Twenty years of fuzzy preference structures (1978-1997);Vent'anni di struttura di preferenza fuzzy

Decisions in Economics and Finance

Volumn 20, Issue 1, 1997, Pages 45-66

  De Beats, Bernard ^a   Fodor, János C ^b  

^a GHENT UNIVERSITY   (Belgium)

^b Institute of Mathematics and Councelor Science   (Hungary)

Author keywords

De morgan triplet; Fuzzy preference structure; Fuzzy relation; Incomparability; Indifference; Strict preference; T term

Indexed keywords

EID: 53249098714     PISSN: 15938883     EISSN: 11296569     Source Type: Journal    
DOI: 10.1007/bf02688988     Document Type: Article

References (48)

1. ALSINA C., On a family of connectives for fuzzy sets, Fuzzy Sets and Systems, 16, 1985, 231-235.
2. BILGIC T., Interval-valued preference structure, European Journal of Operationed Research. 105, 1998, 162-183.
3. BILLOT A., Economic Theory of Fuzzy Equilibria. Springer. Berlin, 1995.
4. BLOCK H., MARSCHACK J., Random orderings and stochastic theories of responses. Contributions to Probability and Statistics. I. Olkin, S. Glmrye, W. Hoefding, W. Madow and H. Mann, Stanford University Press, Stanford, California, 1959.
5. BOUYSSOU D., Ranking methods based on valued preference relations: a characterozation of the net flow method, European Journal of Operational Research. 61, 1992, 186-194.
6. DE BAETS B., KERRE E., Fuzzy relations and applications, Advances in Electronics and Electron Physics. P. Hawkes. Academic Press, 89, 1994, 255-324.
7. DE BAETS B., VAN DE WALLE B., Weak and strong fuzzy interval orders, Fuzzy Sets and Systems. 79, 1996, 213-225.
8. DE BAETS B., VAN DE WALLE B., Fuzzy preference modelling based on continuous de Morgan triplets. Proceedings ol the First. International Workshop on Preferences and Decisions (Trento, Italy), 1997, 15-20.
9. DE BAETS B., VAN DE WALLE B., Minimal definitions of classical and fuzzy preference structures, Proceeding of the Animal Meeting of the North American Fuzzy Information Processing Society (Syraense, New York, USA), 1997, 299-304.
10. DE BAETS B., VAN DE WALLE B., KERRE E., Fuzzy preference structures and their characterozation, Journal of Fuzzy Mathematics. 3, 1995, 373-381.
11. DE BAETS B., VAN DE WALLE B., KERRE E., Fuzzy preference structures without incomparability, Fuzzy Sets and Systems. 76, 1995, 333-348.
12. DE BAETS B., VAN DE WALLE B., KERRE E., The Frank t-norm family in fuzzy preference, modelling, Proceedings of the Fourth European Congress on Intelligent Techniques and Soft Computing (Aachen, Germany), H.-J. Zimmermaim, I, ELITE, Aachen, 1990, 78-82.
13. DE BAETS B., VAN DE WALLE B., KERRE E., A two-parameter class of fuzzy preferenee structures, Proceedings of the International Conference on Methods and Applications of Mutlicriteria Decision Making (Mons, Belgium), 1997, 196-199.
14. DE BAETS B., VAN DE WALLE B., KERRE E., A plea for the use of Lukasiewicz triplets in fuzzy preference structures. Part 2: The identity case, Fuzzy Sets and Systems, (to appear).
15. DOIGNON J.-P., MONJARDET B., ROUBENS M., VINCKE PH., Biorder families, valued relations and preference modelling. Journal of Mathematical Psychology, 30, 1986, 435-480.
16. FODOR J. C., Strict, preference relations based on weak t-norms, Fuzzy Sets and Systems, 43, 1991, 327-336.
17. FODOR J. C., An axiomatic, approach, to fuzzy preference modelling, Fuzzy Sets and Systems, 52, 1992, 47-52.
18. FODOR J. C., Preference, modelling using fuzzy sets, Invited Lectures and Tutorials at the EURO XV INFORMS XXXIV Joint International Meeting (Barcelona, Spain). 1997, 227-245.
19. FODOR J. C., ROUBENS M., Fuzzy preference modelling: an overview Annales Univ. Sci. Budapest, Sectio Computatorica, 12, 1901, 93-100.
20. FODOR J. C., ROUBKNS M., Preference modelling and aggregation precedures with valued binary relations, Fuzzy Logic: State of the Art. R. Lowen and M. Roubens. Kluwer Academic Publishers, Dordrecht. 1993, 29-38.
21. FODOR J. C., ROUBENS M., Fuzzy Preference Modilling and Multicriteria Decision, Support, Kluver Academic Publishers, Dordrecht., 1994.
22. FODOR J. C., ROUBENS M., Valued preference, structures, European Journal of Operational Research, 79, 1991, 277-286.
23. FRANK M., On the simultaneous associativity F (x,y) and x+y-F(x,y), Aeqrationes Mathematicae, 19, 1979, 191-220.
24. LUCE R., Individual Choice Behaviour, Wiley, New York, 1959.
25. MENGER K., Proliabilistic theory of relations, Proc, Nat, Acad. Sci (Math.) 37, 1951, 178-180.
26. MONTERO J., Social welfare functions in a fuzzy environment, Kyoermatos, 16, 1987, 241-215.
27. MONTERO J., TEJADA J., Some problems on the definition of fuzzy preference relations, Fuzzy Sets and Systems, 20, 1986, 45-53.
28. MONTERO J., TEJADA J., CUTELLO V., Fuzzy preferences in knowledge-based systems, Foundations and Applications of Possibility Theory. G. De Cooman et al., Proceedings of the International Workshop on the Foundations and Applications of Possibility Theory (Gent, Belgium). World Scientific Publishing, Singapore, 1995, 316-321.
29. OBLOVSKI S., Decision-making with a fuzzy preference relation, Fuzzy Sets and Systems, 1, 1978, 155-167.
30. ORLOVSKI S., Calculus of Decomposable Properties, fuzzy Sets, and Decisions, Allerton Press, New York. 1994.
31. OVCRINNIKOV S., Structure, of fuzzy binary relations, Fuzzy Sets and Systems, 6, 1981, 169-195,
32. OVCHINNIKOV S., Modelling valued preference relations, Multiperson Decision Making Using Fuzzy Sets and Possibility Theory, J. Kacprzyk and M. Fedrizzi, Kluwer Academic Publishers, Dordrecht, 1990, 64-70.
33. OVCHINNIKOV S., OZERNOY V., Using fuzzy binary relations for identifying noninferior decision alternatives, Fuzzy Sets and Systems, 25, 1988, 21-32.
34. OVCHINNFKOV S., ROUBENS M., On strict preference, relations, Fuzzy Sets and Systems, 43, 1991, 319-326.
35. OVOHINNIKOV S., ROUBENS M., On fuzzy strict preference, indifference and incomparability relations, Fuzzy Sets and Systems, 47, 1992, 313-318.
36. PERNY P., ROY B., 'The use of fuzzy outmarking relations in preference modelling, Fuzzy Sets and Systems, 49, 1992, 33-53.
37. ROBERTS F., Measurement 'Theory with Applications to Decisionmaking, Utility and the Social Sciences, Addison-Wesley, Reading, 1970.
38. ROUBENS M., Some properties of choice functions based on valued binary relations, European Journal of Operational Research. 40, 1989, 309-321.
39. ROUBENS M., VINCKE PH., Preference madeling. Lecture Notes in Economics and Mathematical Systems 250, Springer-Vorlag, Berlin, 1985.
40. ROUBENS M., VINCKE PH., Fuzzy preferences in on optimization perspective, Optimization Models Using Fuzzy Sets and Possibility Theory, J. Kacprzyk and A.A. Orlovski, D. Reidel Publishing Company, Dordrecht, 1987, 77-90.
41. ROY B., VANDERPOOTEN D., The European school of MCDA: A historical review. Invited Lectures and Tutorials at the XIVth EURO Conference (Jerusalem, Israel), 39-65, 1995.
42. SCHWEIZER B., SKLAR A., Probabilistic metric spaces. Elsevier Science, New York. 1983.
43. TRILLAS E., Sabre functions decigen on de paliotics responses defuses Stochastica, 3, 1979, 47-59.
44. VAN DE WALLE B., The existence und characterization of fuzzy preference structures. Ph.D. thesis, University of Gent. 1996. in Dutch.
45. VAN DE WALLE B., DE BAETS H., KERRE E., A comparative, study of completeness conditions in fuzzy preference structures. Proceedings of the Seventh International Fuzzy Systems Association Congress (Prague, Czech Republic). 1997, Academia, III, 74-79.
46. VAN DE WALLE B., DE BAETS B., KERRE E., A pleg for the use of Lukasiewicz triplets in fuzzy preference structures. Part 1: General argumentation. Fuzzy Sets and Systems, (to appear).
47. VAN DE WALLE B., DE BAETS B., KERRE E.. Characterizable fuzzy preference structures, Annals of Operations Research, Special Issue "Preference modelling". D. Bouysson and Ph. Vincke, 1998, 'to appear).
48. ZAUEH L., Fuzzy sets. Information and Control, 8, 1965, 338-353.