Author/Authors :
Horry, Mohammad Department of mathematics - Shahid Chamran university, Kerman, Iran
Abstract :
Let F~=(Q,§,R~,Z,ω,δ~,F1,F2) 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.
Keywords :
Fuzzy automata , group , normal subgroup , fuzzy subgroup , fuzzy normal subgroup
