Fuzzy $\alpha\textmd{-}\psi^{*}$-operator in  fuzzy automata orbit structure spaces

M. Rowthri 1 * and B. Amudhambigai 2

doi:10.26637/MJM0803/0086

**Fuzzy $\alpha\textmd{-}\psi^{*}$-operator in fuzzy automata orbit structure spaces**

Authors :

M. Rowthri ^{1 *} and B. Amudhambigai ²

Author Address :

^1,2 Department of Mathematics, Sri Sarada College for Women, Salem-636016, Tamil Nadu, India.

*Corresponding author.

Abstract :

In this paper, the notion of fuzzy automata orbit structure spaces is introduced and the concepts of fuzzy automata orbit-$\alpha\textmd{-}\psi^{*}$-open subsystems and fuzzy automata orbit-$\alpha\textmd{-}\psi^{*}$-closed subsystems are studied with suitable examples. Also, the notions of fuzzy\; automata \;orbit-$\alpha\textmd{-}\psi^{*}$-co\textmd{-}kernel subsystems, fuzzy\; automata\; orbit-$\alpha\textmd{-}\psi^{*}$-kernel \;subsystems, fuzzy automata orbit-$\alpha\textmd{-}\psi^{*}$-meager$^{\ast}$ subsystems and fuzzy automata orbit -$\alpha\textmd{-}\psi^{*}$-comeager$^{\ast}$ subsystems are introduced and some of their properties are studied.

Keywords :

Fuzzy \;automata\; orbit \;structure spaces, $FA\mathcal{O}_{\phi}$-$\alpha\textmd{-}\psi^{*}$-open subsystems, $FA\mathcal{O}_{\phi}$-$\alpha\textmd{-}\psi^{*}$-closed

DOI :

10.26637/MJM0803/0086

Article Info :

Received : April 12, 2020; Accepted : August 14, 2020.