Fuzzy automata F*-first category subsystems

Abstract

In this paper, the ideas of fuzzy automata normed linear F*-structure spaces and fuzzy automata F*-first category spaces are presented and reasonable examples are given. Additionally a few significant properties related with fuzzy automata ς-Baire spaces are stated. It is shown that fuzzy automata F*-first category space is certainly not a fuzzy automata ς-Baire space. Further in fuzzy automata ς-Baire space, there is no fuzzy automata F*-first category subsystem. At last, as an application of fuzzy automata normed linear F*-structure spaces in fuzzy Ti (i = 0, 1) spaces are identified.