FUZZY AUTOMATA I^*-FIRST CATEGORY SUBSYSTEMS

FUZZY AUTOMATA I^*-FIRST CATEGORY SUBSYSTEMS

V. Madhuri, M. Rowthri, J. Mahalakshmi

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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.

Keywords

Fuzzy automata G F∗-subsystem, NF∗-dense subsystem, ς-Baire space, F∗- residual subsystem.