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Título: | A logic for reasoning about the probability of fuzzy events |
Autor: | Flaminio, Tommaso CSIC ORCID ; Godo, Lluis CSIC ORCID | Palabras clave: | State and conditional states on MV-algebras Fuzzy events Standard completeness Łukasiewicz logic |
Fecha de publicación: | 2007 | Editor: | Elsevier | Citación: | Fuzzy Sets and Systems 158: 625- 638 (2007) | Resumen: | 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. | URI: | http://hdl.handle.net/10261/159956 | DOI: | 10.1016/j.fss.2006.11.008 | Identificadores: | doi: 10.1016/j.fss.2006.11.008 issn: 0165-0114 |
Aparece en las colecciones: | (IIIA) Artículos |
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