|Title||Logics for belief functions on MV-algebras|
|Publication Type||Journal Article|
|Year of Publication||2013|
|Authors||Flaminio T, Godo L, Marchioni E|
|Journal||International Journal of Approximate Reasoning|
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.
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