States on \(R_{0}\) algebras

DOI10.1007/s00500-008-0276-1zbMath1145.06005OpenAlexW2088929107MaRDI QIDQ937268

Lianzhen Liu, Xiangyang Zhang

Publication date: 20 August 2008

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

Full work available at URL: https://doi.org/10.1007/s00500-008-0276-1

zbMATH Keywords

stateMV-algebra

Mathematics Subject Classification ID

MV-algebras (06D35)

Related Items (18)

Generalized state maps and states on pseudo equality algebras ⋮ State theory on bounded hyper EQ-algebras ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ States on finite linearly ordered IMTL-algebras ⋮ States and internal states on semihoops ⋮ SOME CLASSES OF STATE IDEALS IN STATE MV -ALGEBRAS ⋮ The lattices of 𝔏-fuzzy state filters in state residuated lattices ⋮ State maps on semihoops ⋮ On state residuated lattices ⋮ Algebraic study to generalized Bosbach states on residuated lattices ⋮ New types of generalized Bosbach states on non-commutative residuated lattices ⋮ States on finite monoidal t-norm based algebras ⋮ Hybrid generalized Bosbach and Rie c̆ an states on non-commutative residuated lattices ⋮ On the relationships between hybrid generalized Bosbach states and \(L\)-filters in non-commutative residuated lattices ⋮ The existence of states based on Glivenko semihoops ⋮ State \(L\)-algebras and derivations of \(L\)-algebras ⋮ Hierarchical structure and applications of fuzzy logical systems ⋮ States on hyper MV-algebras

Cites Work

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• Probabilistic averaging in bounded commutative residuated \(\ell\)-monoids
• Dually residuated lattice ordered semigroups
• Some classes of pseudo-BL algebras
• Algebraic Analysis of Many Valued Logics
• R 0-algebras and weak dually residuated lattice ordered semigroups
• A non-commutative generalization of MV-algebras
• States on pseudo MV-algebras

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