On fuzzy supratopological spaces (Q1822076)

The concepts of supratopological space, supraopen sets and related concepts were introduced previously. The present paper contains a generalization of these concepts to the fuzzy setting. The author introduces fuzzy suprcontinuity as a generalization of fuzzy continuity, fuzzy semi-continuity, fuzzy \(\alpha\)-continuity and fuzzy precontinuity. Finally, \(\alpha\)-supracompactness is introduced. It is shown by an example that SF-continuous mappings need not be F-continuous and that fuzzy supraopen mappings need not be fuzzy open.