Fuzzy extended filters on residuated lattices

DOI10.1007/s00500-017-2494-xzbMath1398.03216OpenAlexW2580691861MaRDI QIDQ1797832

Ninghua Gao, Xiang-Nan Zhou, Qing-Guo Li

Publication date: 22 October 2018

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00500-017-2494-x

zbMATH Keywords

residuated latticecomplete Heyting algebrafuzzy extended filtersfuzzy generated filtersfuzzy t-filters

Mathematics Subject Classification ID

Heyting algebras (lattice-theoretic aspects) (06D20) Other algebras related to logic (03G25) Lattice ideals, congruence relations (06B10)

Cites Work

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• Fuzzy \(t\)-filters and their properties
• Convex combinations of fuzzy logical operations
• Why are papers about filters on residuated structures (usually) trivial?
• Characterization of extended filters in residuated lattices
• Partial residuated structures and quantum structures
• An axiomatic approach of fuzzy rough sets based on residuated lattices
• On filter theory of residuated lattices
• Mathematics behind fuzzy logic
• A short note on \(t\)-filters, \(\mathcal{I}\)-filters and extended filters on residuated lattices
• Fuzzy implicative and Boolean ideals of \(MV\)-algebras
• Extended filters in bounded commutative \(Rl\)-monoids
• Fuzzy Boolean and positive implicative filters of BL-algebras
• Topological and lattice structures of \(\mathcal L\)-fuzzy rough sets determined by lower and upper sets
• Fuzzy filters of MTL-algebras
• Fuzzy filters of BL-algebras
• Lattices of (generalized) fuzzy filters in residuated lattices
• Transactions on Rough Sets II
• Fuzzy positive implicative and fuzzy associative filters of lattice implication algebras