POWERSET OPERATOR BASED FOUNDATION FORPOINT-SET LATTICE-THEORETIC (POSLAT) FUZZY SET THEORIES and TOPOLOGIES
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Publication:4383798
DOI10.1080/16073606.1997.9632018zbMath0911.04003OpenAlexW1976823852MaRDI QIDQ4383798
Publication date: 19 April 1999
Published in: Quaestiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/16073606.1997.9632018
Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Theory of fuzzy sets, etc. (03E72) Fuzzy topology (54A40)
Related Items (49)
CHARACTERIZATIONS OF (L;M)-FUZZY TOPOLOGY DEGREES ⋮ Transporting many-valued sets along many-valued relations ⋮ Category theoretic aspects of chain-valued frames. I: Categorical and presheaf theoretic foundations ⋮ Uniform-type structures on lattice-valued spaces and frames ⋮ One-point compactifications of ditopological texture spaces ⋮ Lattice-valued topological systems as a framework for lattice-valued formal concept analysis ⋮ Lattice-valued soft algebras. ⋮ \(L\)-topological-convex spaces generated by \(L\)-convex bases ⋮ Relational, closure and partition powerset theories ⋮ Towards the theory of \(\mathbb M\)-approximate systems: Fundamentals and examples ⋮ Hypergraph functor and attachment ⋮ Powerset operators induced by fuzzy relations as a basis for fuzzification of various mathematical structures ⋮ On limits and colimits of variety-based topological systems ⋮ On a generalization of the concept of state property system ⋮ Categorical foundations of variety-based topology and topological systems ⋮ Fuzzy topological properties and hereditariness. ⋮ Spaces with fuzzy partitions and fuzzy transform ⋮ On a Category of Extensional Fuzzy Rough Approximation L-valued Spaces ⋮ Fuzzy objects in spaces with fuzzy partitions ⋮ Extended real dicompactness and an application to Hutton spaces ⋮ Relationship of algebraic theories to powerset theories and fuzzy topological theories for lattice-valued mathematics ⋮ On approximate-type systems generated by \( L\)-relations ⋮ THE SUBSPACE PROBLEM IN THE TRADITIONAL POINT-SET CONTEXT OF FUZZY TOPOLOGY ⋮ Composite variety-based topological theories ⋮ Sobriety and spatiality in categories of lattice-valued algebras ⋮ Further results on \(L\)-valued filters ⋮ Preserving continuity by Zadeh extension and invariance of separation axioms under surjections ⋮ From quantale algebroids to topological spaces: fixed- and variable-basis approaches ⋮ Fuzzy algebras as a framework for fuzzy topology ⋮ Generalized fuzzy topology versus non-commutative topology ⋮ Structured lattices and topological categories of \(L\)-sets ⋮ Relationship of algebraic theories to powersets over objects in \(\mathbf {Set}\) and \(\mathbf {Set}\times C\) ⋮ Variable-basis topological systems versus variable-basis topological spaces ⋮ Unnamed Item ⋮ Axiomatic of lattice-valued \(F\)-transform ⋮ On the Lattice of Stratified Principal L-topologies ⋮ Variable-Range Approximate Systems Induced by Many-Valued L-Relations ⋮ Concave \((L, M)\)-fuzzy interior operators and \((L, M)\)-fuzzy hull operators ⋮ F-transforms and semimodule homomorphisms ⋮ Fuzzy complete lattices ⋮ On ordered categories as a framework for fuzzification of algebraic and topological structures ⋮ Relational powerset theories ⋮ Completeness and an extension theorem for continuous fuzzy linear order-homomorphisms ⋮ Local connectedness in \(L\)-topological spaces ⋮ Some remarks on fuzzy powerset operators ⋮ Discrete dynamical systems in \(L\)-topological spaces ⋮ Characteristic values of T-filters ⋮ Order-theoretic, topological, categorical redundancies of interval-valued sets, grey sets, vague sets, interval-valued ``intuitionistic sets, ``intuitionistic fuzzy sets and topologies ⋮ Generalization of inductive topologies to \(L\)-topological vector spaces
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