Fuzzy filter spectrum of a BCK algebra (Q623708)
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scientific article; zbMATH DE number 5847829
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy filter spectrum of a BCK algebra |
scientific article; zbMATH DE number 5847829 |
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Fuzzy filter spectrum of a BCK algebra (English)
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8 February 2011
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Summary: The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced. We discuss the relation between fuzzy s-prime filters and fuzzy prime filters. By using the fuzzy s-prime filters of a bounded commutative BCK-algebra \(X\), we establish a fuzzy topological structure on \(X\). We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space. Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space.
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