Methods for fuzzy complementary preference relations based on multiplicative consistency

Computers and Industrial Engineering

Volumn 61, Issue 4, 2011, Pages 930-935

  Xia, Meimei ^a   Xu, Zeshui ^a  

^a Southeast University   (China)

Author keywords

Additive consistency; Fuzzy AHP; Fuzzy complementary preference relation; Fuzzy reciprocal preference relation; Multiplicative consistency

Indexed keywords

ADDITIVE CONSISTENCY; FUZZY AHP; FUZZY COMPLEMENTARY PREFERENCE RELATION; MULTIPLICATIVE CONSISTENCY; PREFERENCE RELATION;

DECISION MAKING;

HIERARCHICAL SYSTEMS;

EID: 80054925767     PISSN: 03608352     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cie.2011.06.005     Document Type: Article

References (31)

1. J.J. Buckley Fuzzy hierarchical analysis Fuzzy Sets Systems 17 1985 233 247
2. T.H. Chang, and T.C. Wang Measuring the success possibility of implementing advanced manufacturing technology by utilizing the consistent fuzzy preference relations Expert Systems with Applications 36 2009 4313 4320
3. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations Fuzzy Sets Systems 122 2001 277 291 (Pubitemid 32590554)
4. F. Chiclana, E. Herrera-Viedma, S. Alonso, and F. Herrera Cardinal consistency of reciprocal preference relation: a characterization of multiplicative transitivity IEEE Transactions on Fuzzy Systems 17 2009 14 23
5. P.Y. Ekel, M.R. Silva, F.S. Neto, and R.M. Palhares Fuzzy preference modeling and its application to multiobjective decision making Computational Mathematics of Applications 52 2006 179 196 (Pubitemid 44648695)
6. M.S. Garcia, and M.T. Lamata A modification to the index of Liou and Wang for ranking Fuzzy number International Journal of Uncertainity Fuzziness and Knowledge-Based Systems 15 2007 411 424 (Pubitemid 47318256)
7. Z.W. Gong, and S.F. Liu Consistency and priority of triangular fuzzy number complementary judgment matrix Control Decisions 21 2006 903 907
8. 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
9. C. Kahraman, D. Ruan, and I. Doan Fuzzy group decision-making for facility location selection Information Sciences 157 2003 135 153
10. M. Kwiesielewicz A note on the fuzzy extension of Saaty's priority theory Fuzzy Sets Systems 95 1998 161 172 (Pubitemid 128654824)
11. P.J.M. Laarhoven, and W. Pedrycz A fuzzy extension of Saaty's priority theory Fuzzy Sets Systems 11 1983 229 241 (Pubitemid 14507023)
12. 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 Systems 157 2006 20 33 (Pubitemid 41525536)
13. S.A. Orlovski Decision-making with a fuzzy preference relation Fuzzy Sets Systems 1 1978 155 167
14. T.L. Saaty A scaling method for priorities in hierarchical structures Journal of Mathematical Psychology 15 1977 234 281
15. T.L. Saaty The analytic hierarchy process 1980 McGraw-Hill New York
16. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets Systems 12 1984 117 131 (Pubitemid 14569423)
17. T.C. Wang, and T.H. Chang Forecasting the probability of successful knowledge management by consistent fuzzy preference relations Expert Systems with Applications 32 2007 801 813
18. T.C. Wang, and T.H. Chang Application of consistent fuzzy preference relations in predicting the success of knowledge management implementation European Journal of Operational Research 182 2007 1313 1329
19. T.C. Wang, and Y.H. Chen Applying consistent fuzzy preference relations to partnership selection Omega 35 2007 384 388
20. 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
21. T.C. Wang, and Y.H. Chen Incomplete fuzzy linguistic preference relations under uncertain environments Information Fusion 11 2010 201 207
22. 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 Europena Journal of Operational Research 182 2007 356 366
23. T.C. Wang, and Y.L. Lin Applying the consistent fuzzy preference relations to select merger strategy for commercial banks in new financial environments Expert Systems with Applications 36 2009 7019 7026
24. Z.S. Xu On consistency of the weighted geometric mean complex judgement matrix in AHP European Journal of Operational Research 126 2002 683 687
25. Z.S. Xu An approach to improving consistency of fuzzy preference matrix Fuzzy Optimization and Decision Making 2 2003 3 21
26. Z.S. Xu On priority method of triangular fuzzy number of complementary judgement matrix Journal of Systems Engineering 19 2004 85 88
27. Z.S. Xu A survey of preference relations International Journal of General Systems 36 2007 179 203
28. Z.S. Xu, and X.Q. Cai Group consensus algorithms based on preference relations Information Sciences 181 2011 150 162
29. Z.S. Xu, and Q.L. Da A least deviation method to obtain a priority vector of a fuzzy preference relation European Journal of Operational Research 164 2005 206 216
30. Z.S. Xu, and C.P. Wei A consistency improving method in the analytic hierarchy process European Journal of Operational Research 116 1999 443 449
31. Z.S. Xu A method for priorities of triangular fuzzy number complementary judgement matrices Fuzzy Systems and Mathematics 16 2003 47 50