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Subsystems and Fuzzy Relation Equations of Fuzzy Automata Based on Generalized 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)

  • Vinay Gautam

    (Department of Applied Sciences, Galgotia College of Engineering and Technology, Knowledge Park, Phase II, Greater Noida 201306, India)

Abstract

The objective of this paper is to establish the concepts of subsystems, reverse subsystems and double subsystems of a fuzzy automata based on generalized residuated lattices where the fuzzy sets are equipped with generalized residuated lattice in which the commutative property does not hold and characterizes them in terms of fuzzy relation inequalities and equations. Also, the opening and closure systems in the lattices of fuzzy subsets of Q can be discussed for these six subsystems.

Suggested Citation

  • Anupam K. Singh & Vinay Gautam, 2021. "Subsystems and Fuzzy Relation Equations of Fuzzy Automata Based on Generalized Residuated Lattice," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 17(03), pages 607-621, November.
    • Handle: RePEc:wsi:nmncxx:v:17:y:2021:i:03:n:s1793005721500307
    DOI: 10.1142/S1793005721500307
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