Pointwise topology on completely distributive lattices
Fuzzy Sets and Systems - Mathematics and Fuzziness, Part II
Fuzzy Sets and Systems
Point-set lattice-theoretic topology
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
The categorical topology approach to fuzzy topology and fuzzy convergence
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Theory of topological molecular lattices
Fuzzy Sets and Systems
Exponentiable objects in the category of topological molecular lattices
Fuzzy Sets and Systems - Special issue on categorical methods and techniques in fuzzy mathematics
Top is a reflective and coreflective subcategory of fuzzy topological spaces
Fuzzy Sets and Systems
Stratified L-ordered convergence structures
Fuzzy Sets and Systems
Relationships between L-ordered convergence structures and strong L-topologies
Fuzzy Sets and Systems
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The notion of a limit molecular lattice--a completely distributive lattice with some kinds of convergence of ideals on it--is introduced. It is proved that the category of limit molecular lattices is a cartesian closed category containing the category of topological molecular lattices as a bireflective full subcategory and the category of limit spaces as a reflective and coreflective subcategory, respectively. Noteworthy is the distinctive order property of the convergence of ideals on the limit molecular lattice compared to that of limit spaces. The L-fuzzy version of fuzzy limit space is introduced, and it is proved that the category of L-fuzzy limit spaces is a nonfull coreflective subcategory of the category of limit molecular lattices.