Semi-Hausdorff fuzzy filters
type: Item
instance of: scholarly article
title: Semi-Hausdorff fuzzy filters
zbMATH Open document ID: 1151.54009
DOI: 10.1155/2007/92423
author: V. Lakshmana Gomathi Nayagam
author: Geetha Sivaraman
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-06-03T00:00:00Z
full work available at URL: https://eudml.org/doc/54815
review text: 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.
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 5282551
MaRDI profile type: Publication
OpenAlex ID: W1979338515
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description: scientific article; zbMATH DE number 5282551