Fuzzy logic programming via multilattices

  • Authors:
  • Jesús Medina;Manuel Ojeda-Aciego;Jorge Ruiz-Calviòo

  • Affiliations:
  • Dept. Matemática Aplicada, Universidad de Málaga, Spain;Dept. Matemática Aplicada, Universidad de Málaga, Spain;Dept. Matemática Aplicada, Universidad de Málaga, Spain

  • Venue:
  • Fuzzy Sets and Systems
  • Year:
  • 2007

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Abstract

We investigate the use of multilattices as the set of truth-values underlying a general fuzzy logic programming framework. On the one hand, some theoretical results about ideals of a multilattice are presented in order to provide an ideal-based semantics; on the other hand, a restricted semantics, in which interpretations assign elements of a multilattice to each propositional symbol, is presented and analysed.