Alternative characterizations of \(\mathbf{FNCS}\)
type: Item
instance of: scholarly article
title: Alternative characterizations of \(\mathbf{FNCS}\)
zbMATH Open document ID: 0934.54007
DOI: 10.1016/S0165-0114(98)00313-3
author: Luoshan Xu
author: Robert Lowen
published in: Fuzzy Sets and Systems
publication date: 2000-04-10T00:00:00Z
review text: It is proved that the category of fuzzy neighbourhood convergence spaces is isomorphic to the category of fuzzifying pretopological spaces which are defined in the spirit of fuzzifying topological spaces. Characterizations of these spaces by convergence, closure operator and interior operator, etc. are obtained.
reviewed by: Dexue Zhang
Mathematics Subject Classification ID: 54A40
zbMATH DE Number: 1339601
zbMATH Keywords: fuzzy neighbourhood convergence spaces
zbMATH Keywords: fuzzifying pretopological spaces
MaRDI profile type: Publication
cites work: Q4693062
cites work: Fuzzy neighborhood convergence spaces
cites work: Q4040688
cites work: Characterization of convergence in fuzzy topological spaces
cites work: Q4010278
cites work: The categorical topology approach to fuzzy topology and fuzzy convergence
cites work: Convergence in fuzzy topological spaces
cites work: Fuzzy uniform spaces
cites work: Fuzzy neighborhood spaces
cites work: Completeness, compactness, and precompactness in fuzzy uniform spaces. II
cites work: On the Reflectiveness and Coreflectiveness of Subcategories of FTS
cites work: On the determination of fuzzy topological spaces and fuzzy neighbourhood spaces by their level-topologies
cites work: Reflectors and coreflectors in the category of fuzzy topological spaces
cites work: A new approach for fuzzy topology. I
cites work: Categories isomorphic to FNS
description: scientific article; zbMATH DE number 1339601