Applications of a group in general fuzzy automata

Document Type : Research Paper


Department of mathematics, Shahid Chamran university, Kerman, Iran.


 ‎Let $\tilde{F}=(Q,\S,\tilde{R},Z,\omega,\tilde{\delta},‎ F_1,F_2)$‎ ‎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.‎


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