Distance-based consensus models for fuzzy and multiplicative preference relations

Information Sciences

Volumn 253, Issue , 2013, Pages 56-73

  Xu, Yejun ^a   Li, Kevin W ^b   Wang, Huimin ^a  

^a HOHAI UNIVERSITY   (China)

^b UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Consensus; Distance; Fuzzy preference relation; Group decision making; Multiplicative preference relation

Indexed keywords

CONSENSUS; DISTANCE; FUZZY PREFERENCE RELATIONS; GROUP DECISION-MAKING; MULTIPLICATIVE PREFERENCE RELATIONS;

ALGORITHMS;

ITERATIVE METHODS;

EID: 84885067163     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2013.08.029     Document Type: Article

References (68)

1. S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera A web based consensus support system for group decision making problems and incomplete preferences Information Sciences 180 2010 4477 4495
2. M.S. Bazaraa, and C.M. Shetty Nonlinear Programming - Theory and Algorithms 1990 Wiley Singapore
3. D. Ben-Arieh, and Z. Chen Linguistic group decision-making: opinion aggregation and measures of consensus Fuzzy Optimization and Decision Making 5 2006 371 386
4. D. Ben-Arieh, and Z.F. Chen Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 36 2006 558 568
5. D. Ben-Arieh, and T. Easton Multi-criteria group consensus under linear cost opinion elasticity Decision Support Systems 43 2007 713 721
6. D. Ben-Arieh, T. Easton, and B. Evans Minimum cost consensus with quadratic cost functions IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 39 2009 210 217
7. G. Bordogna, M. Fedrizzi, and G. Pasi A linguistic modeling of consensus in group decision making based on OWA operators IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 27 1997 126 132
8. F.J. Cabrerizo, J.M. Moreno, I.J. Pérez, and E. Herrera-Viedma Analyzing consensus approaches in fuzzy group decision making: advantages and drawbacks Soft Computing 14 2010 451 463
9. F.J. Cabrerizo, I.J. Pérez, and E. Herrera-Viedma Managing the consensus in group decision making in an unbalanced fuzzy linguistic context with incomplete information Knowledge-Based Systems 23 2010 169 181
10. S.M. Chen, and L.W. Lee Autocratic decision making using group recommendations based on the ILLOWA operator and likelihood-based comparison relations IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 42 2012 115 129
11. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations Fuzzy Sets and Systems 97 1998 33 48
12. F. Chiclana, F. Mata, L. Martínez, E. Herrera-Viedma, and S. Alonso Integration of a consistency control module within a consensus model International Journal of Uncertainty Fuzziness and Knowledge-Based Systems 16 2008 35 53
13. A.K. Choudhury, R. Shankar, and M.K. Tiwari Consensus-based intelligent group decision-making model for the selection of advanced technology Decision Support Systems 42 2006 1776 1799
14. W.D. Cook, M. Kress, and L.M. Seiford A general framework for distance-based consensus in ordinal ranking models European Journal of Operational Research 96 1996 392 397
15. W.D. Cook, and L.M. Seiford On the Borda-Kendall consensus method for priority ranking problems Management Science 28 1982 621 637
16. W.D. Cook, and L.M. Seiford Priority ranking and consensus formation Management Science 24 1978 1721 1732
17. Y.C. Dong, Y.F. Xu, H.L. Li, and B. Feng The OWA-based consensus operator under linguistic representation models using position indexes European Journal of Operational Research 203 2010 455 463
18. 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 Systems 49 2010 281 289
19. C. Elzinga, H. Wang, Z.W. Lin, and Y. Kumar Concordance and consensus Information Sciences 181 2011 2529 2549
20. C. Fu, and S.L. Yang An attribute weight based feedback model for multiple attribute group decision analysis problems with group consensus requirements in evidential reasoning context European Journal of Operational Research 212 2011 179 189
21. C. Fu, and S.L. Yang The group consensus based evidential reasoning approach for multiple attribute group decision analysis European Journal of Operational Research 206 2010 601 608
22. Z.W. Gong, J. Forrest, Y. Zhao, and Y.J. Yang The optimal group consensus deviation measure for multiplicative preference relations Expert Systems with Applications 39 2012 11548 11555
23. E. Herrera-Viedma, S. Alonso, F. Chiclana, and F. Herrera A consensus model for group decision making with incomplete fuzzy preference relations IEEE Transactions on Fuzzy Systems 15 2007 863 877
24. E. Herrera-Viedma, F. Herrera, and F. Chiclana A consensus model for multiperson decision making with different preference structures IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 32 2002 394 402
25. E. Herrera-Viedma, F. Herrera, F. Chiclana, and M. Luque Some issues on consistency of fuzzy preference relations European Journal of Operational Research 154 2004 98 109
26. 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 Transactions on Fuzzy Systems 13 2005 644 658
27. F. Herrera, E. Herrera-Viedma, and J.L. Verdegay A model of consensus in group decision making under linguistic assessments Fuzzy Sets and Systems 78 1996 73 87
28. F. Herrera, E. Herrera-Viedma, and J.L. Verdegay A rational consensus model in group decision making using linguistic assessments Fuzzy Sets and Systems 88 1997 31 49
29. Y. Jiang, Z.S. Xu, and X.H. Yu Compatibility measures and consensus models for group decision making with intuitionistic multiplicative preference relations Applied Soft Computing 13 2013 2075 2086
30. J. Kacprzyk, and M. Fedrizzi A 'soft' measure of consensus in the setting of partial (fuzzy) preferences European Journal of Operational Research 34 1988 316 325
31. 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 and Systems 198 2012 1 19
32. J. Ma, Z.P. Fan, Y.P. Jiang, and J.Y. Mao An optimization approach to multiperson decision making based on different formats of preference information IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 36 2006 876 889
33. 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 and Systems 157 2006 20 33
34. S. Önüt, T. Efendigil, and S.S. Kara A combined fuzzy MCDM approach for selecting shopping center site: an example from Istanbul, Turkey Expert Systems with Applications 37 2010 1973 1980
35. I. Palomares, R.M. Rodriguez, and L. Martínez An attitude-driven web consensus support system for heterogeneous group decision making Expert Systems with Applications 40 2013 139 149
36. R. Parreiras, P. Ekel, and F. Bernardes A dynamic consensus scheme based on a nonreciprocal fuzzy preference relation modeling Information Sciences 211 2012 1 17
37. R.O. Parreiras, P.Y. Ekel, J.S.C. Martini, and R.M. Palhares A flexible consensus scheme for multicriteria group decision making under linguistic assessments Information Sciences 180 2010 1075 1089
38. W. Pedrycz, P. Ekel, and R. Parreiras Fuzzy Multicriteria Decision-Making: Models, Methods and Applications 2011 Wiley
39. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
40. Z. Świtalski General transitivity conditions for fuzzy reciprocal preference matrices Fuzzy Sets and Systems 137 2003 85 100
41. Z. Świtalski Transitivity of fuzzy preference relations - an empirical study Fuzzy Sets and Systems 118 2001 503 508
42. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets and Systems 12 1984 117 131
43. T. Tanino Fuzzy preference relation in group decision making J. Kacprzyk, M. Roubens, Non-Conventional Preference Relation in Decision Making 1988 Springer Berlin 54 71
44. T. Tanino On group decision making under fuzzy preferences J. Kacprzyk, M. Fedrizzi, Multiperson Decision Making Using Fuzzy Sets and Possibility Theory 1990 Kluwer, Dordrech The Netherlands 172 185
45. R.C. Van den Honert Stochastic group preference modelling in the multiplicative AHP: a model of group consensus European Journal of Operational Research 110 1998 99 111
46. 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 and Systems 206 2012 58 73
47. Z.B. Wu, and J.P. Xu Consensus reaching models of linguistic preference relations based on distance functions Soft Computing 16 2012 577 589
48. Z.B. Wu, and J.P. Xu A consistency and consensus based decision support model for group decision making with multiplicative preference relations Decision Support Systems 52 2012 757 767
49. M.M. Xia, Z.S. Xu, and J. Chen Algorithms for improving consistency or consensus of reciprocal [0, 1]-valued preference relations Fuzzy Sets and Systems 216 2013 108 133
50. J.P. Xu, and Z.B. Wu A discrete consensus support model for multiple attribute group decision making Knowledge-Based Systems 24 2011 1196 1202
51. Y.J. Xu, and Q.L. Da Methods for priority of incomplete complementary judgement matrices Systems Engineering and Electronics 31 2009 95 99
52. Y.J. Xu, and Q.L. Da Weighted least-square method and its improvement for priority of incomplete complementary judgement matrix Systems Engineering and Electronics 31 2008 1273 1276
53. Y.J. Xu, Q.L. Da, and L.H. Liu Normalizing rank aggregation method for priority of a fuzzy preference relation and its effectiveness International Journal of Approximate Reasoning 50 2009 1287 1297
54. Y.J. Xu, Q.L. Da, and H.M. Wang A note on group decision-making procedure based on incomplete reciprocal relations Soft Computing 15 2011 1289 1300
55. Y.J. Xu, R. Patnayakuni, and H.M. Wang Logarithmic least squares method to priority for group decision making with incomplete fuzzy preference relations Applied Mathematical Modelling 37 2013 2139 2152
56. Y.J. Xu, R. Patnayakuni, and H.M. Wang The ordinal consistency of a fuzzy preference relation Information Sciences 224 2013 152 164
57. Y.J. Xu, and H.M. Wang Eigenvector method, consistency test and inconsistency repairing for an incomplete fuzzy preference relation Applied Mathematical Modelling 37 2013 5171 5183
58. Y.J. Xu, and H.M. Wang Optimal weight determination and consensus formation under fuzzy linguistic environment Procedia Computer Science 17 2013 482 489
59. Z.S. Xu An automatic approach to reaching consensus in multiple attribute group decision making Computers and Industrial Engineering 56 2009 1369 1374
60. Z.S. Xu A consensus reaching process under incomplete multiplicative preference relations International Journal of General Systems 41 2012 333 351
61. Z.S. Xu Consistency of interval fuzzy preference relations in group decision making Applied Soft Computing 11 2011 3898 3909
62. Z.S. Xu, and X.Q. Cai Group consensus algorithms based on preference relations Information Sciences 181 2011 150 162
63. R.R. Yager On ordered weighted averaging aggregation operators in multi-criteria decision making IEEE Transactions on Systems Man and Cybernetics 18 1988 183 190
64. J.M. Yeh, B. Kreng, and C.H. Lin A consensus approach for synthesizing the elements of comparison matrix in the Analytic Hierarchy Process International Journal of Systems Science 32 2001 1353 1363
65. L.A. Yu, and K.K. Lai A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support Decision Support Systems 51 2011 307 315
66. L.A. Yu, S.Y. Wang, and K.K. Lai An intelligent-agent-based fuzzy group decision making model for financial multicriteria decision support: The case of credit scoring European Journal of Operational Research 195 2009 942 959
67. 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 Systems with Applications 39 2012 2415 2420
68. G.Q. Zhang, Y.C. Dong, Y.F. Xu, and H.Y. Li Minimum-cost consensus models under aggregation operators IEEE Transactions on Systems Man and Cybernetics, Part A: Systems and Humans 41 2011 1253 1261