Applications of a group in general fuzzy automata

نویسندگان
Horry, Mohammad ID 1

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

doi
10.22034/as.2017.1170
چکیده

 ‎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.‎ 

کلیدواژه‌ها
Fuzzy automata, group, normal subgroup, fuzzy subgroup, fuzzy normal subgroup