Abstract: In this paper, some new notions in a fuzzy topological
space are introduced corresponding to the same concepts of general topology as
fuzzy covering map, p-canonical fuzzy
subset and fuzzy route. Among theresultsobtained, wecanmentiontheexistenceof a 1-1correspondence
between fuzzy maps and fuzzy path in We studied the fuzzy compact-open
topology and some fundamental properties are introduced such as when Y
is fuzzy Hausdorff (fuzzy regular), then is so. Finally, in this topology
the neighborhood of fuzzy path is constructed.
