Measure of Operators Associated with Fuzzy Automata

Priyanka Pal (), S. P. Tiwari and J. Kavikumar ()
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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

New Mathematics and Natural Computation (NMNC), 2020, vol. 16, issue 01, 17-35

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.

Keywords: M-valued automaton; L-valued operators; M-valued operators; measure of operators; ML-graded topology/co-topology; homomorphism (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S1793005720500027

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