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Logics for belief functions on MV-algebras

AuthorsFlaminio, Tommaso ; Godo, Lluis ; Marchioni, Enrico
KeywordsModal logics
Fuzzy events
Belief functions
Lukasiewicz logic
Issue Date2013
CitationInternational Journal of Approximate Reasoning 54 (4): 491- 512 (2013)
AbstractIn 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.
Identifiersdoi: 10.1016/j.ijar.2012.08.006
issn: 0888-613X
Appears in Collections:(IIIA) Artículos
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