relative measures accommodating both rank preservation and rank reversals in the AHP. European Journal of Operational Research 121: 205-212.
    • (2000) European Journal of Operational Research , vol.121 , pp. 205-212
    • Millet, I.1    Saaty, T.L.2
  • 33
    • 0000662921 scopus 로고
    • Some comments on Saaty's AHP
    • Perez J. 1995. Some comments on Saaty's AHP. Management Science 41(6): 1091-1095.
    • (1995) Management Science , vol.41 , Issue.6 , pp. 1091-1095
    • Perez, J.1
  • 34
    • 59149095631 scopus 로고    scopus 로고
    • Another potential shortcoming of AHP
    • Perez J, Jimeno JL, Mokotoff E. 2006. Another potential shortcoming of AHP. TOP 14(1): 99-111.
    • (2006) TOP , vol.14 , Issue.1 , pp. 99-111
    • Perez, J.1    Jimeno, J.L.2    Mokotoff, E.3
  • 35
    • 29544437263 scopus 로고    scopus 로고
    • Evaluating relationship of consistency ratio and number of alternatives on rank reversal in the AHP
    • Raharjo H, Endah D. 2005. Evaluating relationship of consistency ratio and number of alternatives on rank reversal in the AHP. Quality Engineering 18(1): 39-46.
    • (2005) Quality Engineering , vol.18 , Issue.1 , pp. 39-46
    • Raharjo, H.1    Endah, D.2
  • 36
    • 26444618123 scopus 로고    scopus 로고
    • Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process
    • Ramanathan R. 2006. Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process. Computers and Operations Research 33: 1289-1307.
    • (2006) Computers and Operations Research , vol.33 , pp. 1289-1307
    • Ramanathan, R.1
  • 39
    • 0000544458 scopus 로고
    • Axiomatic foundations of the analytic hierarchy process
    • Saaty TL. 1986. Axiomatic foundations of the analytic hierarchy process. Management Science 32: 841-855.
    • (1986) Management Science , vol.32 , pp. 841-855
    • Saaty, T.L.1
  • 40
    • 84985790721 scopus 로고
    • Rank generation, preservation, and reversal in the analytic hierarchy process
    • Saaty TL. 1987a. Rank generation, preservation, and reversal in the analytic hierarchy process. Decision Science 18: 157-177.
    • (1987) Decision Science , vol.18 , pp. 157-177
    • Saaty, T.L.1
  • 41
    • 38249035875 scopus 로고
    • Decision making, new information, ranking and structure
    • Saaty TL. 1987b. Decision making, new information, ranking and structure. Mathematical Modelling 8: 125-132.
    • (1987) Mathematical Modelling , vol.8 , pp. 125-132
    • Saaty, T.L.1
  • 42
    • 2242485025 scopus 로고
    • The analytic hierarchy process: what it is and how it is used
    • Saaty TL. 1987c. The analytic hierarchy process: what it is and how it is used. Mathematical Modelling 9: 161-176.
    • (1987) Mathematical Modelling , vol.9 , pp. 161-176
    • Saaty, T.L.1
  • 43
    • 0000048723 scopus 로고
    • An exposition of the AHP in reply to the paper 'Remarks on the analytic hierarchy process'
    • Saaty TL. 1990. An exposition of the AHP in reply to the paper 'Remarks on the analytic hierarchy process'. Management Science 36: 259-268.
    • (1990) Management Science , vol.36 , pp. 259-268
    • Saaty, T.L.1
  • 44
    • 84886311157 scopus 로고
    • Rank and the controversy about the axioms of utility theory-a comparison of AHP and MAUT. The 2nd International Symposium on the Analytic Hierarchy Process, Pittsburgh, PA.
    • Saaty TL. 1991. Rank and the controversy about the axioms of utility theory-a comparison of AHP and MAUT. The 2nd International Symposium on the Analytic Hierarchy Process, Pittsburgh, PA.
    • (1991)
    • Saaty, T.L.1
  • 45
    • 0028765110 scopus 로고
    • Highlights and critical points in the theory and application of the analytic hierarchy process
    • Saaty TL. 1994a. Highlights and critical points in the theory and application of the analytic hierarchy process. European Journal of Operational Research 74: 426-447.
    • (1994) European Journal of Operational Research , vol.74 , pp. 426-447
    • Saaty, T.L.1
  • 47
    • 78650899635 scopus 로고    scopus 로고
    • That is not the analytic hierarchy process: what the AHP is and what it is not
    • Saaty TL. 1997. That is not the analytic hierarchy process: what the AHP is and what it is not. Journal of Multi-Criteria Decision Analysis 6: 320-339.
    • (1997) Journal of Multi-Criteria Decision Analysis , vol.6 , pp. 320-339
    • Saaty, T.L.1
  • 49
    • 24944530823 scopus 로고    scopus 로고
    • Rank from comparisons and from ratings in the analytic hierarchy/network processes
    • Saaty TL. 2006. Rank from comparisons and from ratings in the analytic hierarchy/network processes. European Journal of Operational Research 168: 557-570.
    • (2006) European Journal of Operational Research , vol.168 , pp. 557-570
    • Saaty, T.L.1
  • 52
    • 0004950831 scopus 로고
    • The legitimacy of rank reversal
    • Saaty TL, Vargas LG. 1984a. The legitimacy of rank reversal. Omega 12(5): 513-516.
    • (1984) Omega , vol.12 , Issue.5 , pp. 513-516
    • Saaty, T.L.1    Vargas, L.G.2
  • 54
    • 0023432320 scopus 로고
    • Uncertainty and rank order in the analytic hierarchy process
    • Saaty TL, Vargas LG. 1987. Uncertainty and rank order in the analytic hierarchy process. European Journal of Operational Research 32(13): 107-117.
    • (1987) European Journal of Operational Research , vol.32 , Issue.13 , pp. 107-117
    • Saaty, T.L.1    Vargas, L.G.2
  • 55
    • 0043164325 scopus 로고
    • Experiments on rank preservation and reversal in relative measurement
    • Saaty TL, Vargas LG. 1993. Experiments on rank preservation and reversal in relative measurement. Mathematical and Computer Modelling 17(4-5): 13-18.
    • (1993) Mathematical and Computer Modelling , vol.17 , Issue.4-5 , pp. 13-18
    • Saaty, T.L.1    Vargas, L.G.2
  • 58
  • 59
    • 84985746705 scopus 로고
    • Ambiguous criteria weights in AHP: consequences and solutions
    • Schoner B, Wedley WC. 1989. Ambiguous criteria weights in AHP: consequences and solutions. Decision Sciences 20: 462-475.
    • (1989) Decision Sciences , vol.20 , pp. 462-475
    • Schoner, B.1    Wedley, W.C.2
  • 60
    • 84985782204 scopus 로고
    • A rejoinder to Forman on AHP, with emphasis on the requirements of composite ratio scales
    • Schoner B, Wedley WC, Choo EU. 1992. A rejoinder to Forman on AHP, with emphasis on the requirements of composite ratio scales. Decision Sciences 23: 509-517.
    • (1992) Decision Sciences , vol.23 , pp. 509-517
    • Schoner, B.1    Wedley, W.C.2    Choo, E.U.3
  • 64
    • 41449104926 scopus 로고    scopus 로고
    • Short note on 'On the measurement of preference in the analytic hierarchy process' by Salo AA, and Hämäläinen RP
    • Stam A. 1997. Short note on 'On the measurement of preference in the analytic hierarchy process' by Salo AA, and Hämäläinen RP. Journal of Multi-Criteria Decision Analysis 6(6): 320-339.
    • (1997) Journal of Multi-Criteria Decision Analysis , vol.6 , Issue.6 , pp. 320-339
    • Stam, A.1
  • 65
    • 0040063717 scopus 로고    scopus 로고
    • Stochastic judgments in the AHP: the measurement of rank reversal probabilities
    • Stam A, Silva APD. 1997. Stochastic judgments in the AHP: the measurement of rank reversal probabilities. Decision Sciences 28(3): 655-688.
    • (1997) Decision Sciences , vol.28 , Issue.3 , pp. 655-688
    • Stam, A.1    Silva, A.P.D.2
  • 67
    • 1842553812 scopus 로고    scopus 로고
    • 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
    • Triantaphyllou E. 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. Journal of Multi-Criteria Decision Analysis 10: 11-25.
    • (2001) Journal of Multi-Criteria Decision Analysis , vol.10 , pp. 11-25
    • Triantaphyllou, E.1
  • 68
    • 0005288221 scopus 로고
    • An examination of the effectiveness of four multi-dimensional decision-making methods: a decision-making paradox
    • Triantaphyllou E, Mann SH. 1989. An examination of the effectiveness of four multi-dimensional decision-making methods: a decision-making paradox. International Journal of Decision Support Systems 5: 303-312.
    • (1989) International Journal of Decision Support Systems , vol.5 , pp. 303-312
    • Triantaphyllou, E.1    Mann, S.H.2
  • 69
    • 0042764258 scopus 로고
    • Some critical issues in making decisions with pairwise comparisons
    • In, Forman EH (ed.). George Washington University: Washington, DC;.
    • Triantaphyllou E, Mann SH. 1994a. Some critical issues in making decisions with pairwise comparisons. In Proceedings of the Third International Symposium on the AHP, Forman EH (ed.). George Washington University: Washington, DC; 225-235.
    • (1994) Proceedings of the Third International Symposium on the AHP , pp. 225-235
    • Triantaphyllou, E.1    Mann, S.H.2
  • 70
    • 0028464032 scopus 로고
    • An evaluation of the AHP and the revised AHP when the eigenvalue method is used under a continuity assumption
    • Triantaphyllou E, Mann SH. 1994b. An evaluation of the AHP and the revised AHP when the eigenvalue method is used under a continuity assumption. Computers and Industrial Engineering 26: 609-618.
    • (1994) Computers and Industrial Engineering , vol.26 , pp. 609-618
    • Triantaphyllou, E.1    Mann, S.H.2
  • 72
    • 29444431616 scopus 로고
    • Corrigendum and further results: rank reversal and the dependence of priorities on the underlying MAV function
    • Trout M, Tadisina S. 1990. Corrigendum and further results: rank reversal and the dependence of priorities on the underlying MAV function. Omega 18(6): 655-658.
    • (1990) Omega , vol.18 , Issue.6 , pp. 655-658
    • Trout, M.1    Tadisina, S.2
  • 73
    • 38249030486 scopus 로고
    • Rank reversal and the dependence of priorities on the underlying MAV function
    • Troutt M. 1988. Rank reversal and the dependence of priorities on the underlying MAV function. Omega 16: 365-367.
    • (1988) Omega , vol.16 , pp. 365-367
    • Troutt, M.1
  • 75
    • 0028765131 scopus 로고
    • Reply to Schenkerman's avoiding rank reversal in AHP decision support models
    • Vargas LG. 1994. Reply to Schenkerman's avoiding rank reversal in AHP decision support models. European Journal of Operational Research 74: 420-425.
    • (1994) European Journal of Operational Research , vol.74 , pp. 420-425
    • Vargas, L.G.1
  • 76
    • 85006535565 scopus 로고    scopus 로고
    • Why the multiplicative AHP is invalid: a practical example
    • Vargas LG. 1997. Why the multiplicative AHP is invalid: a practical example. Journal of Multi-Criteria Decision Analysis 6(3): 169-170.
    • (1997) Journal of Multi-Criteria Decision Analysis , vol.6 , Issue.3 , pp. 169-170
    • Vargas, L.G.1
  • 77
    • 33750483622 scopus 로고    scopus 로고
    • An approach to avoiding rank reversal in AHP
    • Wang Y, Elhag TMS. 2006. An approach to avoiding rank reversal in AHP. Decision Support Systems 42(3): 1474-1480.
    • (2006) Decision Support Systems , vol.42 , Issue.3 , pp. 1474-1480
    • Wang, Y.1    Elhag, T.M.S.2
  • 79
    • 0000942268 scopus 로고
    • Assessing attribute weights
    • Watson SR, Freeling ANS. 1982. Assessing attribute weights. Omega 10(6): 582-583.
    • (1982) Omega , vol.10 , Issue.6 , pp. 582-583
    • Watson, S.R.1    Freeling, A.N.S.2
  • 80
    • 84994974023 scopus 로고
    • Clustering dependence and ratio scales in AHP: rank reversals and incorrect priorities with a single criterion
    • Wedley WC, Schoner B, Choo EU. 1993. Clustering dependence and ratio scales in AHP: rank reversals and incorrect priorities with a single criterion. Journal of Multi-Criteria Decision Analysis 2(3): 145-158.
    • (1993) Journal of Multi-Criteria Decision Analysis , vol.2 , Issue.3 , pp. 145-158
    • Wedley, W.C.1    Schoner, B.2    Choo, E.U.3
  • 81
    • 34247579154 scopus 로고    scopus 로고
    • Editorial: multiple criteria decision making for engineering
    • Wiecek MM, Ehrgott M, Fadel G, Figueira JR. 2008. Editorial: multiple criteria decision making for engineering. Omega 36: 337-339.
    • (2008) Omega , vol.36 , pp. 337-339
    • Wiecek, M.M.1    Ehrgott, M.2    Fadel, G.3    Figueira, J.R.4
  • 82
    • 84870355920 scopus 로고    scopus 로고
    • Correcting illegitimate rank reversals: proper adjustment of criteria weights prevent alleged AHP intransitivity
    • Wijnmalen DJD, Wedley WC. 2009a. Correcting illegitimate rank reversals: proper adjustment of criteria weights prevent alleged AHP intransitivity. Journal of Multi-Criteria Decision 15: 135-141.
    • (2009) Journal of Multi-Criteria Decision , vol.15 , pp. 135-141
    • Wijnmalen, D.J.D.1    Wedley, W.C.2
  • 83
    • 85015563077 scopus 로고    scopus 로고
    • Non-discriminating criteria in the AHP: removal and rank reversal
    • Wijnmalen DJD, Wedley WC. 2009b. Non-discriminating criteria in the AHP: removal and rank reversal. Journal of Multi-Criteria Decision 15: 143-149.
    • (2009) Journal of Multi-Criteria Decision , vol.15 , pp. 143-149
    • Wijnmalen, D.J.D.1    Wedley, W.C.2
  • 84
    • 0001363843 scopus 로고
    • Decision modeling and rational choice: AHP and utility theory
    • Winkler RL. 1990. Decision modeling and rational choice: AHP and utility theory. Management Science 36: 247-248.
    • (1990) Management Science , vol.36 , pp. 247-248
    • Winkler, R.L.1
  • 85
    • 84855746082 scopus 로고    scopus 로고
    • Normalisation and rank reversals in the additive analytic hierarchy process: a new analysis
    • Zahir S. 2009. Normalisation and rank reversals in the additive analytic hierarchy process: a new analysis. International Journal of Operational Research 4(4): 446-467.
    • (2009) International Journal of Operational Research , vol.4 , Issue.4 , pp. 446-467
    • Zahir, S.1


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