$\alpha$-Stable necks of fuzzy automata

N. Mohanarao 1 and V. Karthikeyan 2 *

doi:10.26637/MJM0504/0013

$\alpha$-Stable necks of fuzzy automata

Authors :

N. Mohanarao ¹ and V. Karthikeyan^{2 *}

Author Address :

¹ Department of Mathematics, Government College of Engineering, Bodinayakkanur, Tamilnadu, India.
² Department of Mathematics, Government College of Engineering, Dharmapuri,Tamilnadu, India.

Abstract :

In this paper we introduce $\alpha$-stable necks, $\alpha$-stable directable, $\alpha$-stable trap-directable fuzzy automata. Further we show that $\alpha$-stable necks of fuzzy automaton exists then it is $\alpha$-stable subautomaton, $\alpha$-stable kernel and discuss some of their properties. Finally we prove a fuzzy automaton is $\alpha$-stable directable if and only if it is an extension of a $\alpha$-stable strongly directable fuzzy automaton by a $\alpha$-stable trap-directable fuzzy automaton.

Keywords :

$\alpha$-stable necks, $\alpha$-stable directable, $\alpha$-stable trap-directable.

DOI :

10.26637/MJM0504/0013

Article Info :

Received : September 04, 2017; Accepted : December 05, 2017.