Geodesic
Rationality principles for preferences on belief functions
Kybernetika, Tome 51 (2015) no. 3, pp. 486-507
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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.
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.
DOI : 10.14736/kyb-2015-3-0486
Classification : 91B06, 91B16
Keywords: generalized lottery; preference relation; belief function; linear utility; Choquet expected utility; rationality conditions 
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Coletti, Giulianella; Petturiti, Davide; Vantaggi, Barbara. Rationality principles for preferences on belief functions. Kybernetika, Tome 51 (2015) no. 3, pp. 486-507. doi: 10.14736/kyb-2015-3-0486

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