general complex fuzzy transformation semigroups in automata
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abstract
in this paper, we define the concepts of a complex fuzzy subset and a complex fuzzy finite state automaton. then we extend the notion of a complex fuzzy finite state automaton and introduce the notion of a general complex fuzzy automaton. after that we define the concept of a max- min general complex fuzzy automaton and construct some equivalence relations and some congruence relations in a max-min general complex fuzzy automaton and obtain different types of monoids in a max-min general complex fuzzy automaton and define a homomorphism between them. then we define the concepts of a general complex fuzzy transformation semi- group, a faithful general complex fuzzy transformation semigroup and a faithful general complex fuzzy transformation semigroup associated with a max-min general complex fuzzy automaton. then we derive relationships between a max-min general complex fuzzy automaton and a general complex fuzzy transformation semigroup.
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Journal title:
journal of advances in computer researchجلد ۷، شماره ۲، صفحات ۱۲۷-۱۳۷
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