Commutative bounded integral residuated orthomodular lattices are Boolean algebras

DOI10.1007/S00500-010-0572-4zbMath1270.06004OpenAlexW2007744916MaRDI QIDQ432196

Josef Tkadlec, Esko Turunen

Publication date: 3 July 2012

Published in: Soft Computing (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10467/62408

zbMATH Keywords

Boolean algebraorthomodular latticemany-valued logicquantum logicresiduated lattice

Mathematics Subject Classification ID

Complemented lattices, orthocomplemented lattices and posets (06C15) Many-valued logic (03B50) Quantum logic (03G12) Structure theory of Boolean algebras (06E05)

Cites Work

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• Mathematics behind fuzzy logic
• Orthomodular structures as quantum logics. Transl. from the Slovak
• Metamathematics of fuzzy logic
• On the fundamentals of fuzzy set theory
• Abstract residuation over lattices

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