Rationality principles for preferences on belief functions

Giulianella Coletti; Davide Petturiti; Barbara Vantaggi

Kybernetika (2015)

  • Volume: 51, Issue: 3, page 486-507
  • ISSN: 0023-5954

Abstract

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A generalized notion of lottery is considered, where the uncertainty is expressed by a belief function. Given a partial preference relation on an arbitrary set of generalized lotteries all on the same finite totally ordered set of prizes, conditions for the representability, either by a linear utility or a Choquet expected utility are provided. Both the cases of a finite and an infinite set of generalized lotteries are investigated.

How to cite

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Coletti, Giulianella, Petturiti, Davide, and Vantaggi, Barbara. "Rationality principles for preferences on belief functions." Kybernetika 51.3 (2015): 486-507. <http://eudml.org/doc/271646>.

@article{Coletti2015,
abstract = {A generalized notion of lottery is considered, where the uncertainty is expressed by a belief function. Given a partial preference relation on an arbitrary set of generalized lotteries all on the same finite totally ordered set of prizes, conditions for the representability, either by a linear utility or a Choquet expected utility are provided. Both the cases of a finite and an infinite set of generalized lotteries are investigated.},
author = {Coletti, Giulianella, Petturiti, Davide, Vantaggi, Barbara},
journal = {Kybernetika},
keywords = {generalized lottery; preference relation; belief function; linear utility; Choquet expected utility; rationality conditions; generalized lottery; preference relation; belief function; linear utility; Choquet expected utility; rationality conditions},
language = {eng},
number = {3},
pages = {486-507},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Rationality principles for preferences on belief functions},
url = {http://eudml.org/doc/271646},
volume = {51},
year = {2015},
}

TY - JOUR
AU - Coletti, Giulianella
AU - Petturiti, Davide
AU - Vantaggi, Barbara
TI - Rationality principles for preferences on belief functions
JO - Kybernetika
PY - 2015
PB - Institute of Information Theory and Automation AS CR
VL - 51
IS - 3
SP - 486
EP - 507
AB - A generalized notion of lottery is considered, where the uncertainty is expressed by a belief function. Given a partial preference relation on an arbitrary set of generalized lotteries all on the same finite totally ordered set of prizes, conditions for the representability, either by a linear utility or a Choquet expected utility are provided. Both the cases of a finite and an infinite set of generalized lotteries are investigated.
LA - eng
KW - generalized lottery; preference relation; belief function; linear utility; Choquet expected utility; rationality conditions; generalized lottery; preference relation; belief function; linear utility; Choquet expected utility; rationality conditions
UR - http://eudml.org/doc/271646
ER -

References

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