On Fuzzy Regular $\omega$-Languages

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.