β-Weak necks of fuzzy automata

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DOI:

https://doi.org/10.26637/MJM0504/0015

Abstract

In this paper we introduce β -weak necks, β -weak directable, β -weak trap-directable fuzzy automata. We have shown that β -weak necks of fuzzy automaton exists then it is β -weak subautomaton and β -weak kernel. Consequently, we prove a fuzzy automaton is β -weak directable if and only if all pairs of states of D in S are β -weak mergeable and it is an extension of a β -weak strongly directable fuzzy automaton by a β -weak trap-directable fuzzy automaton.

Keywords:

β-Weak necks, β-Weak directable, β-Weak trap-directable fuzzy automaton

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: 701-704
  • Date Published: 01-10-2017
  • Vol. 5 No. 04 (2017): Malaya Journal of Matematik (MJM)

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Published

01-10-2017

How to Cite

N. Mohanarao, and V. Karthikeyan. “β-Weak Necks of Fuzzy Automata”. Malaya Journal of Matematik, vol. 5, no. 04, Oct. 2017, pp. 701-4, doi:10.26637/MJM0504/0015.

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

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Copyright (c) 2017 MJM

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