Zero dimensional and strongly zero dimensional fuzzy topological spaces

Concepts of zero dimensionality, strong zero dimensionality and total disconnectedness are extended to fuzzy topological spaces. Their basic properties and interrelationships among them are studied. A sum theorem for strongly zero dimensional fuzzy topological spaces is also obtained.

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Bibliographic Details
Published in:Fuzzy sets and systems 1994-01, Vol.61 (2), p.231-237
Main Authors: Ajmal, Naseem, Kohli, J.K.
Format: Article
Language:English
Subjects:
(strong) c-zero dimensionality
c-connectedness
Exact sciences and technology
fuzzy point
fuzzy subspace
General topology
Mathematics
overlapping fuzzy sets
pure fuzzy set
Sciences and techniques of general use
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Description
Summary:Concepts of zero dimensionality, strong zero dimensionality and total disconnectedness are extended to fuzzy topological spaces. Their basic properties and interrelationships among them are studied. A sum theorem for strongly zero dimensional fuzzy topological spaces is also obtained.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(94)90238-0