Fuzzy tree automata

  • Authors:
  • Zoltán Ésik;Guangwu Liu

  • Affiliations:
  • Research Group on Mathematical Linguistics, Rovira i Virgili University, Tarragona 43005, Spain and Department of Computer Science, University of Szeged, 6720, Hungary;Research Group on Mathematical Linguistics, Rovira i Virgili University, Tarragona 43005, Spain and Department of Control Science and Engineering, Huazhong University of Science and Technology, Wu ...

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

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Abstract

In this paper, we map an arbitrary algebra to a completely distributive lattice and define algebras of fuzzy sets. When the algebra is a term algebra, we obtain fuzzy tree languages. After defining fuzzy equational sets, fuzzy rational sets and fuzzy recognizable tree languages, we derive a ''Kleene theorem'' for fuzzy tree languages.