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Volumn 216, Issue , 2013, Pages 108-133

Algorithms for improving consistency or consensus of reciprocal [0,1]-valued preference relations

Author keywords

Consensus; Fuzzy set; Group decision making; Multiplicative consistency; Reciprocal 0,1 valued preference relation

Indexed keywords

CONSENSUS; CONSISTENCY LEVEL; DECISION MAKERS; FUZZY PREFERENCE RELATIONS; GROUP DECISION MAKING; MULTIPLICATIVE CONSISTENCY; VALUED PREFERENCE RELATIONS;

EID: 84873714401     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2012.09.016     Document Type: Article
Times cited : (98)

References (40)
  • 1
    • 0037449042 scopus 로고    scopus 로고
    • The geometric consistency index: Approximated thresholds
    • J. Aguarón, and J.M. Moreno-Jiménez The geometric consistency index: approximated thresholds Eur. J. Oper. Res. 147 2003 137 145
    • (2003) Eur. J. Oper. Res. , vol.147 , pp. 137-145
    • Aguarón, J.1    Moreno-Jiménez, J.M.2
  • 2
    • 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
  • 4
    • 60549093892 scopus 로고    scopus 로고
    • Cardinal consistency of reciprocal preference relation: A characterization of multiplicative transitivity
    • F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera Cardinal consistency of reciprocal preference relation: 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
  • 5
    • 70349628445 scopus 로고    scopus 로고
    • A note on two methods for estimating missing pairwise preference values
    • F. Chiclana, E. Herrera-Viedma, and S. Alonso A note on two methods for estimating missing pairwise preference values IEEE Trans. Syst. Man Cybern. 39 2009 1628 1633
    • (2009) IEEE Trans. Syst. Man Cybern. , vol.39 , pp. 1628-1633
    • Chiclana, F.1    Herrera-Viedma, E.2    Alonso, S.3
  • 6
    • 0001490143 scopus 로고
    • A note on the analysis of subjective judgement matrices
    • G. Crawford, and C. Williams A note on the analysis of subjective judgement matrices J. Math. Psychol. 29 1985 387 405
    • (1985) J. Math. Psychol. , vol.29 , pp. 387-405
    • Crawford, G.1    Williams, C.2
  • 8
    • 17444394829 scopus 로고    scopus 로고
    • Transitivity frameworks for reciprocal relations: Cycle-transitivity versus FG-transitivity
    • B. De Baets, and H. De Meyer Transitivity frameworks for reciprocal relations: cycle-transitivity versus FG-transitivity Fuzzy Sets Syst. 152 2005 249 270
    • (2005) Fuzzy Sets Syst. , vol.152 , pp. 249-270
    • De Baets, B.1    De Meyer, H.2
  • 10
    • 77954878399 scopus 로고    scopus 로고
    • On the cycle-transitivity of the mutual rank probability relation of a poset
    • B. De Baets, H. De Meyer, and K. De Loof On the cycle-transitivity of the mutual rank probability relation of a poset Fuzzy Sets Syst. 161 2010 2695 2708
    • (2010) Fuzzy Sets Syst. , vol.161 , pp. 2695-2708
    • De Baets, B.1    De Meyer, H.2    De Loof, K.3
  • 12
    • 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 Decision Support Syst. 49 2010 281 289
    • (2010) Decision Support Syst. , vol.49 , pp. 281-289
    • Dong, Y.C.1    Zhang, G.Q.2    Hong, W.C.3    Xu, Y.F.4
  • 13
    • 70350716312 scopus 로고    scopus 로고
    • The OWA-based consensus operator under linguistic representation models using position indexes
    • Y.C. Dong, Y.F. Xu, H.Y. Li, and B. Feng The OWA-based consensus operator under linguistic representation models using position indexes Eur. J. Oper. Res. 203 2010 455 463
    • (2010) Eur. J. Oper. Res. , vol.203 , pp. 455-463
    • Dong, Y.C.1    Xu, Y.F.2    Li, H.Y.3    Feng, B.4
  • 14
    • 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
  • 15
    • 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
  • 16
    • 77951141192 scopus 로고    scopus 로고
    • The group consensus based evidential reasoning approach for multiple attributive group decision analysis
    • C. Fu, and S.L. Yang The group consensus based evidential reasoning approach for multiple attributive group decision analysis Eur. J. Oper. Res. 206 2010 601 608
    • (2010) Eur. J. Oper. Res. , vol.206 , pp. 601-608
    • Fu, C.1    Yang, S.L.2
  • 17
    • 34249319440 scopus 로고    scopus 로고
    • Incomplete pairwise comparison and consistency optimization
    • M. Fedrizzi, and S. Giove Incomplete pairwise comparison and consistency optimization Eur. J. Oper. Res. 183 2007 303 313
    • (2007) Eur. J. Oper. Res. , vol.183 , pp. 303-313
    • Fedrizzi, M.1    Giove, S.2
  • 18
    • 36249017428 scopus 로고    scopus 로고
    • Least-square method to priority of the fuzzy preference relations with incomplete information
    • Z.W. Gong Least-square method to priority of the fuzzy preference relations with incomplete information Int. J. Approx. Reason. 47 2008 258 264
    • (2008) Int. J. Approx. Reason. , vol.47 , pp. 258-264
    • Gong, Z.W.1
  • 19
    • 0036589501 scopus 로고    scopus 로고
    • A consensus model for multiperson decision making with different preference structures
    • E. Herrera-Viedma, F. Herrera, F. Chiclana, and M. Luque A consensus model for multiperson decision making with different preference structures IEEE Trans. Syst. Man Cybern. 34 2002 394 402
    • (2002) IEEE Trans. Syst. Man Cybern. , vol.34 , pp. 394-402
    • Herrera-Viedma, E.1    Herrera, F.2    Chiclana, F.3    Luque, M.4
  • 21
    • 27644590275 scopus 로고    scopus 로고
    • A consensus support system model for group decision-making problems with multigranular linguistic preference relations
    • E. Herrera-Viedma, L. Martínez, F. Mata, and F. Chiclana A consensus support system model for group decision-making problems with multigranular linguistic preference relations IEEE Trans. Fuzzy Syst. 13 2005 644 658
    • (2005) IEEE Trans. Fuzzy Syst. , vol.13 , pp. 644-658
    • Herrera-Viedma, E.1    Martínez, L.2    Mata, F.3    Chiclana, F.4
  • 22
    • 35348894404 scopus 로고    scopus 로고
    • A consensus model for group decision making with incomplete fuzzy preference relations
    • E. Herrera-Viedma, S. Alonso, F. Chiclana, and F. Herrera A consensus model for group decision making with incomplete fuzzy preference relations IEEE Trans. Fuzzy Syst. 15 2007 155 178
    • (2007) IEEE Trans. Fuzzy Syst. , vol.15 , pp. 155-178
    • Herrera-Viedma, E.1    Alonso, S.2    Chiclana, F.3    Herrera, F.4
  • 23
    • 33847681018 scopus 로고    scopus 로고
    • Group decision-making model with incomplete fuzzy preference relations based on additive consistency
    • E. Herrera-Viedma, F. Chiclana, F. Herrera, and S. Alonso Group decision-making model with incomplete fuzzy preference relations based on additive consistency IEEE Trans. Syst. Man Cybern. 37 2007 176 189
    • (2007) IEEE Trans. Syst. Man Cybern. , vol.37 , pp. 176-189
    • Herrera-Viedma, E.1    Chiclana, F.2    Herrera, F.3    Alonso, S.4
  • 24
    • 27344433112 scopus 로고    scopus 로고
    • A method for repairing the inconsistency of fuzzy preference relations
    • J. Ma, Z.P. Fan, Y.P. Jiang, J.Y. Mao, and L. Ma A method for repairing the inconsistency of fuzzy preference relations Fuzzy Sets Syst. 157 2006 20 33
    • (2006) Fuzzy Sets Syst. , vol.157 , pp. 20-33
    • Ma, J.1    Fan, Z.P.2    Jiang, Y.P.3    Mao, J.Y.4    Ma, L.5
  • 25
    • 65549115624 scopus 로고    scopus 로고
    • An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context
    • F. Mata, L. Martínez, and E. Herrera-Viedma An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context IEEE Trans. Fuzzy Syst. 17 2009 279 290
    • (2009) IEEE Trans. Fuzzy Syst. , vol.17 , pp. 279-290
    • Mata, F.1    Martínez, L.2    Herrera-Viedma, E.3
  • 26
    • 84859587805 scopus 로고    scopus 로고
    • Least square completion and inconsistency repair methods for additively consistent fuzzy preference relations
    • X.W. Liu, Y.W. Pan, Y.J. Xu, and S. Yu Least square completion and inconsistency repair methods for additively consistent fuzzy preference relations Fuzzy Sets Syst. 198 2012 1 19
    • (2012) Fuzzy Sets Syst. , vol.198 , pp. 1-19
    • Liu, X.W.1    Pan, Y.W.2    Xu, Y.J.3    Yu, S.4
  • 27
    • 0000688366 scopus 로고
    • Decision-making with a fuzzy preference relation
    • S.A. Orlovsky Decision-making with a fuzzy preference relation Fuzzy Sets Syst. 1 1978 155 167
    • (1978) Fuzzy Sets Syst. , vol.1 , pp. 155-167
    • Orlovsky, S.A.1
  • 28
    • 80052967059 scopus 로고    scopus 로고
    • Aggregation of monotone reciprocal relations with application to group decision making
    • M. Rademaker, and B. De Baets Aggregation of monotone reciprocal relations with application to group decision making Fuzzy Sets Syst. 184 2011 29 51
    • (2011) Fuzzy Sets Syst. , vol.184 , pp. 29-51
    • Rademaker, M.1    De Baets, B.2
  • 31
    • 84855764950 scopus 로고    scopus 로고
    • A heuristic method to rectify intransitive judgments in pairwise comparison matrices
    • S. Siraj, L. Mikhailov, and J. Keane A heuristic method to rectify intransitive judgments in pairwise comparison matrices Eur. J. Oper. Res. 216 2012 420 428
    • (2012) Eur. J. Oper. Res. , vol.216 , pp. 420-428
    • Siraj, S.1    Mikhailov, L.2    Keane, J.3
  • 32
    • 0021374330 scopus 로고
    • Fuzzy preference orderings in group decision-making
    • T. Tanino Fuzzy preference orderings in group decision-making Fuzzy Sets Syst. 12 1984 117 131
    • (1984) Fuzzy Sets Syst. , vol.12 , pp. 117-131
    • Tanino, T.1
  • 33
    • 35649024273 scopus 로고    scopus 로고
    • Group decision analysis based on fuzzy preference relations: Logarithmic and geometric least squares methods
    • Y.M. Wang, and Z.P. Fan Group decision analysis based on fuzzy preference relations: Logarithmic and geometric least squares methods Appl. Math. Comput. 194 2007 108 119
    • (2007) Appl. Math. Comput. , vol.194 , pp. 108-119
    • Wang, Y.M.1    Fan, Z.P.2
  • 34
    • 84864625783 scopus 로고    scopus 로고
    • A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures
    • Z.B. Wu, and J.P. Xu A concise consensus support model for group decision making with reciprocal preference relations based on deviation measures Fuzzy Sets Syst. 206 2012 58 73
    • (2012) Fuzzy Sets Syst. , vol.206 , pp. 58-73
    • Wu, Z.B.1    Xu, J.P.2
  • 35
    • 84873709420 scopus 로고    scopus 로고
    • On consensus in group decision making based on fuzzy preference relations
    • E. Herrera-Viedma, J.L. García-Lapresta, J. Kacprzyk, H. Nurmi, M. Fedrizzi, S. Zadrozny (Eds.) Springer-Verlag
    • M.M. Xia, Z.S. Xu, On consensus in group decision making based on fuzzy preference relations. In: E. Herrera-Viedma, J.L. García-Lapresta, J. Kacprzyk, H. Nurmi, M. Fedrizzi, S. Zadrozny (Eds.), Consensual Processes, Springer-Verlag, 2010.
    • (2010) Consensual Processes
    • Xia, M.M.1    Xu, Z.S.2
  • 36
    • 84870253293 scopus 로고    scopus 로고
    • Logarithmic least squares method to priority for group decision making within complete fuzzy preference relations
    • doi:, in press
    • Y.J. Xu, R. Patnayakuni, H. Wang, Logarithmic least squares method to priority for group decision making within complete fuzzy preference relations, Appl. Math. Modelling; doi: http://dx.doi.org/10.1016/j.apm.2012.05.010, in press.
    • Appl. Math. Modelling
    • Xu, Y.J.1    Patnayakuni, R.2    Wang, H.3
  • 37
    • 67349174683 scopus 로고    scopus 로고
    • An automatic approach to reaching consensus in multiple attribute group decision making
    • Z.S. Xu An automatic approach to reaching consensus in multiple attribute group decision making Comput. Ind. Eng. 56 2009 1369 1374
    • (2009) Comput. Ind. Eng. , vol.56 , pp. 1369-1374
    • Xu, Z.S.1
  • 38
    • 77958106873 scopus 로고    scopus 로고
    • Group consensus algorithms based on preference relations
    • Z.S. Xu, and X.Q. Cai Group consensus algorithms based on preference relations Inf. Sci. 181 2011 150 162
    • (2011) Inf. Sci. , vol.181 , pp. 150-162
    • Xu, Z.S.1    Cai, X.Q.2
  • 39
    • 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
  • 40
    • 34248666540 scopus 로고
    • Fuzzy sets
    • L.A. Zadeh Fuzzy sets Inf. Control 8 1965 338 353
    • (1965) Inf. Control , vol.8 , pp. 338-353
    • Zadeh, L.A.1


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