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Smooth topological spaces on a fuzzy space. (English) Zbl 1005.54007

Summary: The smooth topology on a fuzzy space is defined as a function on the collection of all fuzzy subspaces (of a given fuzzy space), satisfying certain conditions. The interior and the closure of fuzzy subspaces and the continuity of fuzzy functions are studied. A comparison with the classical case is made.

MSC:

54A40 Fuzzy topology
54B05 Subspaces in general topology
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