Goal programming approaches to deriving interval weights based on interval fuzzy preference relations

Information Sciences

Volumn 193, Issue , 2012, Pages 180-198

  Wang, Zhou Jing ^a,b   Li, Kevin W ^c  

^a ZHEJIANG UNIVERSITY OF FINANCE AND ECONOMICS   (China)

^b BEIHANG UNIVERSITY   (China)

^c UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Additive transitivity; Goal programming; Interval fuzzy preference relation; Interval weight; Multiplicative transitivity

Indexed keywords

FUZZY PREFERENCE RELATIONS; GOAL PROGRAMMING; GROUP DECISION-MAKING; INTERNATIONAL EXCHANGE; INTERVAL ARITHMETIC; INTERVAL WEIGHTS; MULTIPLICATIVE TRANSITIVITY; NUMERICAL EXAMPLE; SELECTION PROBLEMS; TRANSFORMATION FUNCTIONS;

ARTIFICIAL INTELLIGENCE;

SOFTWARE ENGINEERING;

EID: 84862823224     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2012.01.019     Document Type: Article

References (65)

1. S. Alonso, F. Chiclana, F. Herrera, and E. Herrera-Viedma A consistency based procedure to estimate missing pairwise preference values International Journal of Intelligent Systems 23 2008 155 175 (Pubitemid 351225011)
2. 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
3. M. An, Y. Chen, and C.J. Baker A fuzzy reasoning and fuzzy-analytical hierarchy process based approach to the process of railway risk information: A railway risk management system Information Sciences 181 2011 3946 3966
4. A. Arbel Approximate articulation of preference and priority derivation European Journal of Operational Research 43 1989 317 326 (Pubitemid 20634228)
5. A. Arbel, and L.G. Vargas Preference simulation and preference programming: Robustness issues in priority deviation European Journal of Operational Research 69 1993 200 209 (Pubitemid 23705142)
6. N. Bryson, and A. Mobolurin An action learning evaluation procedure for multicriteria decision making problems European Journal of Operational Research 96 1997 379 386 (Pubitemid 127415898)
7. T.Y. Chen Optimistic and pessimistic decision making with dissonance reduction using interval-valued fuzzy sets Information Sciences 181 2011 479 502
8. T.Y. Chen A comparative analysis of score functions for multiple criteria decision making in intuitionistic fuzzy settings Information Sciences 181 2011 3652 3676
9. C.T. Cheng, C.P. Ou, and K.W. Chau Combining a fuzzy optimal model with a genetic algorithm to solve multiobjective rainfall-runoff model calibration Journal of Hydrology 268 2002 72 86 (Pubitemid 35307223)
10. 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 (Pubitemid 128654877)
11. 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 (Pubitemid 34965440)
12. F. Chiclana, F. Herrera, E. Herrera-Viedma, and L. Martinez A note on the reciprocity in the aggregation of fuzzy preference relations using OWA operators Fuzzy Sets and Systems 137 2003 71 83
13. M. Dadeviren, and Yüksel Developing a fuzzy analytic hierarchy process (AHP) model for behavior-based safety management Information Sciences 178 2008 1717 1723
14. S. Díaz, J.L. García-Lapresta, and S. Montes Consistent models of transitivity for reciprocal preferences on a finite ordinal scale Information Sciences 178 2008 2832 2848
15. Y.C. Erensal, T. Öncan, and M.L. Demircan Determining key capabilities in technology management using fuzzy analytic hierarchy process: a case study of Turkey Information Sciences 176 2006 2755 2770 (Pubitemid 43964851)
16. Z.P. Fan, J. Ma, Y.P. Jiang, Y.H. Sun, and L. Ma A goal programming approach to group decision making based on multiplicative preference relations and fuzzy preference relations European Journal of Operational Research 174 2006 311 321 (Pubitemid 44866849)
17. Z.P. Fan, and B. Feng A multiple attributes decision making method using individual and collaborative attribute data in a fuzzy environment Information Sciences 179 2009 3603 3618
18. Z.P. Fan, J. Ma, and Q. Zhang An approach to multiple attribute decision making based on fuzzy preference information on alternatives Fuzzy Sets and Systems 131 2002 101 106 (Pubitemid 34965442)
19. S. Gen, F.E. Boran, D. Akay, and Z. Xu Interval multiplicative transitivity for consistency, missing values and priority weights of interval fuzzy preference relations Information Sciences 180 2010 4877 4891
20. F. Herrera, L. Martínez, and P.J. Sánchez Managing non-homogeneous information in group decision making European Journal of Operational Research 166 2005 115 132 (Pubitemid 40219818)
21. E. Herrera-Viedma, S. Alonso, F. Herrera, and F. Chiclana A consensus model for group decision making with incomplete fuzzy preference relations IEEE Transactions on Fuzzy Systems 15 2007 863 877 (Pubitemid 47577994)
22. E. Herrera-Viedma, F. Chiclana, F. Herrera, and S. Alonso A group decision making model with incomplete fuzzy preference relations based on additive consistency IEEE Transactions on Systems, Man and Cybernetics-Part B 37 2007 176 189 (Pubitemid 46358490)
23. 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
24. Q. Hu, D. Yu, and M. Guo Fuzzy preference based rough sets Information Sciences 180 2010 2003 2022
25. F. Karray, and C.W. de Silva Soft Computing and Intelligent Systems Design: Theory, Tools and Applications 2004 Addison-Wesley
26. Korkmaz, H. Göken, and T. etinyoku An analytic hierarchy process and two-sided matching based decision support system for military personnel assignment Information Sciences 178 2008 2915 2927
27. K.L. Lee, and S.C. Lin A fuzzy quantified SWOT procedure for environmental evaluation of an international distribution center Information Sciences 178 2008 531 549
28. D.F. Li, G.H. Chen, and Z.G. Huang Linear programming method for multiattribute group decision making using IF sets Information Sciences 180 2010 1591 1609
29. Y.P. Li, and G.H. Huang Fuzzy-stochastic-based violation analysis method for planning water resources management systems with uncertain information Information Sciences 179 2009 4261 4276
30. J.Y. Lin, C.T. Cheng, and K.W. Chau Using support vector machines for long-term discharge prediction Hydrological Sciences Journal 51 2006 599 612
31. 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 (Pubitemid 41525536)
32. L. Mikhailov A fuzzy approach to deriving priorities from interval pairwise comparison judgments European Journal of Operational Research 159 2004 687 704
33. N. Muttil, and K.W. Chau Neural network and genetic programming for modelling coastal algal blooms International Journal of Environment and Pollution 28 2006 223 238 (Pubitemid 44905987)
34. F. Nasoz, C.L. Lisetti, and A.V. Vasilakos Affectively intelligent and adaptive car interfaces Information Sciences 180 2010 3817 3836
35. S.A. Orlovski Decision-making with a fuzzy preference relation Fuzzy Sets and Systems 1 1978 155 167
36. R.O. Parreiras, P.Ya. 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
37. W. Pedrycz, and M. Song Analytic hierarchy process (AHP) in group decision making and its optimization with an allocation of information granularity IEEE Transactions on Fuzzy Systems 19 2011 527 539
38. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
39. 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
40. A. Salo, and R.P. Hämäläinen Preference programming through approximate ratio comparisons European Journal of Operational Research 82 1995 458 475
41. K. Sugihara, H. Ishii, and H. Tanaka Interval priorities in AHP by interval regression analysis European Journal of Operational Research 158 2004 745 754
42. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets and Systems 12 1984 117 131 (Pubitemid 14569423)
43. O.S. Vaidya, and S. Kumar Analytic hierarchy process: an overview of applications European, Journal of Operational Research 169 2006 1 29 (Pubitemid 41336610)
44. 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
45. Y.M. Wang, K.S. Chin, and Y. Luo Aggregation of direct and indirect judgments in pairwise comparison matrices with a re-examination of the criticisms by Bana e Costa and Vansnick Information Sciences 179 2009 329 337
46. 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 (Pubitemid 44647615)
47. Y.M. Wang, and Z.P. Fan Group decision analysis based on fuzzy preference relations: logarithmic and geometric least squares methods Applied Mathematics and Computation 194 2007 108 119
48. Y.M. Wang, Z.P. Fan, and Z.S. Hua A chi-square method for obtaining a priority vector from multiplicative and fuzzy preference relations European Journal of Operational Research 182 2007 356 366
49. 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
50. Z. Wang, K.W. Li, and W. Wang An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights Information Sciences 179 2009 3026 3040
51. Z. Wang, K.W. Li, and J. Xu A mathematical programming approach to multi-attribute decision making with interval-valued intuitionistic fuzzy assessment information Expert Systems With Applications 38 2011 12462 12469
52. C.L. Wu, K.W. Chau, and Y.S. Li Predicting monthly streamflow using data-driven models coupled with data-preprocessing techniques Water Resources Research 45 2009 W08432 10.1029/2007WR006737
53. J.X. Xie, C.T. Cheng, K.W. Chau, and Y.Z. Pei A hybrid adaptive time-delay neural network model for multi-step-ahead prediction of sunspot activity International Journal of Environment and Pollution 28 2006 364 381
54. Y. Xu, Q. Da, and L. Liu Normalizing rank aggregation method for priority of a fuzzy preference relation and its effectiveness International Journal of Approximate Reasoning 50 2009 1287 1297
55. Z. Xu Uncertain Multiple Attribute Decision Making: Methods and Applications 2004 Tsinghua University Press Beijing
56. Z. Xu On compatibility of interval fuzzy preference matrices Fuzzy Optimization and Decision Making 3 2004 217 225
57. Z. Xu A survey of preference relations International Journal of General Systems 36 2007 179 203
58. Z. Xu Intuitionistic preference relations and their application in group decision making Information Sciences 177 2007 2363 2379 (Pubitemid 46435495)
59. Z. Xu Multiple-attribute group decision making with different formats of preference information on attributes IEEE Transactions on Systems, Man and Cybernetics - Part B 37 2007 1500 1511 (Pubitemid 350201158)
60. Z. Xu, and X. Cai Group consensus algorithms based on preference relations Information Sciences 181 2011 150 162
61. Z. Xu, and J. Chen Some models for deriving the priority weights from interval fuzzy preference relations European Journal of Operational Research 184 2008 266 280 (Pubitemid 47368918)
62. Z. Xu, and Q. Da A least deviation method to obtain a priority vector of a fuzzy preference relation European Journal of Operational Research 164 2005 206 216
63. L.A. Zadeh Fuzzy sets Information and Control 8 1965 338 353
64. L.A. Zadeh Toward a generalized theory of uncertainty (GTU)-an outline Information Sciences 172 2005 1 40 (Pubitemid 40612866)
65. L.A. Zadeh Is there a need for fuzzy logic? Information Sciences 178 2008 2751 2779