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Título: | Logics for belief functions on MV-algebras |
Autor: | Flaminio, Tommaso CSIC ORCID ; Godo, Lluis CSIC ORCID ; Marchioni, Enrico | Palabras clave: | Modal logics Fuzzy events Belief functions Lukasiewicz logics MV-algebras |
Fecha de publicación: | 2013 | Editor: | Elsevier | Citación: | International Journal of Approximate Reasoning 54 (4): 491- 512 (2013) | Resumen: | In this paper we present a generalization of belief functions over fuzzy events. In particular we focus on belief functions defined in the algebraic framework of finite MV-algebras of fuzzy sets. We introduce a fuzzy modal logic to formalize reasoning with belief functions on many-valued events. We prove, among other results, that several different notions of belief functions can be characterized in a quite uniform way, just by slightly modifying the complete axiomatization of one of the modal logics involved in the definition of our formalism. © 2012 Elsevier Inc. All. | URI: | http://hdl.handle.net/10261/133451 | DOI: | 10.1016/j.ijar.2012.08.006 | Identificadores: | doi: 10.1016/j.ijar.2012.08.006 issn: 0888-613X |
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IJAR54(4)_491-512.pdf | 428,41 kB | Adobe PDF | Visualizar/Abrir |
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