Evenly Convex Credal Sets

Fabio G. Cozman
Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications, PMLR 62:109-120, 2017.

Abstract

An evenly convex credal set is a set of probability measures that is evenly convex that is, a set that is an intersection of open halfspaces. An evenly convex credal set can for instance encode preference judgments through strict and non-strict inequalities such as $P(A) > 1/2$ and $P(A) ≤2/3$. This paper presents an axiomatization of evenly convex sets from preferences, where we introduce a new (and very weak) Archimedean condition.

Cite this Paper

BibTeX
@InProceedings{pmlr-v62-cozman17a, title = {Evenly Convex Credal Sets}, author = {Cozman, Fabio G.}, booktitle = {Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications}, pages = {109--120}, year = {2017}, editor = {Antonucci, Alessandro and Corani, Giorgio and Couso, Inés and Destercke, Sébastien}, volume = {62}, series = {Proceedings of Machine Learning Research}, month = {10--14 Jul}, publisher = {PMLR}, pdf = {http://proceedings.mlr.press/v62/cozman17a/cozman17a.pdf}, url = {https://proceedings.mlr.press/v62/cozman17a.html}, abstract = {An evenly convex credal set is a set of probability measures that is evenly convex that is, a set that is an intersection of open halfspaces. An evenly convex credal set can for instance encode preference judgments through strict and non-strict inequalities such as $P(A) > 1/2$ and $P(A) ≤2/3$. This paper presents an axiomatization of evenly convex sets from preferences, where we introduce a new (and very weak) Archimedean condition.} }
Endnote
%0 Conference Paper %T Evenly Convex Credal Sets %A Fabio G. Cozman %B Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications %C Proceedings of Machine Learning Research %D 2017 %E Alessandro Antonucci %E Giorgio Corani %E Inés Couso %E Sébastien Destercke %F pmlr-v62-cozman17a %I PMLR %P 109--120 %U https://proceedings.mlr.press/v62/cozman17a.html %V 62 %X An evenly convex credal set is a set of probability measures that is evenly convex that is, a set that is an intersection of open halfspaces. An evenly convex credal set can for instance encode preference judgments through strict and non-strict inequalities such as $P(A) > 1/2$ and $P(A) ≤2/3$. This paper presents an axiomatization of evenly convex sets from preferences, where we introduce a new (and very weak) Archimedean condition.
APA
Cozman, F.G.. (2017). Evenly Convex Credal Sets. Proceedings of the Tenth International Symposium on Imprecise Probability: Theories and Applications, in Proceedings of Machine Learning Research 62:109-120 Available from https://proceedings.mlr.press/v62/cozman17a.html.

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