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Volumn 270, Issue , 2014, Pages 192-203

A stochastic AHP decision making methodology for imprecise preferences

Author keywords

AHP; Beta Distribution; Imprecise Pairwise Comparisons; Inconsistency; Non linear programming

Indexed keywords

ANALYTIC HIERARCHY PROCESS; DECISION MAKING; FUZZY SETS; HIERARCHICAL SYSTEMS; PROBABILITY DISTRIBUTIONS; STOCHASTIC SYSTEMS;

EID: 84898544203     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2014.02.077     Document Type: Article
Times cited : (64)

References (56)
  • 1
    • 34147190818 scopus 로고    scopus 로고
    • A Bayesian priorization procedure for AHP-group decision making
    • DOI 10.1016/j.ejor.2006.07.025, PII S0377221706008034
    • 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 (Pubitemid 46561157)
    • (2007) European Journal of Operational Research , vol.182 , Issue.1 , pp. 367-382
    • Altuzarra, A.1    Moreno-Jimenez, J.M.2    Salvador, M.3
  • 2
    • 78651444787 scopus 로고    scopus 로고
    • Consensus building in AHP-group decision making: A bayesian approach
    • A. Altuzarra, J.M. Moreno-Jiménez, 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-Jiménez, J.M.2    Salvador, M.3
  • 3
    • 79959771557 scopus 로고    scopus 로고
    • A fuzzy reasoning and fuzzy-analytical hierarchy process based approach to the process of railway risk information: A railway risk management system
    • M. An, Y. Chen, and C.J. Baker A fuzzy reasoning and fuzzy-analytical hierarchy process based approach to the process of railway risk information: a railway risk management system Inf. Sci. 181 2011 3946 3966
    • (2011) Inf. Sci. , vol.181 , pp. 3946-3966
    • An, M.1    Chen, Y.2    Baker, C.J.3
  • 4
    • 0024901948 scopus 로고
    • Approximate articulation of preference and priority derivation
    • DOI 10.1016/0377-2217(89)90231-2
    • A. Arbel Approximate articulation of preference and priority derivation Eur. J. Oper. Res. 43 1989 317 326 (Pubitemid 20634228)
    • (1989) European Journal of Operational Research , vol.43 , Issue.3 , pp. 317-326
    • Arbel Ami1
  • 5
    • 4944233123 scopus 로고    scopus 로고
    • Modified analytic hierarchy process to incorporate uncertainty and managerial aspects
    • R. Banuelas, and J. Antony Modified analytic hierarchy process to incorporate uncertainty and managerial aspects Int. J. Prod. Res. 42 2004 3851 3872
    • (2004) Int. J. Prod. Res. , vol.42 , pp. 3851-3872
    • Banuelas, R.1    Antony, J.2
  • 6
    • 33845540886 scopus 로고    scopus 로고
    • Application of stochastic analytic hierarchy process within a domestic appliance manufacturer
    • R. Banuelas, and J. Antony Application of stochastic analytic hierarchy process within a domestic appliance manufacturer J. Oper. Res. Soc. 58 2006 29 38
    • (2006) J. Oper. Res. Soc. , vol.58 , pp. 29-38
    • Banuelas, R.1    Antony, J.2
  • 7
    • 0007638906 scopus 로고
    • Maximum likelihood estimation for the beta distribution
    • R. Beckman, and G.T. Jen Maximum likelihood estimation for the beta distribution J. Stat. Comput. Simul. 7 1978 253 258
    • (1978) J. Stat. Comput. Simul. , vol.7 , pp. 253-258
    • Beckman, R.1    Jen, G.T.2
  • 8
    • 77950906444 scopus 로고    scopus 로고
    • The analytic hierarchy process and the theory of measurement
    • M. Bernasconi, C. Choirat, and R. Seri The analytic hierarchy process and the theory of measurement Manage. Sci. 56 2010 699 711
    • (2010) Manage. Sci. , vol.56 , pp. 699-711
    • Bernasconi, M.1    Choirat, C.2    Seri, R.3
  • 9
    • 44649149897 scopus 로고
    • Sequential quadratic programming
    • P.T. Boggs, and J.W. Tolle Sequential quadratic programming Acta Numer. 4 1995 1 51
    • (1995) Acta Numer. , vol.4 , pp. 1-51
    • Boggs, P.T.1    Tolle, J.W.2
  • 10
    • 84974863455 scopus 로고
    • A goal programming method for generating priority vectors
    • N. Bryson A goal programming method for generating priority vectors J. Oper. Res. Soc. 46 1995 641 648
    • (1995) J. Oper. Res. Soc. , vol.46 , pp. 641-648
    • Bryson, N.1
  • 11
    • 84866263500 scopus 로고    scopus 로고
    • A linguistic evaluation approach for universal design
    • J.R. Chou A linguistic evaluation approach for universal design Inf. Sci. 190 2012 76 94
    • (2012) Inf. Sci. , vol.190 , pp. 76-94
    • Chou, J.R.1
  • 12
    • 38349073493 scopus 로고    scopus 로고
    • Developing a fuzzy Analytic Hierarchy Process (AHP) model for behavior-based safety management
    • M. Dagdeviren, and I. Yüksel Developing a fuzzy Analytic Hierarchy Process (AHP) model for behavior-based safety management Inf. Sci. 178 2008 1717 1733
    • (2008) Inf. Sci. , vol.178 , pp. 1717-1733
    • Dagdeviren, M.1    Yüksel, I.2
  • 13
    • 43949111039 scopus 로고    scopus 로고
    • A min-max goal programming approach to priority derivation in AHP with interval judgements
    • D.K. Despotis, and D. Derpanis A min-max goal programming approach to priority derivation in AHP with interval judgements Int. J. Inf. Technol. Dec. Making 7 2008 175 182
    • (2008) Int. J. Inf. Technol. Dec. Making , vol.7 , pp. 175-182
    • Despotis, D.K.1    Derpanis, D.2
  • 14
    • 79551619977 scopus 로고    scopus 로고
    • Selecting the individual numerical scale and prioritization method in the analytic hierarchy process: A 2-tuple fuzzy linguistic approach
    • Y. Dong, W.C. Hong, Y. Xu, and S. Yu Selecting the individual numerical scale and prioritization method in the analytic hierarchy process: A 2-tuple fuzzy linguistic approach IEEE Trans. Fuzzy Syst. 19 2011 13 25
    • (2011) IEEE Trans. Fuzzy Syst. , vol.19 , pp. 13-25
    • Dong, Y.1    Hong, W.C.2    Xu, Y.3    Yu, S.4
  • 15
    • 35348935988 scopus 로고    scopus 로고
    • A comparative study of the numerical scales and the prioritization methods in AHP
    • DOI 10.1016/j.ejor.2007.01.044, PII S0377221707001373
    • Y. Dong, Y. Xu, H. 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 (Pubitemid 47600519)
    • (2008) European Journal of Operational Research , vol.186 , Issue.1 , pp. 229-242
    • Dong, Y.1    Xu, Y.2    Li, H.3    Dai, M.4
  • 16
    • 70350732830 scopus 로고    scopus 로고
    • Decision making with interval probabilities
    • P. Guo, and H. Tanaka Decision making with interval probabilities Eur. J. Oper. Res. 203 2010 444 454
    • (2010) Eur. J. Oper. Res. , vol.203 , pp. 444-454
    • Guo, P.1    Tanaka, H.2
  • 17
    • 84865717833 scopus 로고    scopus 로고
    • Eliciting dual interval probabilities from interval comparison matrices
    • P. Guo, and Y. Wang Eliciting dual interval probabilities from interval comparison matrices Inf. Sci. 190 2011 17 26
    • (2011) Inf. Sci. , vol.190 , pp. 17-26
    • Guo, P.1    Wang, Y.2
  • 18
    • 1642573291 scopus 로고    scopus 로고
    • Decision Making with Uncertain Judgments: A Stochastic Formulation of the Analytic Hierarchy Process
    • DOI 10.1111/j.1540-5414.2003.02274.x
    • E.D. Hahn Decision making with uncertain judgments: a stochastic formulation of the analytic hierarchy process Decision Sciences 34 2003 443 466 (Pubitemid 38126310)
    • (2003) Decision Sciences , vol.34 , Issue.3 , pp. 443-466
    • Hahn, E.D.1
  • 19
    • 0032188744 scopus 로고    scopus 로고
    • A statistical approach to the analytic hierarchy process with interval judgements. (I). Distributions on feasible regions
    • PII S0377221797002452
    • L.M. Haines A statistical approach to the analytic hierarchy process with interval judgements: distributions on feasible regions Eur. J. Oper. Res. 110 1998 112 125 (Pubitemid 128401887)
    • (1998) European Journal of Operational Research , vol.110 , Issue.1 , pp. 112-125
    • Haines, L.M.1
  • 20
    • 0006062916 scopus 로고
    • Order effects in belief updating: The belief-adjustment model
    • R.M. Hogarth, and H.J. Einhorn Order effects in belief updating: the belief-adjustment model Cogn. Psychol. 24 1992 1 55
    • (1992) Cogn. Psychol. , vol.24 , pp. 1-55
    • Hogarth, R.M.1    Einhorn, H.J.2
  • 21
    • 79960028738 scopus 로고    scopus 로고
    • Review of the main developments of the analytic hierarchy process
    • A. Ishizaka, and A. Labib Review of the main developments of the analytic hierarchy process Expert Syst. Appl. 38 2011 14336 14345
    • (2011) Expert Syst. Appl. , vol.38 , pp. 14336-14345
    • Ishizaka, A.1    Labib, A.2
  • 23
    • 0001083779 scopus 로고    scopus 로고
    • The triangular distribution as a proxy for the beta distribution in risk analysis
    • (The Statistician)
    • D. Johnson The triangular distribution as a proxy for the beta distribution in risk analysis J. Roy. Stat. Soc.: Ser. D 46 2002 387 398 (The Statistician)
    • (2002) J. Roy. Stat. Soc.: Ser. D , vol.46 , pp. 387-398
    • Johnson, D.1
  • 24
    • 84884291401 scopus 로고    scopus 로고
    • Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation
    • K. Khalili-Damghani, S. Sadi-Nezhad, and M. Tavana Solving multi-period project selection problems with fuzzy goal programming based on TOPSIS and a fuzzy preference relation Inf. Sci. 252 2013 42 61
    • (2013) Inf. Sci. , vol.252 , pp. 42-61
    • Khalili-Damghani, K.1    Sadi-Nezhad, S.2    Tavana, M.3
  • 25
    • 0026169579 scopus 로고
    • Approximate articulation of preference and priority derivation. A comment
    • DOI 10.1016/0377-2217(91)90174-T
    • M. Kress Approximate articulation of preference and priority derivation - a comment Eur. J. Oper. Res. 52 1991 382 383 (Pubitemid 21679913)
    • (1991) European Journal of Operational Research , vol.52 , Issue.3 , pp. 382-383
    • Kress Moshe1
  • 26
    • 34248578620 scopus 로고    scopus 로고
    • A fuzzy AHP and BSC approach for evaluating performance of IT department in the manufacturing industry in Taiwan
    • DOI 10.1016/j.eswa.2006.08.022, PII S0957417406002582
    • A.H.I. Lee, W.C. Chen, and C.J. Chang A fuzzy AHP and BSC approach for evaluating performance of it department in the manufacturing industry in Taiwan Expert Syst. Appl. 34 2008 96 107 (Pubitemid 46756241)
    • (2008) Expert Systems with Applications , vol.34 , Issue.1 , pp. 96-107
    • Lee, A.H.I.1    Chen, W.-C.2    Chang, C.-J.3
  • 27
    • 58349096244 scopus 로고    scopus 로고
    • Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers
    • A.H.I. Lee, H.Y. Kang, and C.T. Chang Fuzzy multiple goal programming applied to TFT-LCD supplier selection by downstream manufacturers Expert Syst. Appl. 36 2009 6318 6325
    • (2009) Expert Syst. Appl. , vol.36 , pp. 6318-6325
    • Lee, A.H.I.1    Kang, H.Y.2    Chang, C.T.3
  • 29
    • 0033116630 scopus 로고    scopus 로고
    • Interval estimation of priorities in the AHP
    • S. Lipovetsky, and A. Tishler Interval estimation of priorities in the AHP Eur. J. Oper. Res. 114 1999 153 164
    • (1999) Eur. J. Oper. Res. , vol.114 , pp. 153-164
    • Lipovetsky, S.1    Tishler, A.2
  • 30
    • 80755146096 scopus 로고    scopus 로고
    • A new method of obtaining the priority weights from an interval fuzzy preference relation
    • F. Liu, W.G. Zhang, and J.H. Fu A new method of obtaining the priority weights from an interval fuzzy preference relation Inf. Sci. 185 2012 32 42
    • (2012) Inf. Sci. , vol.185 , pp. 32-42
    • Liu, F.1    Zhang, W.G.2    Fu, J.H.3
  • 31
    • 84855419445 scopus 로고    scopus 로고
    • A novel approach to probability distribution aggregation
    • X. Liu, A. Ghorpade, Y. Tu, and W. Zhang A novel approach to probability distribution aggregation Inf. Sci. 188 2011 269 275
    • (2011) Inf. Sci. , vol.188 , pp. 269-275
    • Liu, X.1    Ghorpade, A.2    Tu, Y.3    Zhang, W.4
  • 32
    • 0033886936 scopus 로고    scopus 로고
    • Fuzzy Programming Method for deriving priorities in the Analytic Hierarchy Process
    • L. Mikhailov A fuzzy programming method for deriving priorities in the analytic hierarchy process J. Oper. Res. Soc. 51 2000 341 349 (Pubitemid 30566162)
    • (2000) Journal of the Operational Research Society , vol.51 , Issue.3 , pp. 341-349
    • Mikhailov, L.1
  • 33
    • 3343026340 scopus 로고    scopus 로고
    • A fuzzy approach to deriving priorities from interval pairwise comparison judgements
    • L. Mikhailov A fuzzy approach to deriving priorities from interval pairwise comparison judgements Eur. J. Oper. Res. 159 2004 687 704
    • (2004) Eur. J. Oper. Res. , vol.159 , pp. 687-704
    • Mikhailov, L.1
  • 34
    • 38249005594 scopus 로고
    • A probabilistic study of preference structures in the analytic hierarchy process with interval judgments
    • J.M. Moreno-Jimenez, and L.G. Vargas A probabilistic study of preference structures in the analytic hierarchy process with interval judgments Math. Comput. Modell. 17 1993 73 81
    • (1993) Math. Comput. Modell. , vol.17 , pp. 73-81
    • Moreno-Jimenez, J.M.1    Vargas, L.G.2
  • 37
    • 49449122896 scopus 로고
    • A scaling method for priorities in hierarchical structures
    • T.L. Saaty A scaling method for priorities in hierarchical structures J. Math. Psychol. 15 1977 234 281
    • (1977) J. Math. Psychol. , vol.15 , pp. 234-281
    • Saaty, T.L.1
  • 39
    • 0000274220 scopus 로고
    • Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios
    • T.L. Saaty, and L.G. Vargas Comparison of eigenvalue, logarithmic least squares and least squares methods in estimating ratios Math. Modell. 5 1984 309 324
    • (1984) Math. Modell. , vol.5 , pp. 309-324
    • Saaty, T.L.1    Vargas, L.G.2
  • 40
    • 0023432320 scopus 로고
    • Uncertainty and rank order in the analytic hierarchy process
    • T.L. Saaty, and L.G. Vargas Uncertainty and rank order in the analytic hierarchy process Eur. J. Oper. Res. 32 1987 107 117
    • (1987) Eur. J. Oper. Res. , vol.32 , pp. 107-117
    • Saaty, T.L.1    Vargas, L.G.2
  • 41
    • 0029635347 scopus 로고
    • Preference programming through approximate ratio comparisons
    • A.A. Salo, and R.P. Hämäläinen Preference programming through approximate ratio comparisons Eur. J. Oper. Res. 82 1995 458 475
    • (1995) Eur. J. Oper. Res. , vol.82 , pp. 458-475
    • Salo, A.A.1    Hämäläinen, R.P.2
  • 42
    • 84959810873 scopus 로고
    • A behavioral model of rational choice
    • H.A. Simon A behavioral model of rational choice Quart. J. Econ. 69 1955 99 118
    • (1955) Quart. J. Econ. , vol.69 , pp. 99-118
    • Simon, H.A.1
  • 43
    • 0000597948 scopus 로고
    • Theories of bounded rationality
    • H.A. Simon Theories of bounded rationality Dec. Organizat. 1 1972 161 176
    • (1972) Dec. Organizat. , vol.1 , pp. 161-176
    • Simon, H.A.1
  • 44
    • 0040063717 scopus 로고    scopus 로고
    • Stochastic Judgments in the AHP: The Measurement of Rank Reversal Probabilities
    • A. Stam, and A. Silva Stochastic judgments in the AHP: the measurement of rank reversal probabilities Dec. Sci. 28 1997 655 688 (Pubitemid 128000884)
    • (1997) Decision Sciences , vol.28 , Issue.3 , pp. 655-688
    • Stam, A.1    Duarte Silva, A.P.2
  • 45
    • 2942559155 scopus 로고    scopus 로고
    • Interval priorities in AHP by interval regression analysis
    • K. Sugihara, H. Ishii, and H. Tanaka Interval priorities in AHP by interval regression analysis Eur. J. Oper. Res. 158 2004 745 754
    • (2004) Eur. J. Oper. Res. , vol.158 , pp. 745-754
    • Sugihara, K.1    Ishii, H.2    Tanaka, H.3
  • 46
    • 84155195010 scopus 로고    scopus 로고
    • Multicriteria decision-making based on goal programming and fuzzy analytic hierarchy process: An application to capital budgeting problem
    • Y.C. Tang, and C.T. Chang Multicriteria decision-making based on goal programming and fuzzy analytic hierarchy process: an application to capital budgeting problem Knowl.-Based Syst. 26 2012 288 293
    • (2012) Knowl.-Based Syst. , vol.26 , pp. 288-293
    • Tang, Y.C.1    Chang, C.T.2
  • 47
    • 47849093865 scopus 로고    scopus 로고
    • Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP
    • T.C. Wang, and Y.H. Chen Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP Inf. Sci. 178 2008 3755 3765
    • (2008) Inf. Sci. , vol.178 , pp. 3755-3765
    • Wang, T.C.1    Chen, Y.H.2
  • 48
    • 32644432250 scopus 로고    scopus 로고
    • On lexicographic goal programming method for generating weights from inconsistent interval comparison matrices
    • Y.M. Wang On lexicographic goal programming method for generating weights from inconsistent interval comparison matrices Appl. Math. Comput. 173 2006 985 991
    • (2006) Appl. Math. Comput. , vol.173 , pp. 985-991
    • Wang, Y.M.1
  • 49
    • 33751043914 scopus 로고    scopus 로고
    • An eigenvector method for generating normalized interval and fuzzy weights
    • Y.M. Wang, and K.S. Chin An eigenvector method for generating normalized interval and fuzzy weights Appl. Math. Comput. 181 2006 1257 1275
    • (2006) Appl. Math. Comput. , vol.181 , pp. 1257-1275
    • Wang, Y.M.1    Chin, K.S.2
  • 50
    • 79951949309 scopus 로고    scopus 로고
    • Fuzzy analytic hierarchy process: A logarithmic fuzzy preference programming methodology
    • Y.M. Wang, and K.S. Chin Fuzzy analytic hierarchy process: a logarithmic fuzzy preference programming methodology Int. J. Approx. Reason. 52 2011 541 553
    • (2011) Int. J. Approx. Reason. , vol.52 , pp. 541-553
    • Wang, Y.M.1    Chin, K.S.2
  • 51
    • 33750487463 scopus 로고    scopus 로고
    • A goal programming method for obtaining interval weights from an interval comparison matrix
    • DOI 10.1016/j.ejor.2005.10.066, PII S0377221705009203
    • Y.M. Wang, and T. Elhag A goal programming method for obtaining interval weights from an interval comparison matrix Eur. J. Oper. Res. 177 2007 458 471 (Pubitemid 44647615)
    • (2007) European Journal of Operational Research , vol.177 , Issue.1 , pp. 458-471
    • Wang, Y.-M.1    Elhag, T.M.S.2
  • 52
    • 24944444234 scopus 로고    scopus 로고
    • Interval weight generation approaches based on consistency test and interval comparison matrices
    • Y.M. Wang, J.B. Yang, and D.L. Xu Interval weight generation approaches based on consistency test and interval comparison matrices Appl. Math. Comput. 167 2005 252 273
    • (2005) Appl. Math. Comput. , vol.167 , pp. 252-273
    • Wang, Y.M.1    Yang, J.B.2    Xu, D.L.3
  • 53
    • 17644384058 scopus 로고    scopus 로고
    • A two-stage logarithmic goal programming method for generating weights from interval comparison matrices
    • Y.M. Wang, J.B. Yang, and D.L. Xu A two-stage logarithmic goal programming method for generating weights from interval comparison matrices Fuzzy Sets Syst. 152 2005 475 498
    • (2005) Fuzzy Sets Syst. , vol.152 , pp. 475-498
    • Wang, Y.M.1    Yang, J.B.2    Xu, D.L.3
  • 54
    • 84862823224 scopus 로고    scopus 로고
    • Goal programming approaches to deriving interval weights based on interval fuzzy preference relations
    • Z.J. Wang, and K.W. Li Goal programming approaches to deriving interval weights based on interval fuzzy preference relations Inf. Sci. 193 2012 180 198
    • (2012) Inf. Sci. , vol.193 , pp. 180-198
    • Wang, Z.J.1    Li, K.W.2
  • 55
    • 2342660235 scopus 로고    scopus 로고
    • Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation
    • Z. Xu Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation Int. J. Approx. Reason. 36 2004 261 270
    • (2004) Int. J. Approx. Reason. , vol.36 , pp. 261-270
    • Xu, Z.1
  • 56
    • 84870061150 scopus 로고    scopus 로고
    • How to handle uncertainties in ahp: The cloud delphi hierarchical analysis
    • X. Yang, L. Yan, and L. Zeng How to handle uncertainties in ahp: the cloud delphi hierarchical analysis Inf. Sci. 222 2012 384 404
    • (2012) Inf. Sci. , vol.222 , pp. 384-404
    • Yang, X.1    Yan, L.2    Zeng, L.3


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