Logics for belief functions on MV-algebras

Tommaso Flaminio, Lluís Godo, Enrico Marchioni

Research output: Contribution to journalArticle

11 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)491-512
Number of pages22
JournalInternational Journal of Approximate Reasoning
Volume54
Issue number4
DOIs
Publication statusPublished - Jun 2013

Bibliographical note

Copyright 2012 Elsevier B.V., All rights reserved.

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Applied Mathematics
  • Software
  • Artificial Intelligence

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