Some classes of pseudo-BL algebras

DOI10.1017/S144678870000851XzbMath1016.03069MaRDI QIDQ3148262

Laurenţiu Leuştean, George Georgescu

Publication date: 30 September 2002

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

continuous t-normspseudo-BL-algebrasHájek's basic logic

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Other algebras related to logic (03G25) MV-algebras (06D35)

Related Items (30)

Obstinate, weak implicative and fantastic filters of non commutative residuated lattices ⋮ Pseudo-BL algebras and pseudo-effect algebras ⋮ Generalized Bosbach states. I ⋮ Generalized co-annihilator of BL-algebras ⋮ Classes of pseudo BL-algebras with right Boolean lifting property ⋮ On pseudo-\(e\)BE-algebras ⋮ The radical of a perfect residuated structure ⋮ On pseudo-BL algebras and BCC-algebras ⋮ A generalization of local fuzzy structures ⋮ Relative negations in non-commutative fuzzy structures ⋮ Categorical approaches to non-commutative fuzzy logic ⋮ On fuzzy filters of pseudo BL-algebras ⋮ New types of fuzzy filters of BL-algebras ⋮ States on finite linearly ordered IMTL-algebras ⋮ State operators on generalizations of fuzzy structures ⋮ States on \(R_{0}\) algebras ⋮ On \(v\)-filters and normal \(v\)-filters of a residuated lattice with a weak \(vt\)-operator ⋮ Boolean filters and positive implicative filters of residuated lattices ⋮ Unnamed Item ⋮ Some classes of pseudo-residuated lattices ⋮ Local pseudo-BCK algebras with pseudo-product ⋮ States on finite monoidal t-norm based algebras ⋮ Some kinds of \((\overline{\in},\overline{\in}\vee\overline q)\)-fuzzy filters of \(BL\)-algebras ⋮ Interval valued \((\in,\in\!\vee\,q)\)-fuzzy filters of pseudo BL-algebras ⋮ Perfect residuated lattice ordered monoids ⋮ Filters and ideals in the generalization of pseudo-BL algebras ⋮ Folding theory applied to residuated lattices ⋮ Fuzzy filters of BL-algebras ⋮ BL-algebra of fractions and maximal BL-algebra of quotients ⋮ Some new axiomatic extensions of residuated logics

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Mathematics behind fuzzy logic
• Metamathematics of fuzzy logic
• Local MV-algebras
• Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups
• Boolean deductive systems of BL-algebras
• Pseudo-t-norms and pseudo-BL algebras
• Local pseudo MV-algebras

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