Some types of filters in MTL-algebras

DOI10.1016/J.FSS.2011.09.001zbMath1250.06017OpenAlexW2076771301MaRDI QIDQ427919

Rajab Ali Borzooei, S. Khosravi Shoar, Reza Ameri

Publication date: 18 June 2012

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

Full work available at URL: https://doi.org/10.1016/j.fss.2011.09.001

zbMATH Keywords

strong filterBL-algebrafantastic filterpositive implicative filterMTL-algebraEIMTL-filterIMTL-filter

Mathematics Subject Classification ID

BCK-algebras, BCI-algebras (06F35) Other algebras related to logic (03G25)

Related Items (24)

Several types of filters related to the Stonean axiom in residuated lattices ⋮ A new approach for classification of filters in residuated lattices ⋮ Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices ⋮ Fuzzy \(t\)-filters and their properties ⋮ A note on some types of filters in MTL-algebras ⋮ Characterizations of \(N(2,2, 0)\) algebras ⋮ PC-lattices: A Class of Bounded BCK-algebras ⋮ On (para, quasi) topological MV-algebras ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ A short note on \(t\)-filters, \(\mathcal{I}\)-filters and extended filters on residuated lattices ⋮ On fuzzy congruence relation in residuated lattices ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Prime fuzzy (implicative) MP-filters of R0-algebras ⋮ A note on some filters in residuated lattices ⋮ \(n\)-fold filters of MTL-algebras ⋮ Stabilizers in EQ-algebras ⋮ Why are papers about filters on residuated structures (usually) trivial? ⋮ Very true operators on MTL-algebras ⋮ Quotient structures in lattice effect algebras ⋮ Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices ⋮ Intuitionistic fuzzy filter theory on residuated lattices ⋮ Some types of generalized fuzzy \(n\)-fold filters in residuated lattices ⋮ Radicals in MTL-algebras

Cites Work

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• Metamathematics of fuzzy logic
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Semi-divisible t-norms on discrete scales
• States on semi-divisible residuated lattices
• Filter theory of BL algebras
• Some types of filters in BL algebras
• Dense Elements and Classes of Residuated Lattices
• Glivenko like theorems in natural expansions of BCK-logic
• Some Properties of Residuated Lattices
• Boolean deductive systems of BL-algebras

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