scientific article

From MaRDI portal
Publication:2702343

zbMath0977.54006MaRDI QIDQ2702343

Alexander P. Šostak, Ulrich Höhle

Publication date: 28 June 2001


Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.



Related Items (only showing first 100 items - show all)

The generalized associative law in vague groups and its applications. I.The saturated prefilter monadEnriched categories and many-valued preorders: categorical, semantical, and topological perspectivesFundamental duality of abstract categories and its applicationsLattice-valued bornological systemsLattice-valued preordered sets as lattice-valued topological systemsThe category of stratified \(L\)-filter spacesDegrees of compactness in \((L, M)\)-fuzzy convergence spaces and its applicationsLattice-valued preuniform convergence spacesCategory theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundationsCategory theoretic aspects of chain-valued frames. II: Applications to lattice-valued topologySome separation axioms in \(I\)-fuzzy topological spacesGlobal \(L\)-neighborhood groupsFilters in fuzzy class theoryUniform-type structures on lattice-valued spaces and framesLattice-valued convergence spaces and regularityOn many-valued stratified \(L\)-fuzzy convergence spacesLattice-valued convergence: Diagonal axiomsOn the category of fixed basis frame valued topological groupsSobriety and spatiality in varieties of algebrasA note on specialization \(L\)-preorder of \(L\)-topological spaces, \(L\)-fuzzifying topological spaces, and \(L\)-fuzzy topological spacesSimilarity-based fuzzy limitsA new approach to fuzzy metric spaces and their similarity-based constructionOn convergence in \(L\)-valued fuzzy topological spacesFuzzy preorder and fuzzy topologyImages and preimages of \(L\)-filterbasesExtension of Shi's quasi-uniformities in a Kubiak-Šostak senseOn initial and final fuzzy uniform structures. IILinear operators in fuzzifying topological linear spacesLattice-valued spaces: fuzzy convergenceLattice-valued continuous convergence is induced by a lattice-valued uniform convergence structureCategories isomorphic to (\(L,M\))-DFTOPTopological representation and quantic separation axioms of semi-quantalesOn semi separation axioms in \(L\)-fuzzifying bitopological spacesAn introduction to vague complemented ordered setsAn enriched category approach to many valued topologyGeneralized quasi-proximities\(L\)-contiguities and their order structureCompletely continuous functions and \(R\)-map in fuzzifying topological spacePretopological and topological lattice-valued convergence spacesFuzzy sets and sheaves. I: Basic conceptsFuzzy sets and sheaves. II: Sheaf-theoretic foundations of fuzzy set theory with applications to algebra and topologyA unifying study between modal-like operators, topologies and fuzzy setsWeakly induced modifications of \(I\)-fuzzy topologiesExtensions of \(L\)-fuzzy closure spacesIdeal-valued topological structuresAlexandroff \(L\)-co-topological spacesRelationships between \(L\)-ordered convergence structures and strong \(L\)-topologiesHypergraph functor and attachmentCompactness in lattice-valued function spacesA note on regularityThe relationship between \(L\)-fuzzy rough set and \(L\)-topologyA one-point compactification for lattice-valued convergence spacesLargest and smallest T2-compactifications of lattice-valued convergence spacesMoore-Smith convergence in (L,M)-fuzzy topologyA survey of fuzzifications of frames, the Papert-Papert-Isbell adjunction and sobrietyLowen LM-fuzzy topological spacesInterweaving algebra and topology: lattice-valued topological systemsCategorical foundations of variety-based topology and topological systemsLattice-valued convergence spaces: extending the lattice contextL-fuzzy Q-convergence structuresOn adjunctions between Lim, SL-Top, and SL-LimCoreflective hull of finite strong L-topological spacesKernel systems on \(L\)-ordered setsApproximating orders in meet-continuous lattices and regularity axioms in many valued topologyRelationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics\(\mathcal{Q}\)-closure spacesConnectedness and local connectedness for lattice-valued convergence spacesNote on stratified \(L\)-ordered convergence structuresAn approach to fuzzy frames via fuzzy posetsConstruction of stratified \(L\)-fuzzy topological structuresSobriety and spatiality in categories of lattice-valued algebrasGähler's neighborhood condition for lattice-valued convergence spacesOn stratified \(L\)-convergence spaces: pretopological axioms and diagonal axiomsNet-theoretical convergence in \((L,M)\)-fuzzy cotopological spacesCompactification of lattice-valued convergence spacesCorrection to ``On many-valued stratified \(L\)-fuzzy convergence spacesPointed semi-quantales and lattice-valued topological spaces\(L\)-fuzzy closure systemsFrom quantale algebroids to topological spaces: fixed- and variable-basis approachesQuantitative domains via fuzzy sets. II: Fuzzy Scott topology on fuzzy directed-complete posetsGeneralized fuzzy topology versus non-commutative topologyOn characterizations of some covering properties in \(L\)-fuzzy topological spaces in Šostak's senseTopological aspects of non-convergent sequences -- a comment on Burgin's concept of fuzzy limitsOn \(L\)-fuzzy topological spacesFuzzy weakly preopen (preclosed) function in Kubiak-Šostak fuzzy topological spacesStratified \(L\)-ordered convergence structuresFuzzy points and attachmentA Stone-type duality for \(s T_0\) stratified Alexandrov \(L\)-topological spacesThe lower and upper \(p\)-topological (\(p\)-regular) modifications for lattice-valued convergence spacesStratified \(LMN\)-convergence tower spacesStratified categorical fixed-basis fuzzy topological spaces and their dualityOn diagonal completion of lattice-valued diagonal Cauchy spacesOn stratified \(L\)-convergence spaces: Fischer's diagonal axiomSome properties of \((r,s)-T_{0}\) and \((r,s)-T_{1}\) spacesSubcategories of lattice-valued convergence spacesDiscrete dynamical systems in \(L\)-topological spacesCharacteristic values of T-filtersProducts of elements in vague semigroups and their implementations in vague arithmetic.Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued ``intuitionistic sets, ``intuitionistic fuzzy sets and topologies




This page was built for publication: