An approach to the concept of fuzzy event as an extension of conditional event is introduced. The probability of fuzzy events is presented as an extension of the de Finetti's probability of conditional events and depends on a score function subjectively assigned by an expert. It is shown that the introduced fuzzy probability extends in a fuzzy ambit the conditions considered by Dubins for finitely additive conditional probability. Possible applications for decision-making under uncertainty are sketched.
On an extension of the Dubins conditional probability axiomatic to coherent probability of fuzzy events
Fabrizio Maturo
2018
Abstract
An approach to the concept of fuzzy event as an extension of conditional event is introduced. The probability of fuzzy events is presented as an extension of the de Finetti's probability of conditional events and depends on a score function subjectively assigned by an expert. It is shown that the introduced fuzzy probability extends in a fuzzy ambit the conditions considered by Dubins for finitely additive conditional probability. Possible applications for decision-making under uncertainty are sketched.File in questo prodotto:
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