Ultra LI-ideals in lattice implication algebras and MTL-algebras

DOI10.1007/s10587-007-0100-6zbMath1174.03349arXiv0710.3887OpenAlexW2116397411MaRDI QIDQ3617973

Keyun Qin, Wiesław A. Dudek, Xiao Hong Zhang

Publication date: 31 March 2009

Published in: Czechoslovak Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0710.3887

zbMATH Keywords

MTL-algebraILI-ideal

Mathematics Subject Classification ID

Logical aspects of lattices and related structures (03G10) Lattice ideals, congruence relations (06B10) Uniform structures and generalizations (54E15)

Related Items (5)

New types of fuzzy filters of BL-algebras ⋮ Some kinds of falling fuzzy filters of lattice implication algebras ⋮ Some kinds of \((\overline{\in},\overline{\in}\vee\overline q)\)-fuzzy filters of \(BL\)-algebras ⋮ Soft \(BL\)-algebras based on fuzzy sets ⋮ Interval valued \((\in,\in\!\vee\,q)\)-fuzzy filters of pseudo BL-algebras

Cites Work

• Metamathematics of fuzzy logic
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Lattice-valued logic. An alternative approach to treat fuzziness and incomparability
• \(ILI\)-ideals and prime \(LI\)-ideals in lattice implication algebras.
• A proof of standard completeness for Esteva and Godo's logic MTL
• On ideals and congruences in bcc-algebras
• Ultra LI-ideals in lattice implication algebras
• Some Properties of Residuated Lattices
• On Some Varieties of MTL-algebras
• Boolean deductive systems of BL-algebras
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