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Choice Functions and Rejection Sets

Enrique Miranda (UGent), Arthur Van Camp (UGent) and Gert De Cooman (UGent)
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Abstract
We establish an equivalent representation of coherent choice functions in terms of a family of rejection sets, and investigate how each of the coherence axioms translates into this framework. In addition, we show that this family allows to simplify the verification of coherence in a number of particular cases.

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Chicago
Miranda, Enrique, Arthur Van Camp, and Gert De Cooman. 2018. “Choice Functions and Rejection Sets.” In The Mathematics of the Uncertain, ed. Eduardo Gil, Eva Gil, Juan Gil, and María Ángeles Gil. Springer International Publishing.
APA
Miranda, E., Van Camp, A., & De Cooman, G. (2018). Choice Functions and Rejection Sets. In E. Gil, E. Gil, J. Gil, & M. Á. Gil (Eds.), The Mathematics of the Uncertain. Springer International Publishing.
Vancouver
1.
Miranda E, Van Camp A, De Cooman G. Choice Functions and Rejection Sets. In: Gil E, Gil E, Gil J, Gil MÁ, editors. The Mathematics of the Uncertain. Springer International Publishing; 2018.
MLA
Miranda, Enrique, Arthur Van Camp, and Gert De Cooman. “Choice Functions and Rejection Sets.” The Mathematics of the Uncertain. Ed. Eduardo Gil et al. Springer International Publishing, 2018. Print.
@incollection{8570498,
  abstract     = {We establish an equivalent representation of coherent choice functions in terms of a family of rejection sets, and investigate how each of the coherence axioms translates into this framework. In addition, we show that this family allows to simplify the verification of coherence in a number of particular cases.},
  author       = {Miranda, Enrique and Van Camp, Arthur and De Cooman, Gert},
  booktitle    = {The Mathematics of the Uncertain},
  editor       = {Gil, Eduardo and Gil, Eva and Gil, Juan and Gil, Mar{\'i}a {\'A}ngeles},
  isbn         = {9783319738475},
  issn         = {2198-4182},
  publisher    = {Springer International Publishing},
  title        = {Choice Functions and Rejection Sets},
  url          = {http://dx.doi.org/10.1007/978-3-319-73848-2\_29},
  year         = {2018},
}

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