Abstract and concrete categories
Abstract and concrete categories
Point-set lattice-theoretic topology
Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
L-fuzzy version of Stone's representation theorem for distributive lattices
Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy set theory
A similarity-based generalization of fuzzy orderings preserving the classical axioms
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
Representations and constructions of similarity-based fuzzy orderings
Fuzzy Sets and Systems - Special issue: Preference modelling and applications
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
On lattice-valued frames: The completely distributive case
Fuzzy Sets and Systems
Pointed semi-quantales and lattice-valued topological spaces
Fuzzy Sets and Systems
A survey of fuzzifications of frames, the Papert--Papert--Isbell adjunction and sobriety
Fuzzy Sets and Systems
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In this paper, based on a complete Heyting algebra L, we define a fuzzy version of frames, called L- frames. Then we construct an adjunction between the category of stratified L- topological spaces and that of L- locales (the opposite category of L- frames), which is a fuzzy counterpart of the Isbell-adjunction between topological spaces and locales. We also study the corresponding sobriety of stratified L- topologies and spatiality of L- frames and show the dual equivalence between them.