Abstract
A theory of a valued weak preference relation is described. The transitivity property of a strict preference relation and indifference relation associated with a weak preference relation is established.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Dubois and H. Prade, Fuzzy Sets and Systems: Theory and Applications ( Academic Press, New York, 1980 )
P.C. Fishburn, Binary choice probabilities: on the varieties of stochastic transitivity, J. Math. Psychol., 10 (1973) 329–352.
E.P. Klement, Operations on fuzzy sets and fuzzy numbers related to triangular norms, in: Proc. of the 11th ISMVL, University of Oklahoma, 1981, 218–225.
D.H. Krantz, R.D. Luce, P.Suppes, and A. Tversky, Foundations of Measurement (Academic Press New York, 1971 ).
S. Ovchinnikov and M. Roubens, On strict preference relations, Fuzzy Sets and Systems, to appear.
N. Recher, Many-Valued Logic ( McGraw Hill, New York, 1969 ).
B. Schweizer and A. Sclar, Probabilistic Metric Spaces (North-Holland, Amsterdam, 1983).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1990 Kluwer Academic Publishers
About this chapter
Cite this chapter
Ovchinnikov, S. (1990). Modelling Valued Preference Relations. In: Kacprzyk, J., Fedrizzi, M. (eds) Multiperson Decision Making Models Using Fuzzy Sets and Possibility Theory. Theory and Decision Library, vol 18. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2109-2_5
Download citation
DOI: https://doi.org/10.1007/978-94-009-2109-2_5
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7448-3
Online ISBN: 978-94-009-2109-2
eBook Packages: Springer Book Archive