Residuated lattices and lattice effect algebras

DOI10.1016/j.fss.2006.12.014zbMath1122.81016OpenAlexW1968222062MaRDI QIDQ879018

Xiang-Nan Zhou, Wang, Guojun, Qing-Guo Li

Publication date: 4 May 2007

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

Full work available at URL: https://doi.org/10.1016/j.fss.2006.12.014

zbMATH Keywords

Riesz decomposition propertylattice effect algebrainvolutive residuated lattice

Mathematics Subject Classification ID

Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Ordered semigroups and monoids (06F05) Quantum logic (03G12)

Related Items (4)

Pseudo-BL algebras and pseudo-effect algebras ⋮ Partial residuated structures and quantum structures ⋮ Fuzzy implications in lattice effect algebras ⋮ Material implications in lattice effect algebras

Cites Work

• Effect algebras and unsharp quantum logics.
• Metamathematics of fuzzy logic
• Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
• Fuzzy logic algebras on residuated lattices
• Algebraic foundations of many-valued reasoning
• Integrated semantics and logic metric spaces
• Boolean algebras R-generated by MV-effect algebras
• D-lattices
• Loomis-Sikorski representation of monotone \(\sigma\)-complete effect algebras
• Non-commutative algebras and quantum structures
• BL-algebras and effect algebras
• Residuated Lattices
• Pseudoeffect algebras. I: Basic properties
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