General Fuzzy Finite Switchboard Automata

J. Kavikumar, S. P. Tiwari (), Nur Ain Ebas () and A. H. Nor Shamsidah ()
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J. Kavikumar: Department of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, 86400 Batu Pahat, Malaysia
S. P. Tiwari: #x2020;Department of Applied Mathematics, Indian Institute of Technology (ISM), Dhanbad-826004, India
Nur Ain Ebas: Department of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, 86400 Batu Pahat, Malaysia
A. H. Nor Shamsidah: Department of Mathematics and Statistics, Faculty of Applied Sciences and Technology, Universiti Tun Hussein Onn Malaysia, 86400 Batu Pahat, Malaysia

New Mathematics and Natural Computation (NMNC), 2019, vol. 15, issue 02, 283-305

Abstract: The constructions of finite switchboard state automata are known to be an extension of finite automata in the view of commutative and switching state machines. This research incorporated an idea of a switchboard in the general fuzzy automata to introduce general fuzzy finite switchboard automata. The attained output reveals that a strongly connected general fuzzy finite switchboard automaton is equivalent to the retrievable general fuzzy automata. Further, the notion of the switchboard subsystem and strong switchboard subsystem of general fuzzy finite switchboard automata are examined. Finally, the concept of fuzzy topology on general fuzzy finite switchboard automata in terms of these characterisations is formulated.

Keywords: General fuzzy automata; switchboard; subsystems; homomorphism; topology (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1142/S1793005719500157

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