Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices

DOI10.1016/J.FSS.2013.11.009zbMath1334.03066OpenAlexW2078252652MaRDI QIDQ279337

Zhen Ming Ma, Bao Qing Hu

Publication date: 28 April 2016

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

Full work available at URL: https://doi.org/10.1016/j.fss.2013.11.009

zbMATH Keywords

strong filternonclassical logicsresiduated lattice\(\mathcal{I}\)-filter\(n\)-contractive filterdivisible filter

Mathematics Subject Classification ID

Other algebras related to logic (03G25)

Related Items (15)

Several types of filters related to the Stonean axiom in residuated lattices ⋮ A new approach for classification of filters in residuated lattices ⋮ Unnamed Item ⋮ 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 ⋮ A note on some filters in residuated lattices ⋮ (∈ , ∈ ∨ q)-fuzzy t-filters on residuated lattices1 ⋮ The lattices of 𝔏-fuzzy state filters in state residuated lattices ⋮ On derivations and their fixed point sets in residuated lattices ⋮ Some classes of pseudo-residuated lattices ⋮ On state residuated lattices ⋮ Algebraic study to generalized Bosbach states on residuated lattices ⋮ Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices ⋮ Intuitionistic fuzzy filter theory on residuated lattices ⋮ On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices

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