Amudhambigai, B.; Uma, M. K.; Roja, E. \(m^{*}\)-fuzzy basically disconnected spaces in smooth fuzzy topological spaces. (English) Zbl 1274.54021 Math. Bohem. 138, No. 1, 1-13 (2013). Summary: 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. The Tietze extension theorem for \(m^{*}\)-fuzzy basically disconnected spaces is discussed. MSC: 54A40 Fuzzy topology 03E72 Theory of fuzzy sets, etc. Keywords:\(m^{*}r\)-fuzzy \(\tilde {g}\)-open \(F_{\sigma }\) set; \(m^*\)-fuzzy basically disconnected space; \(m^{*}r\)-fuzzy open function × Cite Format Result Cite Review PDF Full Text: DOI Link