α-Stable local necks of fuzzy automata

Downloads

DOI:

https://doi.org/10.26637/MJM0504/0014

Abstract

In this paper we introduce α -stable local necks, α -stable monogenically directable, α -stable monogenically strongly directable, α -stable monogenically trap directable, α -stable uniformly monogenically directable, α -stable uniformly monogenically strongly directable, α -stable uniformly monogenically trap-directable fuzzy automata. We have shown that α -stable local necks of fuzzy automaton exists then it is α -stable subautomaton. Further we prove a some equivalent conditions on fuzzy automaton.

Keywords:

α -Stable local necks, α -Stable monogenically directable, α -Stable monogenically trap-directable,, α -Stable uniformly monogenically trap-directable

Mathematics Subject Classification:

Mathematics
  • N. Mohanarao Department of Mathematics, Government College of Engineering, Bodinayakkanur, Tamilnadu, India.
  • V. Karthikeyan Department of Mathematics, Government College of Engineering, Dharmapuri,Tamilnadu, India.
  • Pages: 698-700
  • 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, Local necks of fuzzy automata, Advances in Theoretical and Applied Mathematics, 7 (4) (2012), 393-402.

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

  • NA

Metrics

Metrics Loading ...

Published

01-10-2017

How to Cite

N. Mohanarao, and V. Karthikeyan. “α-Stable Local Necks of Fuzzy Automata”. Malaya Journal of Matematik, vol. 5, no. 04, Oct. 2017, pp. 698-00, doi:10.26637/MJM0504/0014.

Issue

Vol. 5 No. 04 (2017): Malaya Journal of Matematik (MJM)

Section

Articles

License

Copyright (c) 2017 MJM

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC