Sequential convergence in fuzzy neighborhood spaces

We introduce the notions of sequential convergence and the first axiom of countability in fuzzy neighborhood spaces. We show that these notions fulfil good extension criterion attributed to Lowen. Convergent sequences and Cauchy sequences are studied in the light of fuzzy (probabilistic) pseudometri...

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Veröffentlicht in:	Fuzzy sets and systems 1992-02, Vol.46 (1), p.115-120
Hauptverfasser:	Khan, A.F.M.Khodadad, Ahsanullah, T.M.G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Cauchy sequence complete space Computer Science Computer Science, Theory & Methods Exact sciences and technology fuzzy (probabilistic) pseudometric space Fuzzy neighborhood space General topology Mathematics Mathematics, Applied N1°-countable space NT 2-space Physical Sciences Science & Technology Sciences and techniques of general use Statistics & Probability Technology Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds α-convergence α-level space
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Beschreibung
Zusammenfassung:	We introduce the notions of sequential convergence and the first axiom of countability in fuzzy neighborhood spaces. We show that these notions fulfil good extension criterion attributed to Lowen. Convergent sequences and Cauchy sequences are studied in the light of fuzzy (probabilistic) pseudometric space;.
ISSN:	0165-0114 1872-6801
DOI:	10.1016/0165-0114(92)90272-6