Abstract
The concepts of fuzzy event and fuzzy probability are introduced by Zadeh in [13] and [16]. In particular linguistic probabilities are considered. In the same period de Finetti in [3] assumes a point of view close to that of Zadeh with the consideration of qualitative probability.
The theories of Zadeh and de Finetti differ substantially in expressing linguistic (resp. qualitative) probabilities with numbers. While de Finetti, treating the subjective probability, assumes that probabilities are real numbers belonging to [0, 1], Zadeh, introducing the fuzzy probability, sees probabilities as fuzzy numbers contained in [0, 1].
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Maturo, A., Ventre, A.G.S. (2013). Zadeh Fuzzy Probability, De Finetti Subjective Probability and Prevision. In: Seising, R., Trillas, E., Moraga, C., Termini, S. (eds) On Fuzziness. Studies in Fuzziness and Soft Computing, vol 298. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35641-4_61
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DOI: https://doi.org/10.1007/978-3-642-35641-4_61
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