Geodesic
$m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces
Mathematica Bohemica, Tome 138 (2013) no. 1, pp. 1-13

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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 Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for $m^*$-fuzzy basically disconnected spaces is discussed.
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 Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for $m^*$-fuzzy basically disconnected spaces is discussed.
DOI : 10.21136/MB.2013.143223
Classification : 03E72, 54A40
Keywords: $m^*r$-fuzzy $\tilde {g}$-open $F_{\sigma }$ set; $m^*$-fuzzy basically disconnected space; $m^*r$-fuzzy open function 
Amudhambigai, B.; Uma, M. K.; Roja, E. $m^*$-fuzzy basically disconnected spaces in smooth fuzzy topological spaces. Mathematica Bohemica, Tome 138 (2013) no. 1, pp. 1-13. doi: 10.21136/MB.2013.143223
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