Fuzzy Linear Automata and Some Equivalences

Authors

  • Valdigleis S. Costa Doutorando em Ciência da Computação/Programa de Pós-graduação em Sistemas e Computação/Departamento de Informática e Matemática Aplicada/Universidade Federal do Rio Grande do Norte http://orcid.org/0000-0001-8738-5836
  • Benjamin Bedregal Departamento de Informática e Matemática Aplicada/Universidade Federal do Rio Grande do Norte http://orcid.org/0000-0002-6757-7934

DOI:

https://doi.org/10.5540/tema.2018.019.01.127

Keywords:

Fuzzy grammar, Fuzzy linear grammars, Fuzzy Language, Fuzzy Automata

Abstract

In this paper, we present two new normal forms for fuzzy linear grammars that  preserving language. In addition, we introduce two new classes of fuzzy machines, Fuzzy Linear Automata (FLA) and Fuzzy Nondeterministic 2-Tape Automata (2-FNA), we show the equivalence between them and also show that the class of fuzzy languages recognized by these machines is exactly the class of fuzzy linear languages, i.e., FLA and 2-DNA are recognized machines for class of fuzzy linear languages.

Author Biography

Valdigleis S. Costa, Doutorando em Ciência da Computação/Programa de Pós-graduação em Sistemas e Computação/Departamento de Informática e Matemática Aplicada/Universidade Federal do Rio Grande do Norte

Doutorando em Ciência da Computação pelo PPgSC do Departamento de Inforématica e Matemática Aplicada da UFRN

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Published

2018-05-05

How to Cite

Costa, V. S., & Bedregal, B. (2018). Fuzzy Linear Automata and Some Equivalences. Trends in Computational and Applied Mathematics, 19(1), 127. https://doi.org/10.5540/tema.2018.019.01.127

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Section

Original Article