State operators on generalizations of fuzzy structures

DOI10.1016/j.fss.2011.05.023zbMath1266.03071OpenAlexW2003822008WikidataQ59288462 ScholiaQ59288462MaRDI QIDQ427916

Jiří Rachůnek, Dana Šalounová, Anatolij Dvurečenskij

Publication date: 18 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2011.05.023

zbMATH Keywords

subdirectly irreducible algebrasstate operatorresiduated latticestate-morphism operatoralgebras of fuzzy logicsgenerators of varieties

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35) Ordered semigroups and monoids (06F05)

Related Items (24)

The prime state ideal theorem in state residuated lattices ⋮ Generalized Bosbach states. I ⋮ Characterization of monadic BL-algebras by state operators ⋮ The role of states in triangle algebras ⋮ Unnamed Item ⋮ 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 ⋮ States and internal states on semihoops ⋮ SOME CLASSES OF STATE IDEALS IN STATE MV -ALGEBRAS ⋮ Unnamed Item ⋮ State hoops ⋮ 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 ⋮ State filters on fuzzy structures with internal states ⋮ Commutative deductive systems of pseudo-BCK-algebras ⋮ Involutive filters of pseudo-hoops ⋮ 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 ⋮ State BCK-algebras and state-morphism BCK-algebras.

Uses Software

• Pseudo Hoops

Cites Work

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