On Fuzzy Regular \(\omega\)-Languages

R. Arulprakasam1, V. R. Dare1, S. Gnanasekaran1
1Department of Mathematics, SRM University, Kattankulathur-603 203, Tamilnadu, India.

Abstract

The concept of fuzzy local \(\omega\)-language and Büchi fuzzy local \(\omega\)-language are defined in \([1,2]\). In this paper, we define Landweber fuzzy local \(\omega\)-language and study their closure properties and also give an automata characterization for it. Finally, we conclude the hierarchy among the subclasses of fuzzy regular \(\omega\)-languages.

Keywords: Local automaton, Local w -Language, Fuzzy sets, Fuzzy automaton, Fuzzy regular w-Language.