메뉴 건너뛰기




Volumn 35, Issue , 2015, Pages 802-811

Bayesian revision of the individual pair-wise comparison matrices under consensus in AHP-GDM

Author keywords

Analytic hierarchy process (AHP); Bayesian revision method; Group decision making (GDM); Lognormal distribution; Pair wise comparison matrix (PCM)

Indexed keywords

ANALYTIC HIERARCHY PROCESS; CODES (SYMBOLS); HIERARCHICAL SYSTEMS; NUMERICAL METHODS;

EID: 84939651760     PISSN: 15684946     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.asoc.2015.02.041     Document Type: Article
Times cited : (25)

References (59)
  • 2
    • 79953162254 scopus 로고    scopus 로고
    • FAMCDM: A fusion approach of MCDM methods to rank multiclass classification algorithms
    • Y. Peng, G. Kou, G. Wang, and Y. Shi FAMCDM: a fusion approach of MCDM methods to rank multiclass classification algorithms Omega 39 2011 677 689
    • (2011) Omega , vol.39 , pp. 677-689
    • Peng, Y.1    Kou, G.2    Wang, G.3    Shi, Y.4
  • 3
    • 38249007252 scopus 로고
    • Group decision making using the analytic hierarchy process
    • I. Basak, and T.L. Saaty Group decision making using the analytic hierarchy process Math. Comput. Modell. 17 1993 101 109
    • (1993) Math. Comput. Modell. , vol.17 , pp. 101-109
    • Basak, I.1    Saaty, T.L.2
  • 5
    • 38649142499 scopus 로고    scopus 로고
    • An AHP-based evaluation procedure for innovative educational projects: A face-to-face vs. Computer-mediated case study
    • M.G. Melon, P.A. Beltran, and M.C.G. Cruz An AHP-based evaluation procedure for innovative educational projects: a face-to-face vs. computer-mediated case study Omega 36 2008 754 765
    • (2008) Omega , vol.36 , pp. 754-765
    • Melon, M.G.1    Beltran, P.A.2    Cruz, M.C.G.3
  • 7
    • 0002500105 scopus 로고
    • Group decision-making and the AHP
    • B.L. Golden, E.A. Wasil, P.T. Harker, Springer-Verlag New York, NY
    • T.L. Saaty Group decision-making and the AHP B.L. Golden, E.A. Wasil, P.T. Harker, The Analytic Hierarchy Process: Applications and Studies 1989 Springer-Verlag New York, NY 59 67
    • (1989) The Analytic Hierarchy Process: Applications and Studies , pp. 59-67
    • Saaty, T.L.1
  • 8
    • 35348822363 scopus 로고
    • Procedures for synthesizing ratio judgments
    • J. Aczel, and T.L. Saaty Procedures for synthesizing ratio judgments J. Math. Psychol. 27 1983 93 102
    • (1983) J. Math. Psychol. , vol.27 , pp. 93-102
    • Aczel, J.1    Saaty, T.L.2
  • 9
    • 0001951356 scopus 로고
    • AHP rank reversal normalization and aggregation rules
    • J. Barzilai, and B. Golany AHP rank reversal normalization and aggregation rules INFOR 32 1994 57 64
    • (1994) INFOR , vol.32 , pp. 57-64
    • Barzilai, J.1    Golany, B.2
  • 10
    • 0032124178 scopus 로고    scopus 로고
    • Aggregating individual judgments and priorities with the analytic hierarchy process
    • E. Forman, and K. Peniwati Aggregating individual judgments and priorities with the analytic hierarchy process Eur. J. Oper. Res. 108 1998 165 169
    • (1998) Eur. J. Oper. Res. , vol.108 , pp. 165-169
    • Forman, E.1    Peniwati, K.2
  • 11
    • 0000499550 scopus 로고
    • Group preference aggregation methods employed in AHP: An evaluation and intrinsic process for deriving members' weightages
    • R. Ramanathan, and L.S. Ganesh Group preference aggregation methods employed in AHP: an evaluation and intrinsic process for deriving members' weightages Eur. J. Oper. Res. 79 1994 249 265
    • (1994) Eur. J. Oper. Res. , vol.79 , pp. 249-265
    • Ramanathan, R.1    Ganesh, L.S.2
  • 12
    • 0032727361 scopus 로고    scopus 로고
    • Geometry of Decision-Making and the Vector Space Formulation of the analytic hierarchy process
    • S. Zahir Geometry of Decision-Making and the Vector Space Formulation of the analytic hierarchy process Eur. J. Oper. Res. 112 1999 373 396
    • (1999) Eur. J. Oper. Res. , vol.112 , pp. 373-396
    • Zahir, S.1
  • 13
    • 85027944078 scopus 로고    scopus 로고
    • Multiplicative consistency of intuitionistic reciprocal preference relations and its application to missing values estimation and consensus building
    • J. Wu, and F. Chiclana Multiplicative consistency of intuitionistic reciprocal preference relations and its application to missing values estimation and consensus building Knowl.-Based Syst. 71 2014 187 200
    • (2014) Knowl.-Based Syst. , vol.71 , pp. 187-200
    • Wu, J.1    Chiclana, F.2
  • 14
    • 84880358467 scopus 로고    scopus 로고
    • A statistical comparative study of different similarity measures of consensus in group decision making
    • F. Chiclana, J.M. Tapia-Garcia, M.J. Moral, and E. Herrera-Viedma A statistical comparative study of different similarity measures of consensus in group decision making Inf. Sci. 221 2013 110 123
    • (2013) Inf. Sci. , vol.221 , pp. 110-123
    • Chiclana, F.1    Tapia-Garcia, J.M.2    Moral, M.J.3    Herrera-Viedma, E.4
  • 15
    • 77956613705 scopus 로고    scopus 로고
    • A web based consensus support system for group decision making problems and incomplete preferences
    • S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera A web based consensus support system for group decision making problems and incomplete preferences Inf. Sci. 180 2010 4477 4495
    • (2010) Inf. Sci. , vol.180 , pp. 4477-4495
    • Alonso, S.1    Herrera-Viedma, E.2    Chiclana, F.3    Herrera, F.4
  • 17
    • 78651444787 scopus 로고    scopus 로고
    • Consensus building in AHP-group decision making: A Bayesian approach
    • A. Altuzarra, J.M. Moreno-Jimenez, and M. Salvador Consensus building in AHP-group decision making: a Bayesian approach Oper. Res. 58 2010 1755 1773
    • (2010) Oper. Res. , vol.58 , pp. 1755-1773
    • Altuzarra, A.1    Moreno-Jimenez, J.M.2    Salvador, M.3
  • 18
    • 84905174451 scopus 로고    scopus 로고
    • Y.C. Dong, Z.P. Fan, S. Yu, Consensus building in a local context for the AHP-GDM with the individual numerical scale and prioritization method. IEEE Trans. Fuzzy Syst., http://dx.doi.org/10.1109/TFUZZ. 2014.2312974.
    • Y.C. Dong, Z.P. Fan, S. Yu, Consensus building in a local context for the AHP-GDM with the individual numerical scale and prioritization method. IEEE Trans. Fuzzy Syst., http://dx.doi.org/10.1109/TFUZZ. 2014.2312974.
  • 19
    • 85027951968 scopus 로고    scopus 로고
    • Y.C. Dong, E. Herrera-Viedma, Consistency-driven automatic methodology to set interval numerical scales of 2-tuple linguistic term sets and its use in the linguistic GDM with preference relations. IEEE Trans. Cybern., http://dx.doi.org/10.1109/TCYB.2014.2336808.
    • Y.C. Dong, E. Herrera-Viedma, Consistency-driven automatic methodology to set interval numerical scales of 2-tuple linguistic term sets and its use in the linguistic GDM with preference relations. IEEE Trans. Cybern., http://dx.doi.org/10.1109/TCYB.2014.2336808.
  • 21
    • 60549093892 scopus 로고    scopus 로고
    • Cardinal consistency of reciprocal preference relations: A characterization of multiplicative transitivity
    • F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera Cardinal consistency of reciprocal preference relations: a characterization of multiplicative transitivity IEEE Trans. Fuzzy Syst. 17 2009 14 23
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , pp. 14-23
    • Chiclana, F.1    Herrera-Viedma, E.2    Alonso, S.3    Herrera, F.4
  • 22
    • 34147108016 scopus 로고    scopus 로고
    • Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations
    • F. Chiclana, E. Herrera-Viedma, F. Herrera, and S. Alonso Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations Eur. J. Oper. Res. 182 2007 383 399
    • (2007) Eur. J. Oper. Res. , vol.182 , pp. 383-399
    • Chiclana, F.1    Herrera-Viedma, E.2    Herrera, F.3    Alonso, S.4
  • 24
    • 84950758368 scopus 로고
    • The calculation of posterior distributions by data augmentation (with discussion)
    • M.A. Tanner, and W.H. Wong The calculation of posterior distributions by data augmentation (with discussion) J. Am. Stat. Assoc. 82 1987 528 550
    • (1987) J. Am. Stat. Assoc. , vol.82 , pp. 528-550
    • Tanner, M.A.1    Wong, W.H.2
  • 25
    • 0030535418 scopus 로고    scopus 로고
    • Uncertainty in expert predictions of the ecological consequences of forest plans
    • J.M. Alho, J. Kangas, and O. Kolehmainen Uncertainty in expert predictions of the ecological consequences of forest plans Appl. Stat. 45 1996 1 14
    • (1996) Appl. Stat. , vol.45 , pp. 1-14
    • Alho, J.M.1    Kangas, J.2    Kolehmainen, O.3
  • 26
    • 0030685749 scopus 로고    scopus 로고
    • Analyzing uncertainties in experts' opinions of forest plan performance
    • J.M. Alho, and J. Kangas Analyzing uncertainties in experts' opinions of forest plan performance For. Sci. 43 1997 521 528
    • (1997) For. Sci. , vol.43 , pp. 521-528
    • Alho, J.M.1    Kangas, J.2
  • 27
    • 0032122904 scopus 로고    scopus 로고
    • Probabilistic judgements specified partially in the analytic hierarchy process
    • I. Basak Probabilistic judgements specified partially in the analytic hierarchy process Eur. J. Oper. Res. 108 1998 153 164
    • (1998) Eur. J. Oper. Res. , vol.108 , pp. 153-164
    • Basak, I.1
  • 28
    • 0035254430 scopus 로고    scopus 로고
    • The categorical data analysis approach for ratio model of pairwise comparisons
    • I. Basak The categorical data analysis approach for ratio model of pairwise comparisons Eur. J. Oper. Res. 128 2001 532 544
    • (2001) Eur. J. Oper. Res. , vol.128 , pp. 532-544
    • Basak, I.1
  • 29
    • 34147190818 scopus 로고    scopus 로고
    • A Bayesian priorization procedure for AHP-group decision making
    • A. Altuzarra, J.M. Moreno-Jiménez, and M. Salvador A Bayesian priorization procedure for AHP-group decision making Eur. J. Oper. Res. 182 2007 367 382
    • (2007) Eur. J. Oper. Res. , vol.182 , pp. 367-382
    • Altuzarra, A.1    Moreno-Jiménez, J.M.2    Salvador, M.3
  • 30
    • 46149121294 scopus 로고    scopus 로고
    • A statistical framework for strategic decision making with AHP: Probability assessment and Bayesian revision
    • W.R. Hughes A statistical framework for strategic decision making with AHP: probability assessment and Bayesian revision Omega 37 2009 463 470
    • (2009) Omega , vol.37 , pp. 463-470
    • Hughes, W.R.1
  • 32
    • 77955716711 scopus 로고    scopus 로고
    • Consensus models for AHP group decision making under row geometric mean prioritization method
    • Y.C. Dong, G.Q. Zhang, W.C. Hong, and Y.F. Xu Consensus models for AHP group decision making under row geometric mean prioritization method Decis. Support Syst. 49 2010 281 289
    • (2010) Decis. Support Syst. , vol.49 , pp. 281-289
    • Dong, Y.C.1    Zhang, G.Q.2    Hong, W.C.3    Xu, Y.F.4
  • 33
    • 33845249697 scopus 로고    scopus 로고
    • A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations
    • Z.P. Fan, J. Ma, Y.P. Jiang, Y.H. Sun, and L. Ma A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations Eur. J. Oper. Res. 174 2006 311 321
    • (2006) Eur. J. Oper. Res. , vol.174 , pp. 311-321
    • Fan, Z.P.1    Ma, J.2    Jiang, Y.P.3    Sun, Y.H.4    Ma, L.5
  • 34
    • 84884595736 scopus 로고    scopus 로고
    • Synthesis of individual best local priority vectors in AHP-group decision making
    • B. Srdjevic, and Z. Srdjevic Synthesis of individual best local priority vectors in AHP-group decision making Appl. Soft Comput. 13 2013 2045 2056
    • (2013) Appl. Soft Comput. , vol.13 , pp. 2045-2056
    • Srdjevic, B.1    Srdjevic, Z.2
  • 35
    • 84856012195 scopus 로고    scopus 로고
    • A consistency and consensus based decision support model for group decision making with multiplicative preference relations
    • Z.B. Wu, and J.P. Xu A consistency and consensus based decision support model for group decision making with multiplicative preference relations Decis. Support Syst. 52 2012 757 767
    • (2012) Decis. Support Syst. , vol.52 , pp. 757-767
    • Wu, Z.B.1    Xu, J.P.2
  • 36
    • 84895057039 scopus 로고    scopus 로고
    • A cosine maximization method for the priority vector derivation in AHP
    • http://dx.doi.org/10.1016/j.ejor.2013.10.019
    • G. Kou, and C.S. Lin A cosine maximization method for the priority vector derivation in AHP Eur. J. Oper. Res. 2013 http://dx.doi.org/10.1016/j.ejor.2013.10.019
    • (2013) Eur. J. Oper. Res.
    • Kou, G.1    Lin, C.S.2
  • 37
    • 70649103863 scopus 로고    scopus 로고
    • A qualitative perspective to deriving weights from pairwise comparison matrices
    • R. Ramanathan, and U. Ramanathan A qualitative perspective to deriving weights from pairwise comparison matrices Omega 38 2010 228 232
    • (2010) Omega , vol.38 , pp. 228-232
    • Ramanathan, R.1    Ramanathan, U.2
  • 38
    • 38649113569 scopus 로고    scopus 로고
    • Modifying inconsistent comparison matrix in analytic hierarchy process: A heuristic approach
    • D. Cao, L.C. Leung, and J.S. Law Modifying inconsistent comparison matrix in analytic hierarchy process: a heuristic approach Decis. Support Syst. 44 2008 944 953
    • (2008) Decis. Support Syst. , vol.44 , pp. 944-953
    • Cao, D.1    Leung, L.C.2    Law, J.S.3
  • 39
    • 79955597254 scopus 로고    scopus 로고
    • A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP
    • D. Ergu, G. Kou, Y. Peng, and Y. Shi A simple method to improve the consistency ratio of the pair-wise comparison matrix in ANP Eur. J. Oper. Res. 213 2011 246 259
    • (2011) Eur. J. Oper. Res. , vol.213 , pp. 246-259
    • Ergu, D.1    Kou, G.2    Peng, Y.3    Shi, Y.4
  • 40
    • 0023382999 scopus 로고
    • Consistent weights for judgement matrices of the relative importance of alternatives
    • J. Barzilai, W.D. Cook, and B. Golani Consistent weights for judgement matrices of the relative importance of alternatives Oper. Res. Lett. 6 1987 131 134
    • (1987) Oper. Res. Lett. , vol.6 , pp. 131-134
    • Barzilai, J.1    Cook, W.D.2    Golani, B.3
  • 41
    • 0001490143 scopus 로고
    • A note on the analysis of subjective judgment matrices
    • G. Crawford, and C. Williams A note on the analysis of subjective judgment matrices J. Math. Psychol. 29 1985 387 405
    • (1985) J. Math. Psychol. , vol.29 , pp. 387-405
    • Crawford, G.1    Williams, C.2
  • 42
    • 0035885549 scopus 로고    scopus 로고
    • Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations
    • F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations Fuzzy Sets Syst. 122 2001 277 291
    • (2001) Fuzzy Sets Syst. , vol.122 , pp. 277-291
    • Chiclana, F.1    Herrera, F.2    Herrera-Viedma, E.3
  • 43
    • 0242364101 scopus 로고    scopus 로고
    • A note on AHP group consistency for the row geometric mean priorization procedure
    • M.T. Escobar, J. Aguarón, and J.M. Moreno-Jiménez A note on AHP group consistency for the row geometric mean priorization procedure Eur. J. Oper. Res. 153 2004 318 322
    • (2004) Eur. J. Oper. Res. , vol.153 , pp. 318-322
    • Escobar, M.T.1    Aguarón, J.2    Moreno-Jiménez, J.M.3
  • 44
    • 35348935988 scopus 로고    scopus 로고
    • A comparative study of the numerical scales and the prioritization methods in AHP
    • Y.C. Dong, Y.F. Xu, H.Y. Li, and M. Dai A comparative study of the numerical scales and the prioritization methods in AHP Eur. J. Oper. Res. 186 2008 229 242
    • (2008) Eur. J. Oper. Res. , vol.186 , pp. 229-242
    • Dong, Y.C.1    Xu, Y.F.2    Li, H.Y.3    Dai, M.4
  • 46
    • 84890122529 scopus 로고    scopus 로고
    • An improved statistical approach for consistency test in AHP
    • 10.1007/s10479-013-1413-5
    • C.S. Lin, G. Kou, and D. Ergu An improved statistical approach for consistency test in AHP Ann. Oper. Res. 2013 10.1007/s10479-013-1413-5
    • (2013) Ann. Oper. Res.
    • Lin, C.S.1    Kou, G.2    Ergu, D.3
  • 47
    • 0002865584 scopus 로고
    • Reciprocal matrices with random coefficients
    • L.G. Vargas Reciprocal matrices with random coefficients Math. Model. 3 1982 69 81
    • (1982) Math. Model. , vol.3 , pp. 69-81
    • Vargas, L.G.1
  • 48
    • 0025700926 scopus 로고
    • Testing the rank order of the priorities of the alternatives in Saaty's ratio-scale method
    • I. Basak Testing the rank order of the priorities of the alternatives in Saaty's ratio-scale method Eur. J. Oper. Res. 48 1990 148 152
    • (1990) Eur. J. Oper. Res. , vol.48 , pp. 148-152
    • Basak, I.1
  • 49
    • 0001270743 scopus 로고
    • A statistical approach to Saaty's scaling method of priorities
    • P.D. Jong A statistical approach to Saaty's scaling method of priorities J. Math. Psychol. 28 1984 467 478
    • (1984) J. Math. Psychol. , vol.28 , pp. 467-478
    • Jong, P.D.1
  • 50
    • 0031381524 scopus 로고    scopus 로고
    • Deriving weights from pairwise comparison matrices
    • J. Barzilai Deriving weights from pairwise comparison matrices J. Oper. Res. Soc. 48 1997 1226 1232
    • (1997) J. Oper. Res. Soc. , vol.48 , pp. 1226-1232
    • Barzilai, J.1
  • 53
    • 0344672501 scopus 로고    scopus 로고
    • A consistency improving method in the analytic hierarchy process
    • Z.S. Xu, and C.P. Wei A consistency improving method in the analytic hierarchy process Eur. J. Oper. Res. 116 1999 443 449
    • (1999) Eur. J. Oper. Res. , vol.116 , pp. 443-449
    • Xu, Z.S.1    Wei, C.P.2
  • 54
    • 0027657345 scopus 로고
    • A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices
    • B. Golany, and M. Kress A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices Eur. J. Oper. Res. 69 1993 210 220
    • (1993) Eur. J. Oper. Res. , vol.69 , pp. 210-220
    • Golany, B.1    Kress, M.2
  • 55
    • 17644373620 scopus 로고
    • Linear programming method for solving the group-AHP
    • Y.M. Wang, and N.R. Xu Linear programming method for solving the group-AHP J. Southeast Univ. 20 1990 58 63
    • (1990) J. Southeast Univ. , vol.20 , pp. 58-63
    • Wang, Y.M.1    Xu, N.R.2
  • 56
    • 84895057039 scopus 로고    scopus 로고
    • A cosine maximization method for the priority vector derivation in AHP
    • http://dx.doi.org/10.1016/j.ejor.2013.10.019
    • G. Kou, and C.S. Lin A cosine maximization method for the priority vector derivation in AHP Eur. J. Oper. Res. 235 2014 225 232 http://dx.doi.org/10.1016/j.ejor.2013.10.019
    • (2014) Eur. J. Oper. Res. , vol.235 , pp. 225-232
    • Kou, G.1    Lin, C.S.2
  • 57
    • 84900597753 scopus 로고    scopus 로고
    • Enhancing data consistency in decision matrix: Adapting hadamard model to mitigate judgment contradiction
    • http://dx.doi.org/10.1016/j.ejor.2013.11.035
    • G. Kou, D. Ergu, and J. Shang Enhancing data consistency in decision matrix: adapting hadamard model to mitigate judgment contradiction Eur. J. Oper. Res. 236 1 2014 261 271 http://dx.doi.org/10.1016/j.ejor.2013.11.035
    • (2014) Eur. J. Oper. Res. , vol.236 , Issue.1 , pp. 261-271
    • Kou, G.1    Ergu, D.2    Shang, J.3
  • 58
    • 84900799213 scopus 로고    scopus 로고
    • Evaluation of Clustering Algorithms for Financial Risk Analysis using MCDM Methods
    • http://dx.doi.org/10.1016/j.ins.2014.02.137
    • G. Kou, Y. Peng, and G.X. Wang Evaluation of Clustering Algorithms for Financial Risk Analysis using MCDM Methods Inf. Sci. 27 2014 1 12 http://dx.doi.org/10.1016/j.ins.2014.02.137
    • (2014) Inf. Sci. , vol.27 , pp. 1-12
    • Kou, G.1    Peng, Y.2    Wang, G.X.3
  • 59
    • 84886722090 scopus 로고    scopus 로고
    • Analytic network process in risk assessment and decision analysis
    • http://dx.doi.org/10.1016/j.cor.2011.03.005
    • D. Ergu, G. Kou, Y. Shi, and Y. Shi Analytic network process in risk assessment and decision analysis Comput. Oper. Res. 42 2014 58 74 http://dx.doi.org/10.1016/j.cor.2011.03.005
    • (2014) Comput. Oper. Res. , vol.42 , pp. 58-74
    • Ergu, D.1    Kou, G.2    Shi, Y.3    Shi, Y.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.