$m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces

In this paper, the concepts of $m^* r$-fuzzy $\tilde {g}$-open $F_{\sigma }$ sets and $m^*$-fuzzy basically disconnected spaces are introduced in the sense of Sostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for $m^*$-fuzzy basically disconnected spaces is discussed.