Fuzzy local ω-systems

  • Authors:
  • R. Arulprakasam;V. R. Dare;S. Gnanasekaran

  • Affiliations:
  • Department of Mathematics, SRM University, Kattankulathur, Kancheepuram - Dist 603 203, India;Madras Christian College, Tambaram, Chennai 600 059, India;Periyar Arts College, Cuddalore 607 001, India

  • Venue:
  • Journal of Discrete Algorithms
  • Year:
  • 2013

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Abstract

The natural language computing today demands for the study of @w-languages. Therefore in this respect it is convenient to consider fuzzy @w-languages. In this paper, the concept of fuzzy local @w-language, Buchi fuzzy local @w-language, and some closure properties of fuzzy local @w-languages are presented. We introduce deterministic fuzzy finite automaton with different acceptance mode on fuzzy @w-languages and establish the relationship between these various classes of fuzzy @w-languages. We have defined deterministic fuzzy local automaton and also establish relationships between deterministic fuzzy local automaton, fuzzy local @w-language and Buchi fuzzy local @w-language. Further we show that every fuzzy regular @w-language is a projection of a Buchi fuzzy local @w-language.