Almost compactness and near compactness in fuzzy topological spaces (Q1100756)
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scientific article; zbMATH DE number 4044702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost compactness and near compactness in fuzzy topological spaces |
scientific article; zbMATH DE number 4044702 |
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Almost compactness and near compactness in fuzzy topological spaces (English)
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1987
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The author discusses the concept of almost compactness in a fuzzy setting as introduced by Concilio and Gerla; Q characterization of almost compactness has been given in terms of fuzzy regular closed and fuzzy regular open sets. It has been shown that a fuzzy weakly continuous image of a compact space is almost compact and a fuzzy strongly continuous image of a fuzzy almost compact space is compact. Further, nearly compactness has been introduced in a fuzzy setting along with characterization. It has been shown that the almost continuous and almost open image of a nearly compact space is nearly compact.
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fuzzy almost compactness
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fuzzy near compactness
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fuzzy almost (weak, strong) continuity
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almost compactness
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