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Fuzzy topology with respect to continuous lattices. (English) Zbl 0707.54004
Summary: Fuzzy topology with respect to a continuous lattice generalizes the classical theory. Continuous functions from a topological space to a lattice with the Scott topology constitute a fuzzy topology corresponding to that of lower semi-continuous functions with respect to the closed unit interval. Fuzzy set membership is conveniently represented by the way-below relation.

MSC:
54A40 Fuzzy topology
06B30 Topological lattices
06B35 Continuous lattices and posets, applications
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