Fuzzy closure spaces. (English) Zbl 0573.54005
The authors study a fuzzy analogue of the closure spaces introduced by E. Čech [Topological spaces (1966); pp. 237-241]. Here a closure operator need not be idempotent. The authors note the relation between fuzzy closure spaces and fuzzy topologies, construct closures for products and disjoint unions, and introduce weak versions of continuity and compactness. They also reveal some relationships between these closures and fuzzy Čech proximities.
Reviewer: A.J.Klein
MSC:
| 54A40 | Fuzzy topology |
| 54A05 | Topological spaces and generalizations (closure spaces, etc.) |
| 54E05 | Proximity structures and generalizations |
Keywords:
fuzzy closure spaces; fuzzy topologies; products; disjoint unions; continuity; compactness; fuzzy Čech proximitiesReferences:
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