ON AN EXTENSION OF THE DUBINS CONDITIONAL PROBABILITY AXIOMATIC TO COHERENT PROBABILITY OF FUZZY EVENTS
Keywords:
conditional events, finitely additive conditional probability, fuzzy events, fuzzy probability, decision-making under uncertaintyAbstract
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.
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Published
2018-02-28
How to Cite
Maturo, F. (2018). ON AN EXTENSION OF THE DUBINS CONDITIONAL PROBABILITY AXIOMATIC TO COHERENT PROBABILITY OF FUZZY EVENTS. Italian Journal of Pure and Applied Mathematics, 39, 810–821. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6843
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Section
Articoli - Forum Editrice
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Copyright (c) 2018 Fabrizio Maturo
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
