Lowen-type Fuzzy Topology and Topology on an Invertible General Fuzzy Automaton

In this paper, an association is begun between (Lowen-type) fuzzy topology and topology on the one hand and invertible general fuzzy automaton on the other. For this purpose, we first define a Kuratowski fuzzy interior operator which induces a Lowen-type fuzzy topology on the set of states of an invertible general fuzzy automaton. Then we define the concept of successor with threshold c, and by using this notion, we give an equivalence relation on the set of states of an invertible general fuzzy automaton and construct a topology on the set of states of an invertible general fuzzy automaton.

کلیدواژه ها:

(General) Fuzzy automata ، Invertible general fuzzy automata ، Fuzzy subautomata ، Closure operator ، Topology