Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

OAI: https://www.revistas.ucr.ac.cr/index.php/matematica/oai
Preference structures, choice functions and their logical form
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Keywords

Binary relation
choice function
logical form
Relación binaria
función de elección
forma lógica

How to Cite

Rodríguez-Galiano, M. I., & González-Pachón, J. (2002). Preference structures, choice functions and their logical form. Revista De Matemática: Teoría Y Aplicaciones, 9(2), 39–50. https://doi.org/10.15517/rmta.v9i2.215

Abstract

Binary relations and choice functions are two different tools for describing DM preferences on a finite set of alternatives. Normal choice functions are the link between these two tools. These choice functions are easily identified using the logical form. In this paper, we analyse normal choice functions from the viewpoint of their logical form.

https://doi.org/10.15517/rmta.v9i2.215
PDF (Español (España))

References

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Bauman, YE.V. (1977) “Choice on Graph and in a Criterial Space”, Automation and remote control. Simulation of behavior and intelligence: 710–721. (Translated from Avtomatika i Telemekhanica 5: 114–126.)

Herzberger, H. (1973) “Ordinal preference and rational choice”, Econometrica 41: 187–237.

Makarov, I.M.; Vinogradskaya, T.M.; Rubchinsky, A.A.; Sokolov, V.B. (1987) The Theory of Choice and Decision Making. Mir Publishers Moscow.

Rodríguez-Galiano, M.I.; González-Pachón, J. (2001) “Characterization of certain orders using their associated choice functions”, European Journal of Operational Research 132: 619–627.

Roubens, M.; Vincke, Ph. (1985) Preference Modelling. LNEMS 250, Springer-Verlag.

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