\(n\)-fold filters of MTL-algebras

DOI10.1007/S13370-013-0184-0zbMath1310.03054OpenAlexW1981704531MaRDI QIDQ485479

Hadi Farahani, Omid Zahiri

Publication date: 9 January 2015

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-013-0184-0

zbMATH Keywords

MTL-algebra\(n\)-fold (positive) implicative\(n\)-fold EIMTL filter\(n\)-fold IMTL-filter

Mathematics Subject Classification ID

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

Related Items (8)

\(n\)-fold Heyting, Boolean and pseudo-MV filters in residuated lattices ⋮ A new approach for classification of filters in residuated lattices ⋮ Unnamed Item ⋮ Nodal filters in Residuated Lattices ⋮ Intuitionistic fuzzy filter theory on residuated lattices ⋮ Some types of generalized fuzzy \(n\)-fold filters in residuated lattices ⋮ Folding theory applied to residuated lattices ⋮ n-Fold Boolean, Implicative and Integral Ideals on Bounded Commutative Residuated Lattices

Cites Work

• Unnamed Item
• Some types of filters in MTL-algebras
• Mathematics behind fuzzy logic
• Metamathematics of fuzzy logic
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Compact representations of BL-algebras
• A proof of standard completeness for Esteva and Godo's logic MTL
• On the standard and rational completeness of some axiomatic extensions of the monoidal t-norm logic
• Some Properties of Residuated Lattices
• n ‐fold filters in BL‐algebras
• Boolean deductive systems of BL-algebras

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