Point-set lattice-theoretic topology
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Quantales, finite observations and strong bisimulation
Theoretical Computer Science
Fuzzy Sets and Systems
Categories of lattice-valued sets as categories of arrows
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Variable-basis topological systems versus variable-basis topological spaces
Soft Computing - A Fusion of Foundations, Methodologies and Applications - Special Issue on Fuzzy Set Theory and Applications; Guest Editors: Ferdinand Chovanec, Olga Nánásiová, Alexander Šostak
Hypergraph functor and attachment
Fuzzy Sets and Systems
Categorical foundations of variety-based topology and topological systems
Fuzzy Sets and Systems
Composite variety-based topological theories
Fuzzy Sets and Systems
Sobriety and spatiality in categories of lattice-valued algebras
Fuzzy Sets and Systems
On fuzzification of topological categories
Fuzzy Sets and Systems
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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The paper introduces a variety-based version of the notion of the (L,M)-fuzzy topological space of Kubiak and Sostak and embeds the respective category into a suitable modification of the category of topological systems of Vickers. The new concepts provide a common framework for different approaches to fuzzy topology and topological systems existing in the literature, paving the way for studying the problem of interweaving algebra and topology in mathematics, which was raised by Denniston, Melton and Rodabaugh in their recent research on variable-basis topological systems over the category of locales.