Incomplete interval fuzzy preference relations and their applications

Computers and Industrial Engineering

Volumn 67, Issue 1, 2014, Pages 93-103

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

^a HOHAI UNIVERSITY   (China)

^b UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Additive consistent; Group decision making; Incomplete interval fuzzy preference relation

Indexed keywords

ADDITIVE CONSISTENCY; ESTIMATION ALGORITHM; FUZZY PREFERENCE RELATIONS; GROUP DECISION MAKING; PREFERENCE DATA; SOLUTION PROCESS;

INDUSTRY;

ENGINEERING;

EID: 84890107825     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2013.10.010     Document Type: Article

References (59)

1. S. Alonso, F. Chiclana, F. Herrera, and E. Herrera-Viedma A learning procedure to estimate missing values in fuzzy preference relations based on additive consistency V. Torra, Y. Narukawa, MDAI 2004, LNAI 3131 2004 Springer-Verlag Berlin Heidelberg 227 238
2. 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 Journal of Intelligent Systems 23 2008 155 175
3. A. Arbel Approximate articulation of preference priority derivation European Journal of Operational Research 43 1989 317 326
4. C.T. Chen, C.T. Lin, and S.F. Huang A fuzzy approach for supplier evaluation and selection in supply chain management International Journal of Production Economics 102 2006 289 301
5. F. Chiclana, E. Herrera-Viedma, and S. Alonso A note on two methods for estimating missing pairwise preference values IEEE Transactions on Systems Man and Cybernetics Part B-Cybernetics 39 2009 1628 1633
6. F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera A note on the estimation of missing pairwise preference values: A U-consistency based method International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems 16 2008 19 32
7. F. Chiclana, F. Herrera, and E. Herrera-Viedma A note on the internal consistency of various preference representations Fuzzy Sets and Systems 131 2002 75 78
8. 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
9. R. Csutora, and J.J. Buckley Fuzzy hierarchical analysis: The Lambda-Max method Fuzzy Sets and Systems 120 2001 181 195
10. G. Facchinetti, R.G. Ricci, and S. Muzzioli Note on ranking fuzzy triangular numbers International Journal of Intelligent Systems 13 1998 613 622
11. M. Fedrizzi, and G. Silvio Incomplete pairwise comparison and consistency optimization European Journal of Operational Research 183 2007 303 313
12. S. Genç, F.E. Boran, D. Akay, and Z.S. Xu Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations Information Sciences 180 2010 4877 4891
13. A. Hadi-Vencheh, and M. Mirjaberi Seclusion-factor method to solve fuzzy-multiple criteria decision-making problems IEEE Transactions on Fuzzy Systems 19 2011 201 209
14. B. Hayes A lucid interval American Science 91 2003 484 488
15. 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
16. 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 2007 176 189
17. 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
18. F. Herrera, L. Martíze, and P.J. Sánchez Managing non-homogeneous information in group decision making European Journal of Operational Research 166 2005 115 132
19. R. Islam, M.P. Biswal, and S.S. Alam Preference programming and inconsistent interval judgments European Journal of Operational Research 97 1997 53 62
20. Y.L. Jiang An approach to group decision making based on interval fuzzy relations Journal of Systems Science and Systems Engineering 16 2007 113 120
21. J. Kacprzyk Group decision making with a fuzzy majority Fuzzy Sets and Systems 18 1986 105 118
22. M. Kress Approximate articulation of preference and priority derivation - A comment European Journal of Operational Research 52 1991 382 383
23. Lee, H. S., Chou, M. T., Fang, H. H., Tseng, W. K., & Yeh, C. H. (2007). Estimating missing values in incomplete additive fuzzy preference relations. In B. Apolloni (Ed.), KES 2007/WIRN 2007, LNAI 4693 (pp. 1307-1314).
24. F. Liu, W.G. Zhang, and Z.X. Wang A goal programming model for incomplete interval multiplicative preference relations and its application in group decision-making European Journal of Operational Research 218 2012 747 754
25. 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
26. L. Mikhailov Fuzzy analytical approach to partnership selection in formation of virtual enterprises Omega 30 2002 393 401
27. L. Mikhailov A fuzzy approach to deriving priorities from interval pairwise comparison judgements European Journal of Operational Research 159 2004 687 704
28. B.K. Mohanty, and B. Bhasker Product classification in the Internet business - A fuzzy approach Decision Support Systems 38 2005 611 619
29. R.E. Moore Interval analysis 1966 Prentice-Hall Englewood Cliffs
30. S.A. Orlovsky Decision-making with a fuzzy preference relation Fuzzy Sets and Systems 1 1978 155 167
31. T.L. Saaty The analytic hierarchy process 1980 McGraw-Hill New York
32. T.L. Saaty, and L.G. Vargas Uncertainty and rank order in the analytic hierarchy process European Journal of Operational Research 32 1987 107 117
33. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets and Systems 12 1984 117 131
34. T.C. Wang, and Y.H. Chen Applying consistent fuzzy preference relations to partnership selection Omega 35 2007 384 388
35. T.C. Wang, and Y.H. Chen Applying fuzzy linguistic preference relations to the improvement of consistency of fuzzy AHP Information Sciences 178 2008 3755 3765
36. Y.M. Wang On lexicographic goal programming method for obtaining interval weights from an interval comparison matrix Applied Mathematics and Computation 173 2006 985 991
37. Y.M. Wang, and K.S. Chin An eigenvector method for generating normalized interval and fuzzy weights Applied Mathematics and Computation 181 2006 1257 1275
38. Y.M. Wang, and T.M.S. Elhag A goal programming method for obtaining interval weights from an interval comparison matrix European Journal of Operational Research 177 2007 458 471
39. Y.M. Wang, and Z.P. Fan Fuzzy preference relations: aggregation and weight determination Computers & Industrial Engineering 53 2007 163 172
40. Y.M. Wang, and C. Parkan Optimal aggregation of fuzzy preference relations with an application to broadband internet service selection European Journal of Operational Research 187 2008 1476 1486
41. 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 and Systems 152 2005 475 498
42. Z.J. Wang, and K.W. Li Goal programming approaches to deriving interval weights based on interval fuzzy preference relations Information Sciences 193 2012 180 198
43. M.M. Xia, Z.S. Xu, and Z. Wang Multiplicative consistency-based decision support system for incomplete linguistic preference relations International Journal of Systems Science 45 2014 625 636
44. Y.J. Xu Note on "The induced continuous ordered weighted geometric operators and their application in group decision making Computers & Industrial Engineering 59 2010 365 366
45. 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 30 2008 1273 1276
46. Y.J. Xu, and Q.L. Da Methods for priority of incomplete complementary judgement matrices Systems Engineering and Electronics 31 2009 95 99
47. 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
48. 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 2010 1289 1300
49. Y.J. Xu, J.N.D. Gupta, and H.M. Wang The ordinal consistency of an incomplete reciprocal preference relation Fuzzy Sets and Systems 2013 http://dx.doi.org/10.1016/j.fss.2013.08.001
50. 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
51. Y.J. Xu, R. Patnayakuni, and H.M. Wang The ordinal consistency of a fuzzy preference relation Information Sciences 224 2013 152 164
52. Z.S. Xu Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation International Journal of Approximate Reasoning 36 2004 261 270
53. Z.S. Xu On compatibility of interval fuzzy preference relations Fuzzy Optimization and Decision Making 3 2004 217 225
54. Z.S. Xu A procedure for decision making based on incomplete fuzzy preference relation Fuzzy Optimization and Decision Making 4 2005 175 189
55. Z.S. Xu An automatic approach to reaching consensus in multiple attribute group decision making Computers & Industrial Engineering 56 2009 1369 1374
56. Z.S. Xu A consensus reaching process under incomplete multiplicative preference relations International Journal of General Systems 41 2012 333 351
57. Z.S. Xu, and J. Chen Group decision-making procedure based on incomplete reciprocal relations Soft Computing 12 2008 515 521
58. Z.S. Xu, and J. Chen Some methods for deriving the priority weights from interval fuzzy preference relations European Journal of Operational Research 184 2008 266 280
59. Z.S. Xu, and Q.L. Da The uncertain OWA operator International Journal of Intelligent Systems 17 2002 569 575