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α-Stable necks of fuzzy automata
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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.
Title: α-Stable necks of fuzzy automata
Description:
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.
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