Some issues on consistency of fuzzy preference relations

European Journal of Operational Research

Volumn 154, Issue 1, 2004, Pages 98-109

  Herrera Viedma, E ^a   Herrera, F ^a   Chiclana, F ^a   Luque, M ^a  

^a UNIVERSITY OF GRANADA   (Spain)

Author keywords

Consistency; Decision making; Fuzzy preference relations; Multiplicative preference relations; Reciprocity

Indexed keywords

DECISION MAKING; FUNCTION EVALUATION; FUZZY CONTROL; PROBLEM SOLVING;

DECISION PROCESS; FUZZY PREFERENCE RELATIONS;

OPERATIONS RESEARCH;

EID: 0344011954     PISSN: 03772217     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-2217(02)00725-7     Document Type: Article

References (17)

1. Aczél J. Lectures on Functional Equations and Their Applications. 1966;Academic Press, New York.
2. Chiclana F., Herrera F., Herrera-Viedma E. Integrating three representation models in fuzzy multipurpose decision making based on fuzzy preference relations. Fuzzy Sets and Systems. 97:1998;33-48.
3. Chiclana F., Herrera F., Herrera-Viedma E. Integrating multiplicative preference relations in a multipurpose decision making model based on fuzzy preference relations. Fuzzy Sets and Systems. 112:2001;277-291.
4. Cutello V., Montero J. Fuzzy rationality measures. Fuzzy Sets and Systems. 62:1994;39-54.
5. Dubois D., Prade H. Fuzzy Sets and Systems: Theory and Application. 1980;Academic Press, New York.
6. Fodor J., Roubens M. Fuzzy Preference Modelling and Multicriteria Decision Support. 1994;Kluwer, Dordrecht.
7. Herrera F., Herrera-Viedma E., Chiclana F. Multiperson decision making based on multiplicative preference relations. European Journal of Operational Research. 129:2001;372-385.
8. Herrera F., Herrera-Viedma E., Verdegay J.L. A rational consensus model in group decision making using linguistic assessments. Fuzzy Sets and Systems. 88:1997;31-49.
9. Luce R.D., Suppes P. Preferences utility and subject probability. Luce R.D., et al. Handbook of Mathematical Psychology. vol. III:1965;249-410 Wiley, New York.
10. Miller G.A. The magical number seven or minus two: Some limits on our capacity of processing information. Psychological Review. 63:1956;81-97.
11. Saaty Th.L. The Analytic Hierarchy Process. 1980;McGraw-Hill, New York.
12. Saaty Th.L. Fundamentals of Decision Making and Priority Theory with the AHP. 1994;RWS Publications, Pittsburgh.
13. Sen A.K. Social choice theory: A re-examination. Econometrica. 45:1977;53-89.
14. Tanino T. Fuzzy preference orderings in group decision making. Fuzzy Sets and Systems. 12:1984;117-131.
15. Tanino T. Fuzzy preference relations in group decision making. Kacprzyk J., Roubens M. Non-Conventional Preference Relations in Decision Making. 1988;54-71 Springer-Verlag, Berlin.
16. Triantaphyllou E. Multi-Criteria Decision Making Methods: A Comparative Study. 2000;Kluwer Academic Publishers, Dordrecht.
17. Zimmermann H.-J. Fuzzy Set Theory and Its Applications. 1991;Kluwer, Dordrecht.