Fuzzy properties in fuzzy convergence spaces
Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedne...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202007664 |
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| Summary: | Based on the concept of limit of prefilters and residual
implication, several notions in fuzzy topology are fuzzyfied in
the sense that, for each notion, the degree to which it is
fulfilled is considered. We establish therefore theories of
degrees of compactness and relative compactness, of closedness,
and of continuity. The resulting theory generalizes the
corresponding crisp theory in the realm of fuzzy convergence
spaces and fuzzy topology. |
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| ISSN: | 0161-1712 1687-0425 |