Algebraic study to generalized Bosbach states on residuated lattices
From MaRDI portal
Publication:521709
DOI10.1007/s00500-015-1671-zzbMath1382.03086OpenAlexW2034040109MaRDI QIDQ521709
Publication date: 12 April 2017
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-015-1671-z
Related Items (5)
Relationships between generalized Bosbach states and \(L\)-filters on residuated lattices ⋮ STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ New types of generalized Bosbach states on non-commutative residuated lattices ⋮ 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Effect algebras with state operator
- Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices
- Generalized Bosbach states. II
- Generalized Bosbach and Riečan states on nucleus-based-Glivenko residuated lattices
- State operators on GMV algebras
- Generalized Bosbach and Riečan states based on relative negations in residuated lattices
- States on commutative basic algebras
- States on quantum structures versus integrals
- State BL-algebras
- States on finite monoidal t-norm based algebras
- Bosbach states on fuzzy structures
- Bounded commutative residuated \(\ell\)-monoids with general comparability and states
- States on semi-divisible generalized residuated lattices reduce to states on MV-algebras
- Every state on semisimple MV-algebra is integral
- Every linear pseudo BL-algebra admits a state
- States on \(R_{0}\) algebras
- MV-algebras with internal states and probabilistic fuzzy logics
- States on Hilbert algebras
- On varieties of MV-algebras with internal states
- State-morphism MV-algebras
- Metamathematics of fuzzy logic
- Monoidal t-norm based logic: Towards a logic for left-continuous t-norms
- Erratum to: ``State operators on generalizations of fuzzy structures
- Algebraic foundations of many-valued reasoning
- Averaging the truth-value in Łukasiewicz logic
- State BCK-algebras and state-morphism BCK-algebras.
- Generalized Bosbach states. I
- State-morphism algebras -- general approach.
- States on semi-divisible residuated lattices
- Representation and extension of states on MV-algebras
- Probabilistic averaging in bounded \(R\ell\)-monoids
- Cancellative residuated lattices
- Non-commutative Multiple-Valued Logic Algebras
- Two types of MTL-L-filters in residuated lattices
- Fuzzy equational logic
- States on pseudo MV-algebras
This page was built for publication: Algebraic study to generalized Bosbach states on residuated lattices