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Fuzzy Regular Languages Based on Residuated Lattice
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Fuzzy Regular Languages Based on Residuated Lattice

Author

Listed:
  • Anupam K. Singh

    (Department of Mathematics, C. M. College, A Constituent Unit of Lalit Narayan Mithila University, Darbhanga, Bihar 846004, India)

  • S. P. Tiwari

    (Department of Mathematics & Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India)

Abstract

The purpose of this work is to introduce the concept of fuzzy regular languages (FRL) accepted by fuzzy finite automata, and try to introduce the categorical look of fuzzy languages where the codomain of membership functions are taken as a complete residuated lattice, instead of [0,1]. Also, we have introduced pumping lemma for FRL, which is used to establish a necessary and sufficient condition for a given fuzzy languages to be non-constant.

Suggested Citation

  • Anupam K. Singh & S. P. Tiwari, 2020. "Fuzzy Regular Languages Based on Residuated Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 363-376, July.
    • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:02:n:s1793005720500222
    DOI: 10.1142/S1793005720500222
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    Cited by:

    1. Ai Liu & Shun Wang & Luis Soares Barbosa & Meng Sun, 2021. "Fuzzy Automata as Coalgebras," Mathematics, MDPI, vol. 9(3), pages 1-21, January.

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