Applications of a group in general fuzzy automata. (English) Zbl 1463.68034
Summary: Let \(\tilde{F}=(Q,\Sigma,\tilde{R}, Z,\omega,\tilde{\delta}, F_1, F_2)\) be a general fuzzy automaton and the set of its states be a group. The aim of this paper is the study of applications of a group in a general fuzzy automaton. For this purpose, we define the concepts of fuzzy normal kernel of a general fuzzy automaton, fuzzy kernel of a general fuzzy automaton, adjustable, multiplicative. Then we obtain the relationships between them.
MSC:
| 68Q45 | Formal languages and automata |
| 20N25 | Fuzzy groups |
| 68Q70 | Algebraic theory of languages and automata |
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