On Some Applications of the Vougiouklis Hyperstructures to Probability Theory

Autor: Antonio Maturo, Fabrizio Maturo
Jazyk: angličtina
Rok vydání: 2017
Předmět:
Zdroj: Ratio Mathematica, Vol 33, Iss 0, Pp 5-20 (2017)
Druh dokumentu: article
ISSN: 1592-7415
2282-8214
DOI: 10.23755/rm.v33i0.372
Popis: Some important concepts about algebraic hyperstructures, especially from a geometric point of view, are recalled. Many applications of the Hv structures, introduced by Vougiouklis in 1990, to the de Finetti subjective probability theory are considered. We show how the wealth of probabilistic meanings of Hv-structures confirms the importance of the theoretical results obtained by Vougiouklis. Such results can be very meaningful also in many application fields, such as decision theory, highly dependent on subjective probability.
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