State operators on GMV algebras

DOI10.1007/s00500-010-0568-0zbMath1260.06014DBLPjournals/soco/RachunekS11aOpenAlexW2077902054WikidataQ59288478 ScholiaQ59288478MaRDI QIDQ422429

Jiří Rachůnek, Dana Šalounová

Publication date: 16 May 2012

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

Full work available at URL: https://doi.org/10.1007/s00500-010-0568-0

zbMATH Keywords

MV-algebrastate-morphismGMV-algebrastate GMV-algebrastate-morphism GMV-algebra

Mathematics Subject Classification ID

MV-algebras (06D35)

Related Items (18)

On pseudo BL-algebras with internal state ⋮ Internal states on equality algebras ⋮ Minimal prime state filters and state radicals on state pseudo BL-algebras ⋮ Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ Generalized Bosbach and Riečan states based on relative negations in residuated lattices ⋮ State operators on generalizations of fuzzy structures ⋮ SOME CLASSES OF STATE IDEALS IN STATE MV -ALGEBRAS ⋮ State hoops ⋮ Generalized state operators on residuated lattices ⋮ Algebraic study to generalized Bosbach states on residuated lattices ⋮ States, state operators and quasi-pseudo-MV algebras ⋮ New types of generalized Bosbach states on non-commutative residuated lattices ⋮ Bounded pseudo-hoops with internal states ⋮ State filters on fuzzy structures with internal states ⋮ Commutative deductive systems of pseudo-BCK-algebras ⋮ Involutive filters of pseudo-hoops ⋮ 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

Cites Work

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• Non-commutative Łukasiewicz propositional logic
• MV-algebras with internal states and probabilistic fuzzy logics
• State-morphism MV-algebras
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• MV-algebras with operators (the commutative and the non-commutative case).
• Prime spectra of non-commutative generalizations of MV-algebras.
• Averaging the truth-value in Łukasiewicz logic
• Algebraic Analysis of Many Valued Logics
• A non-commutative generalization of MV-algebras
• Pseudo MV-algebras are intervals in ℓ-groups
• States on pseudo MV-algebras

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