Topology via logic
Point-set lattice-theoretic topology
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Theory of topological molecular lattices
Fuzzy Sets and Systems
A note on the hypergraph functor
Fuzzy Sets and Systems - Mathematics
Representations of fuzzy topologies
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
L-topological spaces as spaces of points
Fuzzy Sets and Systems
Fuzzy algebras as a framework for fuzzy topology
Fuzzy Sets and Systems
Generalized fuzzy topology versus non-commutative topology
Fuzzy Sets and Systems
On limits and colimits of variety-based topological systems
Fuzzy Sets and Systems
Interweaving algebra and topology: Lattice-valued topological systems
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
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Formal concept analysis and lattice-valued Chu systems
Fuzzy Sets and Systems
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In this paper a binary relation between L-sets, called attachment, is defined by means of a suitable family of completely coprime filters in L. Examples are given using several kinds of lattice-ordered algebras and a class of attachments is determined whose elements generalize Pu-Liu's quasi-coincidence relation. Mapping any L-set on X to the set of the attached L-points one gets a frame map from the L-powerset L^X to the powerset P(S"X) of the set S"X of L-points on X. This allows one to define functors from the category L-Top of L-topological spaces either to the category Top of topological spaces or to the category TopSys of topological systems. A comparison with the hypergraph functor is also included.