A fuzzy linear programming method for group decision making with additive reciprocal fuzzy preference relations

Fuzzy Sets and Systems

Volumn 246, Issue , 2014, Pages 19-33

  Zhu, Bin ^a   Xu, Zeshui ^b  

^a Southeast University   (China)

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

Author keywords

Effect index; Fuzzy linear programming method (FLPM); Fuzzy preference relations (FPRs); Group decision making (GDM)

Indexed keywords

FUZZY SET THEORY;

EFFECT INDEX; FUZZY LINEAR PROGRAMMING; FUZZY PREFERENCE RELATIONS; GROUP DECISION MAKING; PREFERENCE RELATION; RECIPROCAL FUZZY PREFERENCE RELATIONS; RESEARCH RESULTS; STEP BY STEP PROCEDURE;

DECISION MAKING;

EID: 84900447238     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2014.01.001     Document Type: Article

References (50)

1. Z. Wu, and J. 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
2. M. Rademaker, and B. De Baets Aggregation of monotone reciprocal relations with application to group decision making Fuzzy Sets Syst. 184 2011 29 51
3. S.J. Chuu Group decision-making model using fuzzy multiple attributes analysis for the evaluation of advanced manufacturing technology Fuzzy Sets Syst. 160 2009 586 602
4. A. Fernández, M. Calderón, E. Barrenechea, H. Bustince, and F. Herrera Solving multi-class problems with linguistic fuzzy rule based classification systems based on pairwise learning and preference relations Fuzzy Sets Syst. 161 2010 3064 3080
5. Y. Dong, Y. Xu, and S. Yu Linguistic multiperson decision making based on the use of multiple preference relations Fuzzy Sets Syst. 160 2009 603 623
6. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
7. Z.S. Xu A survey of preference relations Int. J. Gen. Syst. 36 2007 179 203
8. Y. Dong, H. Li, and Y. Xu On reciprocity indexes in the aggregation of fuzzy preference relations using the OWA operator Fuzzy Sets Syst. 159 2008 185 192
9. 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 Syst. 137 2003 71 83
10. E. Herrera-Viedma, F. Chiclana, F. Herrera, and S. Alonso Group decision-making model with incomplete fuzzy preference relations based on additive consistency IEEE Trans. Syst. Man Cybern., Part B, Cybern. 37 2007 176 189
11. 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 Int. J. Intell. Syst. 23 2008 155 175
12. M. Fedrizzi, and S. Giove Incomplete pairwise comparison and consistency optimization Eur. J. Oper. Res. 183 2007 303 313
13. H.S. Lee, M.T. Chou, H.-H. Fang, W.K. Tseng, and C.H. Yeh Estimating missing values in incomplete additive fuzzy preference relations Knowledge-Based Intelligent Information and Engineering Systems 2007 Springer 1307 1314
14. X. Liu, Y. Pan, Y. Xu, and S. Yu Least square completion and inconsistency repair methods for additively consistent fuzzy preference relations Fuzzy Sets Syst. 198 2012 1 19
15. E. Herrera-Viedma, F. Herrera, and F. Chiclana A consensus model for multiperson decision making with different preference structures IEEE Trans. Syst. Man Cybern., Part A, Syst. Hum. 32 2002 394 402
16. 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
17. E. Herrera-Viedma, F. Herrera, F. Chiclana, and M. Luque Some issues on consistency of fuzzy preference relations Eur. J. Oper. Res. 154 2004 98 109
18. 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 Syst. 157 2006 20 33
19. 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
20. S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera A web based consensus support system for group decision making problems and incomplete preferences Inf. Sci. 180 2010 4477 4495
21. Z. Xu, and X. Cai Group consensus algorithms based on preference relations Inf. Sci. 181 2011 150 162
22. M.M. Xia, Z.S. Xu, and J. Chen Algorithms for improving consistency or consensus of reciprocal [ 0, 1 ] -valued preference relations Fuzzy Sets Syst. 216 2013 108 133
23. 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 Eur. J. Oper. Res. 174 2006 311 321
24. Z.W. Gong Least-square method to priority of the fuzzy preference relations with incomplete information Int. J. Approx. Reason. 47 2008 258 264
25. Z.S. Xu, and Q.L. Da A least deviation method to obtain a priority vector of a fuzzy preference relation Eur. J. Oper. Res. 164 2005 206 216
26. Z.S. Xu Goal programming models for obtaining the priority vector of incomplete fuzzy preference relation Int. J. Approx. Reason. 36 2004 261 270
27. J. Deegan, and E.W. Packel A new index of power for simple n-person games Int. J. Game Theory 7 1978 113 123
28. J.R. French Jr A formal theory of social power Psychol. Rev. 63 1956 181
29. T.L. Saaty Group decision making and the AHP The Analytic Hierarchy Process 1989 59 67
30. S.E. Bodily Note - a delegation process for combining individual utility functions Manag. Sci. 25 1979 1035 1041
31. K. Jabeur, J.M. Martel, and S.B. Khélifa A distance-based collective preorder integrating the relative importance of the group's members Group Decis. Negot. 13 2004 327 349
32. Z.S. Xu Group decision making based on multiple types of linguistic preference relations Inf. Sci. 178 2008 452 467
33. Z.L. Yue Extension of TOPSIS to determine weight of decision maker for group decision making problems with uncertain information Expert Syst. Appl. 39 2012 6343 6350
34. S. Orlovsky Decision-making with a fuzzy preference relation Fuzzy Sets Syst. 1 1978 155 167
35. U. Bodenhofer, B. De Baets, and J. Fodor A compendium of fuzzy weak orders: Representations and constructions Fuzzy Sets Syst. 158 2007 811 829
36. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets Syst. 12 1984 117 131
37. L. Mikhailov A fuzzy programming method for deriving priorities in the analytic hierarchy process J. Oper. Res. Soc. 51 2000 341 349
38. T.L. Saaty A scaling method for priorities in hierarchical structures J. Math. Psychol. 15 1977 234 281
39. G. Crawford, and C. Williams A note on the analysis of subjective judgment matrices J. Math. Psychol. 29 1985 387 405
40. N. Bryson A goal programming method for generating priority vectors J. Oper. Res. Soc. 46 1995 641 648
41. L. Mikhailov Fuzzy analytical approach to partnership selection in formation of virtual enterprises Omega 30 2002 393 401
42. L.A. Zadeh Fuzzy sets Inf. Control 8 1965 338 353
43. S. Ohnishi, D. Dubois, H. Prade, and T. Yamanoi A fuzzy constraint-based approach to the analytic hierarchy process Uncertainty and Intelligent Information Systems 2008 217 228
44. L. Mikhailov Deriving priorities from fuzzy pairwise comparison judgements Fuzzy Sets Syst. 134 2003 365 385
45. L. Mikhailov Group prioritization in the AHP by fuzzy preference programming method Comput. Oper. Res. 31 2004 293 301
46. R.R. Yager OWA aggregation over a continuous interval argument with applications to decision making IEEE Trans. Syst. Man Cybern., Part B, Cybern. 34 2004 1952 1963
47. J. Pang, and J. Liang Evaluation of the results of multi-attribute group decision-making with linguistic information Omega 40 2012 294 301
48. S. Alonso, E. Herrera-Viedma, F. Chiclana, and F. Herrera Individual and social strategies to deal with ignorance situations in multi-person decision making Int. J. Inf. Technol. Decis. Mak. 8 2009 313 333
49. F. Chiclana, E. Herrera-Viedma, F. Herrera, and S. Alonso Some induced ordered weighted averaging operators and their use for solving group decision-making problems based on fuzzy preference relations Eur. J. Oper. Res. 182 2007 383 399
50. Y.M. Wang, and Z.P. Fan Fuzzy preference relations: Aggregation and weight determination Comput. Ind. Eng. 53 2007 163 172