On Some Applications of the Vougiouklis Hyperstructures to Probability Theory
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 meaning...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Accademia Piceno Aprutina dei Velati
2017-12-01
|
| Series: | Ratio Mathematica |
| Subjects: | |
| Online Access: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/372 |
| _version_ | 1819062834561024000 |
|---|---|
| author | Antonio Maturo Fabrizio Maturo |
| author_facet | Antonio Maturo Fabrizio Maturo |
| author_sort | Antonio Maturo |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-21T15:05:05Z |
| format | Article |
| id | doaj.art-c5c9bc8063e0443aa5b022ab92ad146b |
| institution | Directory Open Access Journal |
| issn | 1592-7415 2282-8214 |
| language | English |
| last_indexed | 2024-12-21T15:05:05Z |
| publishDate | 2017-12-01 |
| publisher | Accademia Piceno Aprutina dei Velati |
| record_format | Article |
| series | Ratio Mathematica |
| spelling | doaj.art-c5c9bc8063e0443aa5b022ab92ad146b2022-12-21T18:59:28ZengAccademia Piceno Aprutina dei VelatiRatio Mathematica1592-74152282-82142017-12-0133052010.23755/rm.v33i0.372364On Some Applications of the Vougiouklis Hyperstructures to Probability TheoryAntonio Maturo0Fabrizio Maturo1Department of Architecture, University of Chieti-Pescara, ItalyDepartment of Management and Business Administration, University of Chieti-Pescara, ItalySome 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.http://eiris.it/ojs/index.php/ratiomathematica/article/view/372algebraic hyperstructuressubjective probabilityHv structuresjoin spaces |
| spellingShingle | Antonio Maturo Fabrizio Maturo On Some Applications of the Vougiouklis Hyperstructures to Probability Theory Ratio Mathematica algebraic hyperstructures subjective probability Hv structures join spaces |
| title | On Some Applications of the Vougiouklis Hyperstructures to Probability Theory |
| title_full | On Some Applications of the Vougiouklis Hyperstructures to Probability Theory |
| title_fullStr | On Some Applications of the Vougiouklis Hyperstructures to Probability Theory |
| title_full_unstemmed | On Some Applications of the Vougiouklis Hyperstructures to Probability Theory |
| title_short | On Some Applications of the Vougiouklis Hyperstructures to Probability Theory |
| title_sort | on some applications of the vougiouklis hyperstructures to probability theory |
| topic | algebraic hyperstructures subjective probability Hv structures join spaces |
| url | http://eiris.it/ojs/index.php/ratiomathematica/article/view/372 |
| work_keys_str_mv | AT antoniomaturo onsomeapplicationsofthevougiouklishyperstructurestoprobabilitytheory AT fabriziomaturo onsomeapplicationsofthevougiouklishyperstructurestoprobabilitytheory |