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

B. Amudhambigai, Mallasamudram Kuppusamy Uma, Elango Roja (2013)

Mathematica Bohemica

In this paper, the concepts of $m^{*} r$ -fuzzy $\tilde{g}$ -open $F_{σ}$ 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.