Fuzzy filters and fuzzy prime filters of bounded \(R\ell \)-monoids and pseudo BL-algebras

DOI10.1016/j.ins.2008.05.005zbMath1156.06009DBLPjournals/isci/RachunekS08OpenAlexW2030480105WikidataQ59288495 ScholiaQ59288495MaRDI QIDQ942326

Jiří Rachůnek, Dana Šalounová

Publication date: 5 September 2008

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2008.05.005

zbMATH Keywords

fuzzy filterpseudo MV-algebrapseudo-algebrapseudo BL-algebrabounded \(Rl\)-monoidfuzzy prime filter

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered semigroups and monoids (06F05)

Related Items (8)

The radical of a perfect residuated structure ⋮ On fuzzy filters of pseudo BL-algebras ⋮ New types of fuzzy filters of BL-algebras ⋮ Some kinds of \((\overline{\in},\overline{\in}\vee\overline q)\)-fuzzy filters of \(BL\)-algebras ⋮ On the role of logical connectives for primality and functional completeness of algebras of logics ⋮ Filters of residuated lattices and triangle algebras ⋮ Fuzzy hyperrings (\(H_v\)-rings) based on fuzzy universal sets. ⋮ The pseudo-linear semantics of interval-valued fuzzy logics

Cites Work

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• Fuzzy implicative and Boolean ideals of \(MV\)-algebras
• BCI-implicative ideals of BCI-algebras
• Fuzzy prime ideals of pseudo-MV algebras
• Fuzzy implicative and Boolean filters of \(R_{0}\) algebras
• Probabilistic averaging in bounded \(R\ell\)-monoids
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• Ideals of noncommutative DRℓ-monoids
• A non-commutative generalization of MV-algebras
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