Semi-Hausdorff fuzzy filters
Summary: The notion of fuzzy filters was studied by \textit{M. A. De Prada Vicente} and \textit{M. Saralegui Aranguren} [J. Math. Anal. Appl. 129, 560--568 (1988; Zbl 0647.54004)], \textit{R. Lowen} [General Topology Appl. 10, 147--160 (1979; Zbl 0409.54008)] and \textit{P. V. Ramakrishnan} and \textit{V. Lakshmana Gomathi Nayagam} [J. Fuzzy Math. 10, No. 3, 615--625 (2002; Zbl 1016.54007)]. The notion of fuzzy compactness was introduced and studied in the last paper quoted. In this paper, an equivalent condition of fuzzy compactness is studied and a new notion of semi-Hausdorffness on fuzzy filters, which cannot be defined in crisp theory of filters, is introduced and studied.
scientific article; zbMATH DE number 5282551