Topology via logic
Fuzzy topology with respect to continuous lattices
Fuzzy Sets and Systems
Elements of generalized ultrametric domain theory
Theoretical Computer Science
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Section-retraction-pairs between fuzzy domains
Fuzzy Sets and Systems
I-fuzzy Alexandrov topologies and specialization orders
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
Continuity in quantitative domains
Fuzzy Sets and Systems
Quantitative domains via fuzzy sets: Part I: Continuity of fuzzy directed complete posets
Fuzzy Sets and Systems
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On a fuzzy dcpo with a frame L as its valued lattice, we define an L-fuzzy Scott topology by means of graded convergence of stratified L-filters. It is a fuzzy counterpart of the classical Scott topology on a crisp dcpo. The properties of L-fuzzy Scott topology are investigated. We establish Scott convergence theory of stratified L-filters. We show that for an L-set, its degree of Scott openness equals to the degree of Scott continuity from the underlying fuzzy dcpo to the lattice L (also being viewed as a fuzzy poset). We also show that a fuzzy dcpo is continuous iff for any stratified L-filter, Scott convergence coincides with topological convergence (w.r.t. the L-fuzzy Scott topology).