Roja, E.; Uma, M. K.; Balasubramanian, G. Ordered \(L\)-fuzzy \(G_\delta\)-extremally disconnected spaces and Tietze extension theorem. (English) Zbl 1171.54306 Proyecciones 27, No. 3, 237-248 (2008). Summary: We introduce a new class of fuzzy topological spaces called ordered \(L\)-fuzzy \(G_\delta\)-extremally disconnected spaces. Besides giving several characterizations and some interesting properties of these spaces, we also establish a Tietze extension theorem. MSC: 54A40 Fuzzy topology 03E72 Theory of fuzzy sets, etc. Keywords:ordered \(L\)-fuzzy \(G_\delta\)-extremally disconnected space; increasing \(L\)-fuzzy \(G_\delta\)-continuous; lower (upper) fuzzy \(G_\delta\)-continuous; increasing (decreasing) \(L\)-fuzzy \(\sigma\)-closure; increasing (decreasing) \(L\)-fuzzy \(\sigma\)-interior PDFBibTeX XMLCite \textit{E. Roja} et al., Proyecciones 27, No. 3, 237--248 (2008; Zbl 1171.54306) Full Text: DOI