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Measure of Operators Associated with Fuzzy Automata

Author

Listed:
  • Priyanka Pal

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

  • S. P. Tiwari

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

  • J. Kavikumar

    (Department of Mathematics, Faculty of Science, Technology and Human Development, Universiti Tun Hussein Onn Malaysia, Batu Pahat, Malaysia)

Abstract

This paper is toward the study of measure of different operators in fuzzy automata theory, which determine the amount of preciseness of given L-valued subset endowed with an L-valued preorder induced by L-valued transition function of an M-valued automaton. Further, we study the algebraic and topological study of M-valued automata via different L-valued operators and on the basis of homomorphism we examine the behavior of operators associated with an M-valued automaton.

Suggested Citation

  • Priyanka Pal & S. P. Tiwari & J. Kavikumar, 2020. "Measure of Operators Associated with Fuzzy Automata," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 17-35, March.
  • Handle: RePEc:wsi:nmncxx:v:16:y:2020:i:01:n:s1793005720500027
    DOI: 10.1142/S1793005720500027
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