On state residuated lattices
From MaRDI portal
Publication:521705
DOI10.1007/S00500-015-1620-XzbMath1364.06003OpenAlexW1971217457MaRDI QIDQ521705
Yongwei Yang, Xiao Long Xin, Peng Fei He
Publication date: 11 April 2017
Published in: Soft Computing (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00500-015-1620-x
Logical aspects of lattices and related structures (03G10) Frames, locales (06D22) Complemented lattices, orthocomplemented lattices and posets (06C15) Structure theory of lattices (06B05) Ordered semigroups and monoids (06F05)
Related Items (18)
The prime state ideal theorem in state residuated lattices ⋮ Generalized state maps and states on pseudo equality algebras ⋮ The role of states in triangle algebras ⋮ Characterization of residuated lattices via multipliers ⋮ Unnamed Item ⋮ The lattices of 𝔏-fuzzy state filters in state residuated lattices ⋮ State maps on semihoops ⋮ STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ Generalized state operators on residuated lattices ⋮ States, state operators and quasi-pseudo-MV algebras ⋮ New types of generalized Bosbach states on non-commutative residuated lattices ⋮ EQ-algebras with internal states ⋮ 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 ⋮ On state ideals and state relative annihilators in De Morgan state residuated lattices ⋮ On residuated lattices with left and right internal state ⋮ State \(L\)-algebras and derivations of \(L\)-algebras ⋮ Simple, local and subdirectly irreducible state residuated lattices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Characterizations and new subclasses of \(\mathcal{I}\)-filters in residuated lattices
- States on finite linearly ordered IMTL-algebras
- State BL-algebras
- Bosbach states on fuzzy structures
- Every state on semisimple MV-algebra is integral
- States on \(R_{0}\) algebras
- MV-algebras with internal states and probabilistic fuzzy logics
- On filter theory of residuated lattices
- Mathematics behind fuzzy logic
- Metamathematics of fuzzy logic
- Erratum to: ``State operators on generalizations of fuzzy structures
- Averaging the truth-value in Łukasiewicz logic
- On the existence of states on MTL-algebras
- Boolean filters and positive implicative filters of residuated lattices
- States on semi-divisible residuated lattices
- Algebraic Analysis of Many Valued Logics
- Dense Elements and Classes of Residuated Lattices
- Continuous Lattices and Domains
- IMTL(MV)-filters and fuzzy IMTL(MV)-filters of residuated lattices
- States on pseudo MV-algebras
This page was built for publication: On state residuated lattices
