α-Stable necks of fuzzy automata
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DOI:
https://doi.org/10.26637/MJM0504/0013Abstract
In this paper we introduce α -stable necks, α -stable directable, α -stable trap-directable fuzzy automata. Further we show that α -stable necks of fuzzy automaton exists then it is α -stable subautomaton, α -stable kernel and discuss some of their properties. Finally we prove a fuzzy automaton is α -stable directable if and only if it is an extension of a α-stable strongly directable fuzzy automaton by a α-stable trap-directable fuzzy automaton.
Keywords:
α-stable necks, α-stable directable, α-stable trap-directableMathematics Subject Classification:
Mathematics- Pages: 694-697
- Date Published: 01-10-2017
- Vol. 5 No. 04 (2017): Malaya Journal of Matematik (MJM)
M. Bogdanovic, S. Bogdanovic, M. Ciric, and T. Petkovic, Necks of automata, Novi Sad J. Math. 34 (2) (2004), 5-15.
M. Bogdanovic, B. Imreh, M. Ciric, and T. Petkovic, Directable automata and their generalization (A survey), Novi Sad J. Math., 29 (2) (1999), 31-74.
S. Bogdanovic, M. Ciric, and T. Petkovic, Directable automata and transition semigroups, Acta Cybernetica(Szeged), 13 (1998), 385-403.
V. Karthikeyan, and M. Rajasekar, Necks of fuzzy automata, Proceedings of International Conference on Mathematical Modeling and Applied Soft Computing, Shanga Verlag, July 11-13, (2012), 15-20.
V. Karthikeyan, and M. Rajasekar, $gamma$-Synchronized fuzzy automata and their applications, Annals of Fuzzy Mathematics and Informatics, 10 (2) (2015), 331-342.
J. N. Mordeson, and D. S. Malik, Fuzzy automata and languages-theory and applications, Chapman & Hall CRC Press, (2002). DOI: https://doi.org/10.1201/9781420035643
W. G. Wee, On generalizations of adaptive algorithms and application of the fuzzy sets concepts to pattern classification Ph.D. Thesis, Purdue University, (1967).
L. A. Zadeh, Fuzzy sets, Information and Control, 8 (3) (1965), 338-353. DOI: https://doi.org/10.1016/S0019-9958(65)90241-X
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