A method for repairing the inconsistency of fuzzy preference relations

Fuzzy Sets and Systems

Volumn 157, Issue 1, 2006, Pages 20-33

  Ma, Jian ^a   Fan, Zhi Ping ^b   Jiang, Yan Ping ^b   Mao, Ji Ye ^c   Ma, Louis ^a  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b NORTHEASTERN UNIVERSITY   (China)

^c Renmin Business School   (China)

Author keywords

Additive consistency; Fuzzy preference relations; Inconsistency; Weak transitivity

Indexed keywords

ALGORITHMS; DECISION MAKING; GRAPH THEORY; THEOREM PROVING;

ADDITIVE CONSISTENCY; FUZZY PREFERENCE RELATIONS; INCONSISTENCY; WEAK TRANSITIVITY;

FUZZY SETS;

EID: 27344433112     PISSN: 01650114     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.fss.2005.05.046     Document Type: Article

References (31)

1. L. Basile Ranking alternatives by weak transitivity relation J. Kacprzyk M. Fedrizzi Multiperson Decision Making Using Fuzzy Sets and Possibility Theory 1990 Kluwer Netherlands 105 112
2. E. Blankmeyer Approaches to consistency adjustment J. Optim. Theory Appl. 54 1987 479 489
3. T.B. Boffey Graph Theory in Operations Research 1982 Macmillan London
4. F. Buckley, and F. Harary Distance in Graphs 1990 Addison-Wesley California
5. 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
6. F. Chiclana, F. Herrera, and E. Herrera-Viedma Integrating multiplicative preference relation in a multipurpose decision-making model based on fuzzy preference relations Fuzzy Sets and Systems 122 2001 277 291
7. K.M. Dadkah, and F. Zahedi A mathematical treatment of inconsistency in the analytic hierarchy process Math. Comput. Modeling 17 1993 111 122
8. D. Dubois, and H. Prade Fuzzy Sets and Systems: Theory and Application 1980 Academic Press New York
9. 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
10. J.S. Finan, W.J. Hurley, The analytic hierarchy process: Does adjusting a pairwise comparison matrix to improve the consistency ratio help? Comput. Oper. Res. 24 (1997) 749-755.
11. J. Fodor, and M. Roubens Fuzzy Preference Modeling and Multicriteria Decision Support 1994 Kluwer Dordrecht
12. S.I. Gass Tournaments, transitivity and pairwise comparison matrices J. Oper. Res. Soc. 49 1998 616 624
13. J. Gonzalez-Pachon, M.I. Rodriguez-Galiano, and C. Romero Transitive approximation to pairwise comparison matrices by using interval goal programming J. Oper. Res. Soc. 54 2003 532 538
14. E. Herrera-Viedma, F. Herrera, and F. Chiclana A consensus model for multiperson decision making with different preference structures IEEE Trans. Systems Man and Cybernet.-Part A: Systems and Humans 32 2002 394 402
15. E. Herrera-Viedma, F. Herrera, F. Chiclana, and M. Luque Some issues on consistency of fuzzy preference relations European J. Oper. Res. 154 2004 98 109
16. J. Kacprzyk Group decision making with a fuzzy linguistic majority Fuzzy Sets and Systems 18 1986 105 118
17. S. Karapetrovic, and E.S. Rosenbloom A quality control approach to consistency paradoxes in AHP European J. Oper. Res. 119 1999 704 718
18. H. Monsuur An intrinsic consistency threshold for reciprocal matrices European J. Oper. Res. 96 1996 387 391
19. K. Nishizawa A consistency improving method in binary AHP J. Oper. Res. Soc. Japan 38 1995 21 33
20. K. Nishizawa A method to find elements of cycles in an incomplete directed graph and its applications - binary AHP and Petri Nets Comput. Math. Appl. 33 1997 33 46
21. S.A. Orlovsky Decision-making with a fuzzy preference relation Fuzzy Sets and Systems 1 1978 155 167
22. T.L. Saaty The Analytic Hierarchy Process 1980 McGraw-Hill New York
23. Z. Switalski Transitivity of fuzzy preference relation - an empirical study Fuzzy Sets and Systems 118 2001 503 508
24. Z. Switalski General transitivity conditions for fuzzy reciprocal preference matrices Fuzzy Sets and Systems 137 2003 85 100
25. T. Tanino Fuzzy preference orderings in group decision making Fuzzy Sets and Systems 12 1984 117 131
26. T. Tanino Fuzzy preference relation in group decision making J. Kacprzyk M. Roubens Non-Conventional Preference Relation in Decision Making 1988 Springer Berlin 54 71
27. T. Tanino On group decision making under fuzzy preferences J. Kacprzyk M. Fedrizzi Multiperson Decision Making Using Fuzzy Sets and Possibility Theory 1990 Kluwer Netherlands 172 185
28. L.G. Vargas An overview of the analytic hierarchy process and its applications European J. Oper. Res. 48 1990 2 8
29. Z.S. Xu, and C.P. Wei A Consistency improving method in the analytic hierarchy process European J. Oper. Res. 116 1999 443 449
30. Q. Zhang, J.C.H. Chen, Y.-Q. He, J. Ma, and D.-N. Zhou Multiple attribute decision making: approach integrating subjective and objective information Internat. J. Manuf. Technol. Management 5 2003 338 361
31. H.J. Zimmermann Fuzzy Set Theory and its Applications 1991 Kluwer Dordrecht