Generating fuzzy topologies with semi-closure operators
Fuzzy Sets and Systems
Relationship of algebraic theories to powersets over objects in Set and Set×C
Fuzzy Sets and Systems
Separation axioms and the fuzzy real lines
Fuzzy Sets and Systems
Categories isomorphic to the Kubiak--Šostak extension of TML
Fuzzy Sets and Systems
Generated I-fuzzy topological spaces
Fuzzy Sets and Systems
Necessity of non-stratified and anti-stratified spaces in lattice-valued topology
Fuzzy Sets and Systems
From quantale algebroids to topological spaces: Fixed- and variable-basis approaches
Fuzzy Sets and Systems
Towards the theory of M-approximate systems: Fundamentals and examples
Fuzzy Sets and Systems
Generalized fuzzy topology versus non-commutative topology
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
Formal concept analysis and lattice-valued Chu systems
Fuzzy Sets and Systems
Categorically algebraic topology versus universal topology
Fuzzy Sets and Systems
On fuzzification of topological categories
Fuzzy Sets and Systems
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Different definitions of fuzzy topology have been stated and developed in the literature but have not been satisfactorily related to each other and to ordinary topology. To remedy this, a new fuzzy topological category FUZZ is defined: it is a significant generalization of previous definitions; it is the simplest setting yet constructed into which ordinary topology and these previous definitions may be placed (by identifying each with a different subcategory of FUZZ); it therefore allows us to conveniently analyze the relative merits of previous definitions, give coherence to known results, and indicate appropriate directions for future development; and it generates and may be viewed as both including and included in categories of fuzzy topological spaces which exhibit higher order fuzziness.