scientific article; zbMATH DE number 6152787
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Publication:4915485
zbMath1260.03098MaRDI QIDQ4915485
Publication date: 10 April 2013
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productfuzzy setcoproductvarietytopological spacequantaloidlocalic algebramonadic logicpointed categorymonadic categoryordered categorysemi-quantalepowersetbiproductground category
Theory of fuzzy sets, etc. (03E72) Fuzzy topology (54A40) Theories (e.g., algebraic theories), structure, and semantics (18C10) Quantales (06F07)
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Lattice-valued topological systems as a framework for lattice-valued formal concept analysis ⋮ Relational, closure and partition powerset theories ⋮ Powerset operators induced by fuzzy relations as a basis for fuzzification of various mathematical structures ⋮ On limits and colimits of variety-based topological systems ⋮ Categorical foundations of variety-based topology and topological systems ⋮ Spaces with fuzzy partitions and fuzzy transform ⋮ Fuzzy objects in spaces with fuzzy partitions ⋮ Categorically algebraic topology versus universal topology ⋮ Sobriety and spatiality in categories of lattice-valued algebras ⋮ Generalized fuzzy topology versus non-commutative topology ⋮ Modules in the Category $$\mathtt {\mathbf{Sup}}$$ ⋮ Relational powerset theories ⋮ Another look on tense and related operators
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