Publication: An extension of the axioms of utility theory based on fuzzy rationality measures
Loading...
Full text at PDC
Publication Date
2000
Authors
Advisors (or tutors)
Journal Title
Journal ISSN
Volume Title
Publisher
Physica-Verlag
Citations
Exportar
Abstract
We present here a (better yet, the problems involved with a) generalization of classical utility theory when basic preferences are stated by means of “rational” fuzzy preference relations. Rationality of fuzzy preference relations will be measured according to general fuzzy rationality measures. A utility function is proposed and introduced by using a “boosting” procedure on the fuzzy preference relations which may assure a linearization of the alternatives, still maintaining or improving rationality.
Description
UCM subjects
Unesco subjects
Keywords
Citation
V. Cutello and J. Montero, A model for amalgamation in group decision making, in: J. Villareal, Ed., NAFIPS ‘82, vol. 1 ( N.A.S.A. Conference Publications, Houston, 1992 ) 215–223.
V. Cutello and J. Montero. An axiomatic approach to fuzzy rationality. In: K.C. Min, Ed., IFSA’93 (Korea Fuzzy Mathematics and Systems Society, Seoul, 1993 ), 634–636.
V. Cutello and J. Montero. Equivalence of Fuzzy Rationality Measures. In: H.J. Zimmermann, Ed., EUFIT’93 ( Elite Foundation, Aachen, 1993 ), vol. 1, 344–350.
V. Cutello and J. Montero. Fuzzy rationality measures. Fuzzy sets and Systems 62: 39–54, 1994.
V. Cutello and J. Montero. Equivalence and Composition of Fuzzy rationality measures. Fuzzy sets and Systems, 85 (1): 31–43, 1997.
V. Cutello, J. Montero and G. Sorace On the computational complexity of computing fuzzy rationality degrees In Proceedings of IPMU’96, Information Processing and Management of Uncertainty in Knowledge-Based Systems,B. Bouchon-Meunier, M. Delgado, J.L. Verdegay, M.A. Vila and R.R. Yager, Eds.; pp. 471–475, Granada, July 1–5, 1996, Spain.
V. Cutello and J. Montero. Intelligent agents, fuzzy preferences and utilities. In Proceedings of IPMU’98, Information Processing and Management of Uncertainty in Knowledge-Based Systems,July 1998, Paris, France.
V. Cutello and J. Montero. Fuzzy Rationality and Utility theory axioms. In Proceedings of NAFIPS’99, North American Fuzzy Information Processing Society Conference, New York, NY, 1999, pp. 332–336.
G. Debreu Topological methods in cardinal utility theory In K.J. Arrow, S. Karlin, P. Suppes, Eds. Mathematical Methods in the Social Sciences, Stanford University Press, 1959.
D. Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications ( Academic Press, New York, 1980 ).
J.C. Fodor and M. Roubens. Preference modelling and aggregation procedures with valued binary relations. In: R. Lowen and M. Roubens, Eds., Fuzzy Logic ( Kluwer Academic Press, Amsterdam, 1993 ), 29–38.
J.C. Fodor and M. Roubens. Valued preference structures. European Journal of Operational Research 79: 277–286 (1994).
J. Fodor and M. Roubens Fuzzy modelling and multicriteria decision support. Kluwer, Dordrecht, 1994.
L. Kitainik. Fuzzy Decision Procedures with Binary Relations. Kluwer Academic Pub., Boston, 1993. CrossRef
J. Montero and J. Tejada, A necessary and sufficient condition for the existence of Orlovsky’s choice set, Fuzzy Sets and Systems 26 (1988) 121–125.
J. Montero, J. Tejada and V.Cutello. A general model for deriving preference structures from data. European Journal of Operational Research, 98: 98–100, 1997.
K. Nakamura. Preference relations on a set of fuzzy utilities as a basis for decision making. Fuzzy Sets and Systems, 20: 147–162, 1986.
A.M. Norwich and I.B. Turksen. A model for the measurement of membership and the consequences of its empirical implementation. Fuzzy Sets and Systems, 12: 1–25 (1984).
S.E. Orlovski. Calculus of Decomposable Properties, Fuzzy Sets and Decisions. Allerton Press, New York, 1994.
P.K. Pattanaik, Voting and collective choice ( Cambridge University Press, Cambridge, 1971 ).
S. Russell and P. Norvig. Artificial Intelligence: A modern approach. Prentice Hall, 1995.
A.K. Sen, Collective choice and social welfare ( Holden-Day, San Francisco, 1970 ).
U. Thole, H.J. Zimmermann and P. Zysno. On the suitability of minimum and product operators for the intersection of fuzzy sets. Fuzzy sets and Systems, 2: 167–180 (1979).