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On smooth fuzzy subspaces

International Journal of Mathematics and Mathematical Sciences
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  • Mathematics


We introduce a new concept of smooth topological subspaces, which coincides with the usual definition in the case where μ=χY, Y⊂X. Also, we introduce some concepts such as q-nbd systems, continuity, separation axioms, compactness, and connectedness in this sense. Also, various characterization for some fuzzy topological concepts in this sense are given.

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