The epireflective hull of the Sierpinski object in FTS
Fuzzy Sets and Systems
Handbook of logic in computer science (vol. 3)
Elements of generalized ultrametric domain theory
Theoretical Computer Science
Separation axioms in L-fuzzy topological spaces (I): T0 and T1
Fuzzy Sets and Systems
Fundamental study: Complete and directed complete Ω-categories
Theoretical Computer Science
On many-valued stratified L-fuzzy convergence spaces
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Continuity in quantitative domains
Fuzzy Sets and Systems
Subcategories of lattice-valued convergence spaces
Fuzzy Sets and Systems
L-fuzzy Scott Topology and Scott Convergence of Stratified L-filters on Fuzzy Dcpos
Electronic Notes in Theoretical Computer Science (ENTCS)
A survey of fuzzifications of frames, the Papert--Papert--Isbell adjunction and sobriety
Fuzzy Sets and Systems
Two cartesian closed subcategories of fuzzy domains
Fuzzy Sets and Systems
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This paper pursues an investigation on quantitative domains via fuzzy sets initiated by the first author. This time we define an L-topology, called the fuzzy Scott topology, on fuzzy dcpos and investigate its properties. Scott convergence of stratified L-filters is also defined and studied. We show that a fuzzy dcpo (X,e) is continuous if and only if for any stratified L-filter on X, Scott convergence coincides with the convergence with respect to the fuzzy Scott topology. At last, we show that the category of fuzzy dcpos with fuzzy Scott continuous maps is Cartesian-closed.