Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
THE STRUCTURE OF RESIDUATED LATTICES - MaRDI portal

THE STRUCTURE OF RESIDUATED LATTICES

From MaRDI portal
Publication:3043517

DOI10.1142/S0218196703001511zbMath1048.06010MaRDI QIDQ3043517

Kevin K. Blount, Constantine Tsinakis

Publication date: 6 August 2004

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)




Related Items

On the structure of fuzzy variable precision rough sets based on generalized residuted latticesRADICAL OF FILTERS IN RESIDUATED LATTICESImplicative and positive implicative filters of residuated lattices in multiset contextGENERALIZED RESIDUATED LATTICES BASED F-TRANSFORMDiagrams of Fuzzy OrderingsThe Failure of The Amalgamation Property for Semilinear Varieties of Residuated LatticesUnnamed ItemUnnamed ItemNew directions in LB-valued general fuzzy automata: A topological viewSemi-linear Varieties of Lattice-Ordered AlgebrasWeakening Relation Algebras and FL$$^2$$-algebrasProjectivity and unification in substructural logics of generalized rotationsVarieties of K-latticesUnitless Frobenius quantalesGluing residuated latticesStructural and universal completeness in algebra and logicA SUBSTRUCTURAL GENTZEN CALCULUS FOR ORTHOMODULAR QUANTUM LOGICDeciding Equations in the Time Warp AlgebraPerfect GMV-AlgebrasOn categorical equivalence of weak monadic residuated distributive lattices and weak monadic c-differential residuated distributive latticesOn the Relationship Between L-fuzzy Closure Spaces and L-fuzzy Rough SetsRecognizability in residuated latticesTime warps, from algebra to algorithmsUnnamed ItemUnnamed ItemUnnamed ItemOn a category of fuzzy automata with relationsINTUITIONISTIC FUZZY FILTERS OF RESIDUATED LATTICESSugihara algebras and Sugihara monoids: Multisorted dualitiesArchimedean Residuated LatticesThe lattices of 𝔏-fuzzy state filters in state residuated latticesRepresentable pseudo-BCK-algebras and integral residuated latticesTOPOLOGICAL SIMILARITY OF L-RELATIONSResiduated frames with applications to decidabilityModal operators on bounded commutative residuated ℓ-monoids\(\bigstar\)-autonomous lattices and fuzzy setsThe structure of idempotent residuated chainsCommutative idempotent residuated latticesLocal bounded commutative residuated ℓ-monoidsInterior and closure operators on bounded residuated lattice ordered monoidsA non commutative generalization of *-autonomous latticesThe Semantics of Fuzzy Logics: Two Approaches to Finite TomonoidsPerfect residuated lattice ordered monoidsEquivalence of consequence relations: an order-theoretic and categorical perspectiveBCC-algebras and residuated partially-ordered groupoidGlivenko theorems for substructural logics over FLTotally Ordered Monoids Based on Triangular NormsBanaschewski’s theorem for GMV-algebrasThe finite model property for semilinear substructural logicsNilpotency and the Hamiltonian property for cancellative residuated latticesGalois connection of stabilizers in residuated latticesTheorems of Alternatives for Substructural LogicsRegularity in residuated latticesCategories of Automata and Languages Based on a Complete Residuated LatticeA Residuated Lattice of L-Fuzzy Subalgebras of a Mono-Unary AlgebraOn Bijective Correspondence between Fuzzy Reflexive Approximation Spaces and Fuzzy Transformation SystemsFuzzy Regular Languages Based on Residuated LatticeSimple, local and subdirectly irreducible state residuated latticesMODEL COMPLETIONS FOR UNIVERSAL CLASSES OF ALGEBRAS: NECESSARY AND SUFFICIENT CONDITIONSObstinate, weak implicative and fantastic filters of non commutative residuated lattices\(n\)-fold Heyting, Boolean and pseudo-MV filters in residuated latticesA new approach for classification of filters in residuated latticesConstructing implications and coimplications on a complete latticeThe construction of left-continuous t-norms: a geometric approach in two dimensionsKites and residuated latticesProjectable \(\ell\)-groups and algebras of logic: categorical and algebraic connections.Integrally closed residuated latticesRepresentation theorems for some fuzzy logics based on residuated non-distributive latticesThe Archimedean property: new horizons and perspectivesFuzzy equivalence relations and their equivalence classesAssociativity, commutativity and symmetry in residuated structuresPrelinear algebras in relatively regular quasivarietiesRepresentable biresiduated latticesStudy residuated lattice via some elementsMatrix representations and interdependency on \(L\)-fuzzy covering-based approximation operatorsAlternative proof of standard completeness theorem for MTLThe radical of a perfect residuated structureTwist structures and Nelson conucleiExtended-order algebras and fuzzy implicatorsHulls of ordered algebras: projectability, strong projectability and lateral completenessTruth values on generalizations of some commutative fuzzy structuresPseudo equality algebrasA generalization of local fuzzy structuresCancellative residuated lattices arising on 2-generated submonoids of natural numbersGranular variable precision fuzzy rough sets with general fuzzy relationsStructure theorems for idempotent residuated latticesVariety generated by conical residuated lattice-ordered idempotent monoidsVarieties generated by unital abelian \(\ell\)-groupsOn normal-valued basic pseudo-hoopsSemisimplicity, EDPC and discriminator varieties of bounded weak-commutative residuated lattices with an S4-like modal operatorOn Birkhoff's common abstraction problemRelation algebras as expanded FL-algebrasSome types of filters in residuated latticesThe relationship between \(L\)-fuzzy rough set and \(L\)-topologyDiscrete dualities for \(n\)-potent MTL-algebras and 2-potent BL-algebrasThe approximation of left-continuous t-normsExtremal states on bounded residuated \(\ell\)-monoids with general comparabilityDensity revisitedState operators on generalizations of fuzzy structuresTense operators on non-commutative residuated latticesThe Conrad program: from \(l\)-groups to algebras of logic.Algebraization, parametrized local deduction theorem and interpolation for substructural logics over FLMinimal varieties of involutive residuated latticesCut elimination and strong separation for substructural logics: an algebraic approachLattice-theoretic properties of algebras of logicInvolutive residuated lattices based on modular and distributive lattices.The subvariety of commutative residuated lattices represented by twist-productsConstructive logic with strong negation is a substructural logic. IOn \(v\)-filters and normal \(v\)-filters of a residuated lattice with a weak \(vt\)-operatorFuzzy filters and fuzzy prime filters of bounded \(R\ell \)-monoids and pseudo BL-algebrasNormal residuated latticesMonadic bounded commutative residuated \(\ell\)-monoidsBoolean filters and positive implicative filters of residuated latticesSome properties of \( L\)-fuzzy approximation spaces based on bounded integral residuated latticesOn derivations and their fixed point sets in residuated latticesSemilinear substructural logics with the finite embeddability propertyReal coextensions as a tool for constructing triangular normsTopological structures of \(L\)-fuzzy rough sets and similarity sets of \(L\)-fuzzy relationsAmalgamation and interpolation in ordered algebras.Embedding theorems for classes of GBL-algebrasOn the structure of pseudo BL-algebras and pseudo hoops in quantum logicsStates on finite monoidal t-norm based algebrasDistributive laws in residuated binarsNuclei and conuclei on residuated latticesGeneralized MV-algebrasA short note on \(L\)-fuzzy approximation spaces and \(L\)-fuzzy pretopological spacesOn triangular norms and uninorms definable in Ł\(\Pi \frac{1}{2}\)Residuated lattices of size \(\leq 12\)\(\bigstar\)-autonomous latticesRepresentable good EQ-algebrasVarieties of BL-algebras. III: Splitting algebrasAlgebraic proof theory: hypersequents and hypercompletionsOn \((\odot, \operatorname{\&})\)-fuzzy rough sets based on residuated and co-residuated latticesGranular variable precision \(L\)-fuzzy rough sets based on residuated latticesNew results on single axioms for \(L\)-fuzzy rough approximation operatorsConical residuated lattice-ordered idempotent monoidsConstructive logic with strong negation is a substructural logic. IIResiduated structures and orthomodular latticesOn the coextension of cut-continuous pomonoidsCompatible operations on residuated latticesThe going-up and going-down theorems in residuated latticesOrdinal decompositions for preordered root systemsOrdered groups with a conucleusThe structure of generalized BI-algebras and weakening relation algebrasOn two new classes of stabilizers in residuated latticesA short note on divisible residuated semilatticesGeneral \(L\)-fuzzy aggregation functions based on complete residuated latticesTopological residuated latticesSplittings in subreducts of hoopsSplittings in GBL-algebras. I: The general caseSplittings in GBL-algebras. II: The representable caseOn residuated lattices with left and right internal stateA comparative study of variable precision fuzzy rough sets based on residuated latticesFilter theory of extended implicative groupoidsNotes on ``On \((O,G)\)-fuzzy rough sets based on overlap and grouping functions over complete latticesProjectivity in (bounded) commutative integral residuated latticesFrom interior algebras to unital \(\ell\)-groups: a unifying treatment of modal residuated latticesPoset products as relational modelsBounded commutative residuated \(\ell\)-monoids with general comparability and states



Cites Work