Abstract: In this paper several characterizations of fuzzy residual sets are established and the criteria for preservation of the fuzzy residuality of fuzzy sets under fuzzy continuous and fuzzy open functions between fuzzy topological spaces, are obtained.

Keywords: Fuzzy nowhere dense set, fuzzy somewhere dense set, fuzzy first category set, fuzzy second category set, fuzzy boundary, fuzzy Baire space, fuzzy resolvable space, fuzzy compact space.

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How to cite this article:

G.Thangaraj and R.Palani, A short note on fuzzy residual sets and fuzzy functions, International Journal of Advances in Mathematics, Volume 2017, Number 2, Pages 1-9, 2017.