General Complex Fuzzy Transformation Semigroups in Automata

Journal of Advances in Computer Research

شناسنامه علمی شماره، دوره 7، شماره 2 - شماره پیاپی 24، مرداد 2016، صفحه 127-137   

نویسنده

Mohammad Horry^*

Shahid Chamran University of Kerman, Kerman, Iran

چکیده

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.

کلیدواژه‌ها

Fuzzy Automata؛ Semigroup؛ Equivalence relation؛ Congruence Relation