Comparison of different notions of compactness in the fuzzy topological space

dc.contributor.advisor	Kotzé, Wesley
dc.contributor.author	Morapeli, E Z
dc.date.accessioned	2026-03-04T06:55:01Z
dc.date.issued	1989
dc.description.abstract	Various notions of compactness in a fuzzy topological space have been introduced by different authors. The aim of this thesis is to compare them. We find that in a Tâ‚‚ space (in the sense that no fuzzy net converges to two fuzzy points with different supports) all these notions are equivalent for the whole space. Furthermore, for N-compactness and f-compactness (being the only notions that are defined for an arbitrary fuzzy subset) we have equivalence under a stronger condition, namely, a Tâ‚‚ space in the sense that every prime prefilter has an adherence that is non-zero in at most one point
dc.description.degree	Master's thesis
dc.description.degree	MSc
dc.format.extent	114 pages
dc.format.mimetype	application/pdf
dc.identifier.other	http://hdl.handle.net/10962/d1001982
dc.identifier.uri	https://researchrepository.ru.ac.za/handle/123456789/4706
dc.language	English
dc.publisher	Rhodes University, Faculty of Science, Department of Mathematics
dc.rights	Morapeli, E Z
dc.subject	Fuzzy mathematics
dc.subject	Fuzzy topology
dc.title	Comparison of different notions of compactness in the fuzzy topological space
dc.type	Academic thesis

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