Fuzzy implications in lattice effect algebras

DOI10.1016/j.fss.2020.04.021zbMath1464.03098OpenAlexW3023069276MaRDI QIDQ2035406

Wei Ji

Publication date: 24 June 2021

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

Full work available at URL: https://doi.org/10.1016/j.fss.2020.04.021

zbMATH Keywords

torsion elementfuzzy implicationlattice effect algebraSasaki arrowDishkant arrow

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Complemented lattices, orthocomplemented lattices and posets (06C15) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) MV-algebras (06D35) Quantum logic (03G12)

Related Items (2)

Interval convexity of scale effect algebras ⋮ \(n\)-dimensional observables on \(k\)-perfect MV-algebras and \(k\)-perfect effect algebras. I: Characteristic points

Cites Work

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• Torsion elements in effect algebras
• Effect algebras and unsharp quantum logics.
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• Material implications in lattice effect algebras
• Residuated lattices and lattice effect algebras
• On dependencies and independencies of fuzzy implication axioms
• Effect algebras with the maximality property
• Material implications in orthomodular (and Boolean) lattices
• An axiom system for orthomodular quantum logic
• Automorphisms, negations and implication operators
• Residual implications revisited. Notes on the Smets-Magrez theorem.
• Logical connectives on lattice effect algebras
• Lattice-ordered effect algebras and L-algebras
• (S,N)-Implications on Bounded Lattices

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