메뉴 건너뛰기




Volumn 73, Issue , 2015, Pages 111-123

A new method for group decision making with incomplete fuzzy preference relations

Author keywords

Additive consistency; Analytic hierarchy process; Fuzzy preference relation; Goal programming model; Group decision making

Indexed keywords

ANALYTIC HIERARCHY PROCESS; ITERATIVE METHODS; LINEAR PROGRAMMING; MULTIOBJECTIVE OPTIMIZATION;

EID: 84915747480     PISSN: 09507051     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.knosys.2014.09.011     Document Type: Article
Times cited : (89)

References (86)
  • 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
    • 38949200554 scopus 로고    scopus 로고
    • A consistency based procedure to estimate missing pairwise preference values
    • S. Alonso, F. Chiclana, F. Herrera, and E. Herrera-Viedma A consistency based procedure to estimate missing pairwise preference values Int. J. Intell. Syst. 23 2008 155 175
    • (2008) Int. J. Intell. Syst. , vol.23 , pp. 155-175
    • Alonso, S.1    Chiclana, F.2    Herrera, F.3    Herrera-Viedma, E.4
  • 3
    • 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
  • 4
    • 0033133768 scopus 로고    scopus 로고
    • Generating consensus priority point vectors: A logarithmic goal programming approach
    • N. Bryson, and A. Joseph Generating consensus priority point vectors: a logarithmic goal programming approach Comput. Oper. Res. 26 1999 637 643
    • (1999) Comput. Oper. Res. , vol.26 , pp. 637-643
    • Bryson, N.1    Joseph, A.2
  • 5
    • 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
  • 6
    • 12244293407 scopus 로고    scopus 로고
    • Linear programming models for estimating weights in the analytic hierarchy process
    • B. Chandran, B. Golden, and E. Wasil Linear programming models for estimating weights in the analytic hierarchy process Comput. Oper. Res. 32 2005 2235 2254
    • (2005) Comput. Oper. Res. , vol.32 , pp. 2235-2254
    • Chandran, B.1    Golden, B.2    Wasil, E.3
  • 7
    • 84889680086 scopus 로고    scopus 로고
    • Group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency
    • S.M. Chen, T.E. Lin, and L.W. Lee Group decision making using incomplete fuzzy preference relations based on the additive consistency and the order consistency Inf. Sci. 259 2014 1 15
    • (2014) Inf. Sci. , vol.259 , pp. 1-15
    • Chen, S.M.1    Lin, T.E.2    Lee, L.W.3
  • 9
    • 0002262966 scopus 로고    scopus 로고
    • Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations
    • F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations Fuzzy Sets Syst. 97 1998 33 48
    • (1998) Fuzzy Sets Syst. , vol.97 , pp. 33-48
    • Chiclana, F.1    Herrera, F.2    Herrera-Viedma, E.3
  • 10
    • 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
  • 11
    • 0036779311 scopus 로고    scopus 로고
    • A note on the internal consistency of various preference representations
    • F. Chiclana, F. Herrera, and E. Herrera-Viedma A note on the internal consistency of various preference representations Fuzzy Sets Syst. 131 2002 75 78
    • (2002) Fuzzy Sets Syst. , vol.131 , pp. 75-78
    • Chiclana, F.1    Herrera, F.2    Herrera-Viedma, E.3
  • 12
    • 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
  • 14
    • 0001490143 scopus 로고
    • A note on the analysis of subjective judgment matrices
    • G.B. 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.B.1    Williams, C.2
  • 15
    • 84894574962 scopus 로고    scopus 로고
    • Multiperson decision making with different preference representation structures: A direct consensus framework and its properties
    • Y.C. Dong, and H.J. Zhang Multiperson decision making with different preference representation structures: a direct consensus framework and its properties Knowl.-Based Syst. 58 2014 45 57
    • (2014) Knowl.-Based Syst. , vol.58 , pp. 45-57
    • Dong, Y.C.1    Zhang, H.J.2
  • 16
    • 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
  • 17
    • 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
  • 18
    • 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
  • 19
    • 0242364101 scopus 로고    scopus 로고
    • A note on AHP group consistency for the row geometric mean prioritization procedure
    • M.T. Escobar, J. Aguarón, and J.M. Moreno-Jiménez A note on AHP group consistency for the row geometric mean prioritization 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
  • 20
    • 0036288758 scopus 로고    scopus 로고
    • Utility representation of an incomplete preference relation
    • A.O. Efe Utility representation of an incomplete preference relation J. Econ. Theory 104 2002 429 449
    • (2002) J. Econ. Theory , vol.104 , pp. 429-449
    • Efe, A.O.1
  • 21
    • 2042542779 scopus 로고    scopus 로고
    • An optimization method for integrating two kinds of preference information in group decision making
    • Z.P. Fan, S.H. Xiao, and G. H Hu An optimization method for integrating two kinds of preference information in group decision making Comput. Ind. Eng. 46 2004 329 335
    • (2004) Comput. Ind. Eng. , vol.46 , pp. 329-335
    • Fan, Z.P.1    Xiao, S.H.2    Hu, G.H.3
  • 22
    • 0032124178 scopus 로고    scopus 로고
    • Aggregating individual judgements and priorities with the analytic hierarchy process
    • E. Forman, and K. Peniwati Aggregating individual judgements 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
  • 23
    • 84861830581 scopus 로고    scopus 로고
    • The optimal group consensus deviation measure for multiplicative preference relations
    • Z.W. Gong, J. Forrest, Y. Zhao, and Y.J. Yang The optimal group consensus deviation measure for multiplicative preference relations Expert Syst. Appl. 39 2012 11548 11555
    • (2012) Expert Syst. Appl. , vol.39 , pp. 11548-11555
    • Gong, Z.W.1    Forrest, J.2    Zhao, Y.3    Yang, Y.J.4
  • 24
    • 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
  • 25
    • 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
  • 29
    • 0001877416 scopus 로고    scopus 로고
    • A model of consensus in group decision making under linguistic assessments
    • F. Herrera, E. Herrera-Viedma, and J.L. Verdegay A model of consensus in group decision making under linguistic assessments Fuzzy Sets Syst. 78 1996 73 87
    • (1996) Fuzzy Sets Syst. , vol.78 , pp. 73-87
    • Herrera, F.1    Herrera-Viedma, E.2    Verdegay, J.L.3
  • 30
    • 13544267454 scopus 로고    scopus 로고
    • Managing non-homogeneous information in group decision making
    • F. Herrera, L. Martinez, and P.J. Sánchez Managing non-homogeneous information in group decision making Eur. J. Oper. Res. 166 2005 115 132
    • (2005) Eur. J. Oper. Res. , vol.166 , pp. 115-132
    • Herrera, F.1    Martinez, L.2    Sánchez, P.J.3
  • 31
    • 0034476450 scopus 로고    scopus 로고
    • A 2-tuple fuzzy linguistic representation model for computing with words
    • F. Herrera, and L. Martínez A 2-tuple fuzzy linguistic representation model for computing with words IEEE Trans. Fuzzy Syst. 8 6 2000 746 752
    • (2000) IEEE Trans. Fuzzy Syst. , vol.8 , Issue.6 , pp. 746-752
    • Herrera, F.1    Martínez, L.2
  • 32
    • 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 863 877
    • (2007) IEEE Trans. Fuzzy Syst. , vol.15 , pp. 863-877
    • Herrera-Viedma, E.1    Alonso, S.2    Chiclana, F.3    Herrera, F.4
  • 33
    • 0001956893 scopus 로고
    • Group decision making and consensus under fuzzy preferences and fuzzy majority
    • J. Kacprzyk, M. Fedrizzi, and H. Nurmi Group decision making and consensus under fuzzy preferences and fuzzy majority Fuzzy Sets Syst. 49 1992 21 31
    • (1992) Fuzzy Sets Syst. , vol.49 , pp. 21-31
    • Kacprzyk, J.1    Fedrizzi, M.2    Nurmi, H.3
  • 34
    • 0000923807 scopus 로고
    • Group decision making with a fuzzy majority
    • J. Kacprzyk Group decision making with a fuzzy majority Fuzzy Sets Syst. 18 1986 105 118
    • (1986) Fuzzy Sets Syst. , vol.18 , pp. 105-118
    • Kacprzyk, J.1
  • 35
    • 0031385860 scopus 로고    scopus 로고
    • Group decision making procedure considering preference strength under incomplete information
    • S.H. Kim, and B.S. Ahn Group decision making procedure considering preference strength under incomplete information Comput. Oper. Res. 24 1997 1101 1112
    • (1997) Comput. Oper. Res. , vol.24 , pp. 1101-1112
    • Kim, S.H.1    Ahn, B.S.2
  • 36
    • 0032664416 scopus 로고    scopus 로고
    • Interactive group decision making procedure under incomplete information
    • S.H. Kim, and B.S. Ahn Interactive group decision making procedure under incomplete information Eur. J. Oper. Res. 116 1999 498 507
    • (1999) Eur. J. Oper. Res. , vol.116 , pp. 498-507
    • Kim, S.H.1    Ahn, B.S.2
  • 37
    • 0032627691 scopus 로고    scopus 로고
    • An interactive procedure for multiple attribute group decision-making with incomplete information: Range-based approach
    • S.H. Kim, S.H. Choi, and J.K. Kim An interactive procedure for multiple attribute group decision-making with incomplete information: range-based approach Eur. J. Oper. Res. 118 1999 139 152
    • (1999) Eur. J. Oper. Res. , vol.118 , pp. 139-152
    • Kim, S.H.1    Choi, S.H.2    Kim, J.K.3
  • 38
    • 84895057039 scopus 로고    scopus 로고
    • A cosine maximization method for the priority vector derivation
    • G. Kou, and C.S. Lin A cosine maximization method for the priority vector derivation Eur. J. Oper. Res. 235 2014 225 232
    • (2014) Eur. J. Oper. Res. , vol.235 , pp. 225-232
    • Kou, G.1    Lin, C.S.2
  • 39
    • 0000551266 scopus 로고    scopus 로고
    • On the relationship of associative compensatory operators to triangular norms and conorms
    • E.P. Klement, R. Mesiar, and E. Pap On the relationship of associative compensatory operators to triangular norms and conorms Int. J. Uncertain. Fuzz. Knowl. Based Syst. 4 1996 129 144
    • (1996) Int. J. Uncertain. Fuzz. Knowl. Based Syst. , vol.4 , pp. 129-144
    • Klement, E.P.1    Mesiar, R.2    Pap, E.3
  • 40
    • 0020843523 scopus 로고
    • A fuzzy extension of Saaty's priority theory
    • P.J.M. Laarhoven, and W. Pedrycz A fuzzy extension of Saaty's priority theory Fuzzy Sets Syst. 11 1983 229 241
    • (1983) Fuzzy Sets Syst. , vol.11 , pp. 229-241
    • Laarhoven, P.J.M.1    Pedrycz, W.2
  • 41
    • 84861824955 scopus 로고    scopus 로고
    • Group decision making with incomplete fuzzy preference relations based on the additive consistency and the order consistency
    • L.W. Lee Group decision making with incomplete fuzzy preference relations based on the additive consistency and the order consistency Expert Syst. Appl. 39 2012 11666 11676
    • (2012) Expert Syst. Appl. , vol.39 , pp. 11666-11676
    • Lee, L.W.1
  • 42
    • 84985773507 scopus 로고
    • A consistency test for AHP decision makers
    • E.F. Lance, and W.A. Verdini A consistency test for AHP decision makers Decis. Sci. 20 1989 575 590
    • (1989) Decis. Sci. , vol.20 , pp. 575-590
    • Lance, E.F.1    Verdini, W.A.2
  • 43
    • 0034230856 scopus 로고    scopus 로고
    • On consistency and ranking of alternatives in fuzzy AHP
    • L.C. Leung, and D. Cao On consistency and ranking of alternatives in fuzzy AHP Eur. J. Oper. Res. 124 2000 102 113
    • (2000) Eur. J. Oper. Res. , vol.124 , pp. 102-113
    • Leung, L.C.1    Cao, D.2
  • 44
    • 84890122529 scopus 로고    scopus 로고
    • An improved statistical approach for consistency test in AHP
    • C.S. Lin, G. Kou, and D. Ergu An improved statistical approach for consistency test in AHP Ann. Oper. Res. 211 2013 289 299
    • (2013) Ann. Oper. Res. , vol.211 , pp. 289-299
    • Lin, C.S.1    Kou, G.2    Ergu, D.3
  • 45
    • 84895058901 scopus 로고    scopus 로고
    • A statistical approach to measure the consistency level of the pairwise comparison matrix
    • C.S. Lin, G. Kou, D. Ergu, A statistical approach to measure the consistency level of the pairwise comparison matrix, J. Oper. Res. Soc. http://dx.doi.org/10.1057/jors.2013.92.
    • J. Oper. Res. Soc.
    • Lin, C.S.1    Kou, G.2    Ergu, D.3
  • 46
    • 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
  • 47
    • 51449110151 scopus 로고    scopus 로고
    • Improving the effectiveness of knowledge based recommender systems using incomplete linguistic preference relations
    • L. Martínez, L.G. Perez, and M. Barranco Improving the effectiveness of knowledge based recommender systems using incomplete linguistic preference relations Int. J. Uncertain. Fuzz. Knowl.-Based Syst. 16 2008 33 56
    • (2008) Int. J. Uncertain. Fuzz. Knowl.-Based Syst. , vol.16 , pp. 33-56
    • Martínez, L.1    Perez, L.G.2    Barranco, M.3
  • 48
    • 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
  • 49
    • 26444569129 scopus 로고    scopus 로고
    • Linguistic labels for expressing fuzzy preference relations in fuzzy group decision making
    • M.U. Marimin, I. Hatono, and H. Tamura Linguistic labels for expressing fuzzy preference relations in fuzzy group decision making IEEE Trans. Syst. Man Cybern. - Part B: Cybern. 28 1998 205 218
    • (1998) IEEE Trans. Syst. Man Cybern. - Part B: Cybern. , vol.28 , pp. 205-218
    • Marimin, M.U.1    Hatono, I.2    Tamura, H.3
  • 50
    • 79957939200 scopus 로고    scopus 로고
    • A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process
    • S.M. Mirhedayatian, and R.F. Saen A new approach for weight derivation using data envelopment analysis in the analytic hierarchy process J. Oper. Res. Soc. 62 2011 1585 1595
    • (2011) J. Oper. Res. Soc. , vol.62 , pp. 1585-1595
    • Mirhedayatian, S.M.1    Saen, R.F.2
  • 51
    • 0000688366 scopus 로고
    • Decision-making with a fuzzy preference relation
    • S. 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.1
  • 52
    • 70449533851 scopus 로고    scopus 로고
    • Dealing with incomplete information in a fuzzy linguistic recommender system to disseminate information in university digital libraries
    • C. Porcel, and E. Herrera-Viedma Dealing with incomplete information in a fuzzy linguistic recommender system to disseminate information in university digital libraries Knowl.-Based Syst. 23 2010 32 39
    • (2010) Knowl.-Based Syst. , vol.23 , pp. 32-39
    • Porcel, C.1    Herrera-Viedma, E.2
  • 53
    • 10744227487 scopus 로고    scopus 로고
    • A new measure of consistency for positive reciprocal matrices
    • P. Peláez, and M. Lamata A new measure of consistency for positive reciprocal matrices Comput. Math. Appl. 46 2003 1839 1845
    • (2003) Comput. Math. Appl. , vol.46 , pp. 1839-1845
    • Peláez, P.1    Lamata, M.2
  • 54
    • 26444618123 scopus 로고    scopus 로고
    • Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process
    • R. Ramanathan Data envelopment analysis for weight derivation and aggregation in the analytic hierarchy process Comput. Oper. Res. 33 2006 1289 1307
    • (2006) Comput. Oper. Res. , vol.33 , pp. 1289-1307
    • Ramanathan, R.1
  • 55
    • 77953988900 scopus 로고    scopus 로고
    • Using linguistic incomplete preference relations to cold start recommendations
    • R.M. Rodriguez, M. Espinilla, and P.J. Sanchez Using linguistic incomplete preference relations to cold start recommendations Internet Res. 20 2010 296 315
    • (2010) Internet Res. , vol.20 , pp. 296-315
    • Rodriguez, R.M.1    Espinilla, M.2    Sanchez, P.J.3
  • 56
    • 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. Model. 5 1984 309 324
    • (1984) Math. Model. , vol.5 , pp. 309-324
    • Saaty, T.L.1    Vargas, L.G.2
  • 58
    • 0037448775 scopus 로고    scopus 로고
    • Decision-making with the AHP: Why is the principal eigenvector necessary
    • T.L. Saaty Decision-making with the AHP: why is the principal eigenvector necessary Eur. J. Oper. Res. 145 2003 85 91
    • (2003) Eur. J. Oper. Res. , vol.145 , pp. 85-91
    • Saaty, T.L.1
  • 59
    • 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
  • 60
    • 0344438201 scopus 로고
    • Fuzzy preference relations in group decision making
    • J. Kacprzyk, M. Roubens, Springer-Verlag Berlin
    • T. Tanino Fuzzy preference relations in group decision making J. Kacprzyk, M. Roubens, Non-Conventional Preference Relations in Decision Making 1988 Springer-Verlag Berlin 54 71
    • (1988) Non-Conventional Preference Relations in Decision Making , pp. 54-71
    • Tanino, T.1
  • 61
    • 43849099043 scopus 로고    scopus 로고
    • The consistency index in reciprocal matrices: Comparison of deterministic and statistical approaches
    • L.G. Vargas The consistency index in reciprocal matrices: comparison of deterministic and statistical approaches Eur. J. Oper. Res. 191 2008 454 463
    • (2008) Eur. J. Oper. Res. , vol.191 , pp. 454-463
    • Vargas, L.G.1
  • 62
    • 80052949129 scopus 로고    scopus 로고
    • A linear programming approximation to the eigenvector method in the analytic hierarchy process
    • Y.M. Wang, and K.S. Chin A linear programming approximation to the eigenvector method in the analytic hierarchy process Inf. Sci. 181 2011 5240 5248
    • (2011) Inf. Sci. , vol.181 , pp. 5240-5248
    • Wang, Y.M.1    Chin, K.S.2
  • 63
    • 34547843053 scopus 로고    scopus 로고
    • Priority estimation in the AHP through maximization of correlation coefficient
    • Y.M. Wang, C. Parkan, and Y. Luo Priority estimation in the AHP through maximization of correlation coefficient Appl. Math. Model. 31 2007 2711 2718
    • (2007) Appl. Math. Model. , vol.31 , pp. 2711-2718
    • Wang, Y.M.1    Parkan, C.2    Luo, Y.3
  • 64
    • 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
  • 65
    • 84897660200 scopus 로고    scopus 로고
    • A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations
    • J. Wu, and F. Chiclana A social network analysis trust-consensus based approach to group decision-making problems with interval-valued fuzzy reciprocal preference relations Knowl.-Based Syst. 59 2014 97 107
    • (2014) Knowl.-Based Syst. , vol.59 , pp. 97-107
    • Wu, J.1    Chiclana, F.2
  • 66
    • 84901848154 scopus 로고    scopus 로고
    • Visual information feedback mechanism and attitudinal prioritisation method for group decision making with triangular fuzzy complementary preference relations
    • J. Wu, and F. Chiclana Visual information feedback mechanism and attitudinal prioritisation method for group decision making with triangular fuzzy complementary preference relations Inf. Sci. 279 2014 716 734
    • (2014) Inf. Sci. , vol.279 , pp. 716-734
    • Wu, J.1    Chiclana, F.2
  • 67
    • 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
  • 68
    • 70349759368 scopus 로고    scopus 로고
    • Normalizing rank aggregation method for priority of a fuzzy preference relation and its effectiveness
    • Y.J. Xu, Q.L. Da, and L.H. Liu Normalizing rank aggregation method for priority of a fuzzy preference relation and its effectiveness Int. J. Approx. Reason. 50 2009 1287 1297
    • (2009) Int. J. Approx. Reason. , vol.50 , pp. 1287-1297
    • Xu, Y.J.1    Da, Q.L.2    Liu, L.H.3
  • 69
    • 84870995366 scopus 로고    scopus 로고
    • The ordinal consistency of a fuzzy preference relation
    • Y.J. Xu, R. Patnayakuni, and H.M. Wang The ordinal consistency of a fuzzy preference relation Inf. Sci. 224 2013 152 164
    • (2013) Inf. Sci. , vol.224 , pp. 152-164
    • Xu, Y.J.1    Patnayakuni, R.2    Wang, H.M.3
  • 70
    • 84870253293 scopus 로고    scopus 로고
    • Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations
    • Y.J. Xu, R. Patnayakuni, and H.M. Wang Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations Appl. Math. Model. 37 2013 2139 2152
    • (2013) Appl. Math. Model. , vol.37 , pp. 2139-2152
    • Xu, Y.J.1    Patnayakuni, R.2    Wang, H.M.3
  • 71
    • 84885067163 scopus 로고    scopus 로고
    • Distance-based consensus models for fuzzy and multiplicative preference relations
    • Y.J. Xu, K.W. Li, and H.M. Wang Distance-based consensus models for fuzzy and multiplicative preference relations Inf. Sci. 253 2013 56 73
    • (2013) Inf. Sci. , vol.253 , pp. 56-73
    • Xu, Y.J.1    Li, K.W.2    Wang, H.M.3
  • 72
    • 79955912358 scopus 로고    scopus 로고
    • On group decision making with four formats of incomplete preference relations
    • Y.J. Xu On group decision making with four formats of incomplete preference relations Comput. Ind. Eng. 61 2011 48 54
    • (2011) Comput. Ind. Eng. , vol.61 , pp. 48-54
    • Xu, Y.J.1
  • 73
    • 0034326138 scopus 로고    scopus 로고
    • On consistency of the weighted geometric mean complex judgement matrix in AHP
    • Z. Xu On consistency of the weighted geometric mean complex judgement matrix in AHP Eur. J. Oper. Res. 126 2000 683 687
    • (2000) Eur. J. Oper. Res. , vol.126 , pp. 683-687
    • Xu, Z.1
  • 74
    • 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
  • 75
    • 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
  • 76
    • 4944244985 scopus 로고    scopus 로고
    • A method based on linguistic aggregation operators for group decision making with linguistic preference relations
    • Z. Xu A method based on linguistic aggregation operators for group decision making with linguistic preference relations Inf. Sci. 166 2004 19 30
    • (2004) Inf. Sci. , vol.166 , pp. 19-30
    • Xu, Z.1
  • 77
    • 35348958878 scopus 로고    scopus 로고
    • Group decision making based on multiple types of linguistic preference relations
    • Z. Xu Group decision making based on multiple types of linguistic preference relations Inf. Sci. 178 2008 452 467
    • (2008) Inf. Sci. , vol.178 , pp. 452-467
    • Xu, Z.1
  • 78
    • 2342660235 scopus 로고    scopus 로고
    • Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation
    • Z.S. 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.S.1
  • 79
    • 4043084216 scopus 로고    scopus 로고
    • On compatibility of interval fuzzy preference matrices
    • Z.S. Xu On compatibility of interval fuzzy preference matrices Fuzzy Optim. Decis. Making 3 2004 217 225
    • (2004) Fuzzy Optim. Decis. Making , vol.3 , pp. 217-225
    • Xu, Z.S.1
  • 80
    • 84873714401 scopus 로고    scopus 로고
    • Algorithms for improving consistency or consensus of reciprocal
    • M.M. Xia, Z.S. Xu, and J. Chen Algorithms for improving consistency or consensus of reciprocal Fuzzy Sets Syst. 216 2013 108 133
    • (2013) Fuzzy Sets Syst. , vol.216 , pp. 108-133
    • Xia, M.M.1    Xu, Z.S.2    Chen, J.3
  • 81
    • 0029778561 scopus 로고    scopus 로고
    • Quantifier guided aggregation using OWA operators
    • R.R. Yager Quantifier guided aggregation using OWA operators Int. J. Intell. Syst. 11 1996 49 73
    • (1996) Int. J. Intell. Syst. , vol.11 , pp. 49-73
    • Yager, R.R.1
  • 82
    • 78049303079 scopus 로고    scopus 로고
    • Analytic hierarchy prioritization process in the AHP application development: A prioritization operator selection approach
    • K.K.F. Yuen Analytic hierarchy prioritization process in the AHP application development: a prioritization operator selection approach Appl. Soft Comput. 10 2010 975 989
    • (2010) Appl. Soft Comput. , vol.10 , pp. 975-989
    • Yuen, K.K.F.1
  • 84
    • 80255131115 scopus 로고    scopus 로고
    • Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations
    • G.Q. Zhang, Y.C. Dong, and Y.F. Xu Linear optimization modeling of consistency issues in group decision making based on fuzzy preference relations Expert Syst. Appl. 39 2012 2415 2420
    • (2012) Expert Syst. Appl. , vol.39 , pp. 2415-2420
    • Zhang, G.Q.1    Dong, Y.C.2    Xu, Y.F.3
  • 85
    • 4344621022 scopus 로고    scopus 로고
    • Decision consolidation: Criteria weight determination using multiple preference formats
    • Q. Zhang, J.C.H. Chen, and P.P. Chong Decision consolidation: criteria weight determination using multiple preference formats Decis. Support Syst. 38 2004 247 258
    • (2004) Decis. Support Syst. , vol.38 , pp. 247-258
    • Zhang, Q.1    Chen, J.C.H.2    Chong, P.P.3
  • 86
    • 84900447238 scopus 로고    scopus 로고
    • A fuzzy linear programming method for group decision making with additive reciprocal fuzzy preference relations
    • B. Zhu, and Z.S. Xu A fuzzy linear programming method for group decision making with additive reciprocal fuzzy preference relations Fuzzy Sets Syst. 246 2014 19 33
    • (2014) Fuzzy Sets Syst. , vol.246 , pp. 19-33
    • Zhu, B.1    Xu, Z.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.