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dc.contributor.author | Flaminio, Tommaso | - |
dc.contributor.author | Godo, Lluis | - |
dc.date.accessioned | 2018-01-31T14:01:06Z | - |
dc.date.available | 2018-01-31T14:01:06Z | - |
dc.date.issued | 2007 | - |
dc.identifier | doi: 10.1016/j.fss.2006.11.008 | - |
dc.identifier | issn: 0165-0114 | - |
dc.identifier.citation | Fuzzy Sets and Systems 158: 625- 638 (2007) | - |
dc.identifier.uri | http://hdl.handle.net/10261/159956 | - |
dc.description.abstract | In this paper we present the logic FP (Łn, Ł) which allows to reason about the probability of fuzzy events formalized by means of the notion of state in a MV-algebra. This logic is defined starting from a basic idea exposed by Hájek [Metamathematics of Fuzzy Logic, Kluwer, Dordrecht, 1998]. Two kinds of semantics have been introduced, namely the class of weak and strong probabilistic models. The main result of this paper is a completeness theorem for the logic FP (Łn, Ł) w.r.t. both weak and strong models. We also present two extensions of FP (Łn, Ł): the first one is the logic FP (Łn, RPL), obtained by expanding the FP (Łn, Ł)-language with truth-constants for the rationals in [0, 1], while the second extension is the logic FCP (Łn, Ł Π frac(1, 2)) allowing to reason about conditional states. © 2006 Elsevier B.V. All rights reserved. | - |
dc.description.sponsorship | T. Flaminio acknowledges partial support of Graduated School Lo.M.I.T. from the University of Siena. L. Godo acknowledges partial support of the Spanish project MULOG TIN2004-07933-C03-01. | - |
dc.publisher | Elsevier | - |
dc.relation.isversionof | Publisher's version | - |
dc.rights | openAccess | - |
dc.subject | State and conditional states on MV-algebras | - |
dc.subject | Fuzzy events | - |
dc.subject | Standard completeness | - |
dc.subject | Łukasiewicz logic | - |
dc.title | A logic for reasoning about the probability of fuzzy events | - |
dc.type | artículo | - |
dc.identifier.doi | 10.1016/j.fss.2006.11.008 | - |
dc.date.updated | 2018-01-31T14:01:06Z | - |
dc.description.version | Peer Reviewed | - |
dc.language.rfc3066 | eng | - |
dc.contributor.funder | Università degli Studi di Siena | - |
dc.contributor.funder | Consejo Superior de Investigaciones Científicas (España) | - |
dc.identifier.funder | http://dx.doi.org/10.13039/501100003339 | es_ES |
dc.type.coar | http://purl.org/coar/resource_type/c_6501 | es_ES |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.grantfulltext | open | - |
item.openairetype | artículo | - |
item.fulltext | With Fulltext | - |
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FSS158(2007)_625-38.pdf | 198,68 kB | Adobe PDF | Visualizar/Abrir |
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