A short note on \(t\)-filters, \(\mathcal{I}\)-filters and extended filters on residuated lattices

DOI10.1016/J.FSS.2014.10.032zbMath1374.03077OpenAlexW2091221224MaRDI QIDQ1677648

Martin Víta

Publication date: 13 November 2017

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2014.10.032

zbMATH Keywords

residuated lattices\(t\)-filters\(\mathcal{I}\)-filtersextended filters

Mathematics Subject Classification ID

Other algebras related to logic (03G25)

Related Items (2)

On (para, quasi) topological MV-algebras ⋮ Fuzzy extended filters on residuated lattices

Cites Work

• Unnamed Item
• Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices
• Fuzzy \(t\)-filters and their properties
• Some types of filters in MTL-algebras
• Why are papers about filters on residuated structures (usually) trivial?
• Characterization of extended filters in residuated lattices
• On filter theory of residuated lattices
• Extended filters in bounded commutative \(Rl\)-monoids
• Filter theory of BL algebras
• Some types of filters in BL algebras
• n ‐fold filters in BL‐algebras

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