Fuzzy \(n\)-fold integral filters in BL-algebras (Q5891386)
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scientific article; zbMATH DE number 6248676
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fuzzy \(n\)-fold integral filters in BL-algebras |
scientific article; zbMATH DE number 6248676 |
Statements
21 January 2014
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BL-algebra
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fuzzy \(n\)-fold obstinate filter
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fuzzy \(n\)-fold obstinate BL-algebra
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\(n\)-fold integral BL-algebra
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0.9565589
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0.94945097
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0.9489508
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0.93635225
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0.9341425
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0.93308085
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0.9310165
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Fuzzy \(n\)-fold integral filters in BL-algebras (English)
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The authors introduce the notion of fuzzy \(n\)-fold integral filters in BL-algebras, investigate their properties and give a characterization of these filters. They prove that a BL-algebra \(L\) is an \(n\)-fold integral BL-algebra if and only if any fuzzy filter of \(L\) is a fuzzy \(n\)-fold integral filter. Another result consists of proving that the homomorphic image and preimage of fuzzy \(n\)-fold integral filters are also fuzzy \(n\)-fold integral filters.
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