Abstract

Without directly involving the role of points, we introduce and study the notions of fuzzy $\lambda$-Hausdorff spaces and fuzzy $\mu$-compact spaces. A characterization of a map $f$ from a fuzzy $\lambda$-Hausdorff space $X$ to a fuzzy $\mu$-compact space $Y$, where $\lambda=f^{-1}(\mu)$, to be fuzzy $\lambda$-continuous is obtained, which puts such a characterization for the continuity of $f$ in ordinary topological setting, for fuzzy topological spaces. These notions and results have been formulated for intuitionistic fuzzy topological spaces also.

Keywords: Fuzzy topology; intuitionistic fuzzy topology; fuzzy $\lambda$-Hausdorff space; fuzzy $\mu$-compact space; intuitionistic fuzzy $A$-Hausdorff space; intuitionistic fuzzy $A$-compact space.

MSC: 54A05

Pages:  145$-$155     

Volume  63 ,  Issue  2 ,  2011