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Possibilistic Semantics for a Modal KD45 Extension of Gödel Fuzzy Logic

  • Félix Bou
  • Francesc Esteva
  • Lluís GodoEmail author
  • Ricardo Oscar Rodriguez
Conference paper
Part of the Communications in Computer and Information Science book series (CCIS, volume 611)

Abstract

In this paper we provide a simplified semantics for the logic \(KD45(\mathbf {G})\), i.e. the many-valued Gödel counterpart of the classical modal logic KD45. More precisely, we characterize \(KD45(\mathbf {G})\) as the set of valid formulae of the class of possibilistic Gödel Kripke Frames \(\langle W, \pi \rangle \), where W is a non-empty set of worlds and \(\pi : W \rightarrow [0, 1]\) is a normalized possibility distribution on W.

Notes

Acknowledgments

The authors are grateful to the anonymous reviewers for their helpful comments. They acknowledge partial support by the H2020-MSCA-RISE-2015 project SYSMICS, the Spanish MINECO/FEDER project RASO (TIN2015-71799-C2-1-P) and the Argentinean project PIP CONICET 11220150100412CO.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Félix Bou
    • 1
  • Francesc Esteva
    • 1
  • Lluís Godo
    • 1
    Email author
  • Ricardo Oscar Rodriguez
    • 2
  1. 1.Artificial Intelligence Research Institute, IIIA - CSICBellaterraSpain
  2. 2.Departamento de ComputaciónFCEyN - UBABuenos AiresArgentina

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