Consistency and consensus measures for linguistic preference relations based on distribution assessments

Information Fusion

Volumn 17, Issue 1, 2014, Pages 46-55

  Zhang, Guiqing ^a   Dong, Yucheng ^b   Xu, Yinfeng ^b  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b Department of Management Science and System Science   (China)

Author keywords

Consensus; Consistency; Distribution assessments; Group decision making; Linguistic preference relations

Indexed keywords

CONSENSUS; CONSISTENCY; DISTRIBUTION ASSESSMENTS; GROUP DECISION MAKING; LINGUISTIC PREFERENCE RELATION;

DECISION MAKING; STATISTICAL METHODS;

LINGUISTICS;

EID: 84888300532     PISSN: 15662535     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.inffus.2012.01.006     Document Type: Article

References (56)

1. S. Alonso, F. Chiclana, F. Herrera, E. Herrera-Viedma, J. Alcalá-Fdez, and C. Porcel A consistency-based procedure to estimate missing pairwise preference values International Journa (Pubitemid 351225011)
2. 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 (Pubitemid 351730186)
3. 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
4. L.A. Zadeh The concept of a linguistic variable and its application to approximate reasoning, part 3 Information Sciences 9 1975 43 80
5. L.A. Zadeh Fuzzy logic computing with words IEEE Transactions on Fuzzy Systems 4 2 1996 103 111
6. F. Herrera, S. Alonso, F. Chiclana, and E. Herrera-Viedma Computing with words in decision making: foundations, trends and prospects Fuzzy Optimization and Decision Making 8 2009 337 364
7. L. Martínez, D. Ruan, and F. Herrera Computing with words in decision support systems: an overview on models and applications International Journal of Intelligent Systems 3 4 2010 382 395
8. R. Degani, and G. Bortolan The problem of linguistic approximation in clinical decision making International Journal of Approximate Reasoning 2 1988 143 162
9. J.M. Mendel, and H. Wu Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: part 1, porward problems IEEE Transactions on Fuzzy Systems 14 6 2006 781 792 (Pubitemid 46432458)
10. J.M. Mendel, and H. Wu Type-2 fuzzistics for symmetric interval type-2 fuzzy sets: part 2, inverse problems IEEE Transactions on Fuzzy Systems 15 2 2007 301 308 (Pubitemid 46563429)
11. F. Herrera, and L. Martínez A 2-tuple fuzzy linguistic representation model for computing with words IEEE Transactions on Fuzzy Systems 8 6 2000 746 752
12. F. Herrera, and L. Martínez A model based on linguistic 2-tuples for dealing with mul-tigranular hierarchical linguistic contexts in multi-expert decision-making IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics 31 2 2001 227 234 (Pubitemid 32415888)
13. Z.S. Xu A method based on linguistic aggregation operators for group decision making with linguistic preference relations Information Sciences 166 2004 19 30
14. R. Yager Aggregation of ordinal information Fuzzy Optimization and Decision Making 6 2007 199 219 (Pubitemid 47507478)
15. Z.S. Xu Group decision making based on multiple types of linguistic preference relations Information Sciences 178 2 2008 452 467
16. F. Herrera, E. Herrera-Viedma, and J.L. Verdegay Direct approach processes in group decision making using linguistic OWA operators Fuzzy Sets and Systems 79 2 1996 175 190 (Pubitemid 126667399)
17. R. Yager On ordered weighted averaging aggregation operators in multicriteria decision making IEEE Transactions on Systems, Man, and Cybernetics 18 1 1988 183 190 (Pubitemid 18612263)
18. Z.S. Xu EOWA and EOWG operators for aggregating linguistic labels based on linguistic preference relations International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 12 6 2004 791 810 (Pubitemid 40493397)
19. Z.S. Xu Deviation measures of linguistic preference relations in group decision making Omega 33 3 2005 249 254
20. Z.S. Xu Uncertain linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment Information Sciences 168 2004 171 184
21. Z.S. Xu An approach based on the uncertain LOWG and the induced uncertain LOWG operators to group decision making with uncertain multiplicative linguistic preference relations Decision Support Systems 41 2 2006 488 499
22. Z.S. Xu Induced uncertain linguistic OWA operators applied to group decision making Information Fusion 7 2 2006 231 238
23. S.M. Chen, and S.J. Niou Fuzzy multiple attributes group decision-making based on fuzzy induced OWA operators Expert Systems with Applications 38 4 2011 3865 3872
24. J.L. García-Lapresta A general class of simple majority decision rules based on linguistic opinions Information Science 176 4 2006 352 365 (Pubitemid 41660609)
25. J.L. García-Lapresta, M. Martínez-Panero, and L.C. Meneses Defining the Borda count in a linguistic decision making context Information Science 179 14 2009 2309 2316
26. F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera Cardinal consistency of reciprocal preference relations: an characterization of multiplicative transitivity IEEE Transactions on Fuzzy Systems 17 1 2009 14 23
27. J.L. García-Lapresta, and L.C. Meneses Modeling rationality in a linguistic framework Fuzzy Sets and Systems 160 22 2009 3211 3223
28. E. Herrera-Viedma, F. Chiclana, F. Herrera, and S. Alonso Group decision-making model with incomplete fuzzy preference relations based on additive consistency IEEE Transactions on Systems, Man, and Cybernetics - Part B: Cybernetics 37 1 2007 176 189 (Pubitemid 46358490)
29. 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
30. Z.S. Xu Incomplete linguistic preference relations and their fusion Information Fusion 7 2006 331 337
31. Z. Sahnoun, F. Dicesare, and P. Bonissone Efficient methods of computing linguistic consistency Fuzzy Sets and Systems 39 1 1991 15 26 (Pubitemid 21727177)
32. Y.C. Dong, Y.F. Xu, and H.Y. Li On consistency measures of linguistic preference relations European Journal of Operational Research 189 2 2008 430 444
33. 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 Science 180 23 2010 4477 4495
34. 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 5 2007 863 877 (Pubitemid 47577994)
35. 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 3 2002 394 402 (Pubitemid 35426921)
36. J. Kacprzyk, H. Nurmi, and M. Fedrizzi Consensus Under Fuzziness 1997 Kluwer Norwell, MA
37. I.J. Pérez, F.J. Cabrerizo, and E. Herrera-Viedma A mobile decision support system for dynamic group decision-making problems IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans 40 6 2010 1244 1256
38. 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 6 2011 1253 1261
39. 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 (Pubitemid 126667360)
40. 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 1 1997 126 133
41. E. Herrera-Viedma, L. Martínez, F. Mata, and F. Chiclana A consensus support system model for group decision-making problems with multi-granular linguistic preference relations IEEE Transactions on Fuzzy Systems 13 5 2005 644 658 (Pubitemid 41555591)
42. 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 Transactions on Fuzzy Systems 17 2 2009 279 290
43. D. Ben-Arieh, and Z. Chen Linguistic-labels aggregation and consensus measure for autocratic decision making using group recommendations IEEE Transactions on Systems, Man, and Cybernetics 36 3 2006 558 568 (Pubitemid 43790778)
44. Y.C. Dong, Y.F. Xu, H.Y. Li, and B. Feng The OWA-based consensus operator under linguistic representation models using position indexes European Journal of Operational Research 203 2 2010 455 463
45. F.J. Cabrerizo, S. Alonso, and E. Herrera-Viedma A consensus model for group decision making problems with unbalanced fuzzy linguistic information International Journal of Information Technology and Decision Making 8 1 2009 109 131
46. 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 2 2010 169 181
47. F. Herrera, E. Herrera-Viedma, and L. Martínez A fuzzy linguistic methodology to deal with unbalanced linguistic term sets IEEE Transactions on Fuzzy Systems 16 2 2008 354 370 (Pubitemid 351586037)
48. E. Herrera-Viedma, and A.G. López-Herrera A model of an information retrieval system with unbalanced fuzzy linguistic information International Journal of Intelligent Systems 22 2007 1197 1214 (Pubitemid 350076105)
49. 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 5 2010 451 463
50. AlcaldeE. Herrera-Viedma, J.L. García-Lapresta, J. Kacprzyk, M. Fedrizzi, H. Nurmi, and S. Zadrozny Consensual Processes STUDFUZZ vol. 267 2011 Springer-Verlag Berlin
51. J.H. Wang, and J.Y. Hao A new version of 2-tuple fuzzy linguistic representation model for computing with words IEEE Transactions on Fuzzy Systems 14 3 2006 435 445
52. J.H. Wang, and J.Y. Hao An approach to computing with words based on canonical characteristic values of linguistic labels IEEE Transactions on Fuzzy Systems 15 4 2007 593 604
53. F. Herrera, and E. Herrera-Viedma Linguistic decision analysis: steps for solving decision problems under linguistic information Fuzzy Sets and Systems 115 1 2000 67 82
54. Y.C. Dong, Y.F. Xu, and S. Yu Computing the numerical scale of the linguistic term set for the 2-tuple fuzzy linguistic representation model IEEE Transactions on Fuzzy Systems 17 6 2009 1366 1378
55. Y.C. Dong, Y.F. Xu, and S. Yu Linguistic multiperson decision making based on the use of multiple preference relations Fuzzy Sets and Systems 160 5 2009 603 623
56. 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 1 1997 31 49 (Pubitemid 127699073)