On WLI-ideal space and the properties of WLI-ideals in lattice implication algebra (LIA)

DOI10.1007/s12190-008-0195-4zbMath1182.03108OpenAlexW2115717595MaRDI QIDQ1034954

Jiajun Lai, Yang Xu

Publication date: 9 November 2009

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-008-0195-4

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Logical aspects of lattices and related structures (03G10)

Related Items

Linguistic truth-valued lattice-valued propositional logic system \(\ell P(X)\) based on linguistic truth-valued lattice implication algebra

Cites Work

• First-order fuzzy logic
• Lattice-valued logic. An alternative approach to treat fuzziness and incomparability
• \(ILI\)-ideals and prime \(LI\)-ideals in lattice implication algebras.
• \(L\)-valued propositional logic \(L_{\text{vpl}}\)
• The logic of inexact concepts
• Fuzzy reasoning based on the extension principle
• On Fuzzy Logic I Many‐valued rules of inference
• On Fuzzy Logic II. Enriched residuated lattices and semantics of propositional calculi
• On Fuzzy Logic III. Semantical completeness of some many‐valued propositional calculi
• Fuzzy sets
• \(\alpha\)-resolution principle based on first-order lattice-valued logic \(\text{LF}(X)\)
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