International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 65-68, Pages 3587-3602
doi:10.1155/S0161171204401021

On smooth fuzzy subspaces

S.E. Abbas

Department of Mathematics, Faculty of Science, South Valley University, Sohag 82524, Egypt

Abstract

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.