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Fuzzy-topological automata. (English) Zbl 0583.68029

Topological automata are generalized to the case that the underlying topological spaces are fuzzy topological spaces. In a natural way this gives a category of fuzzy topological automata with the category of topological automata as a full subcategory. Furthermore, it is shown that each fuzzy topological automaton can be seen as a fuzzy topological Mealy-automaton and can be connected with an equivalent fuzzy topological Moore-automaton.
Reviewer: S. Latow

MSC:

68Q45 Formal languages and automata
54A40 Fuzzy topology
18B20 Categories of machines, automata

Keywords:

fuzzy automata
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References:

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