MATEMATIČKI VESNIK
МАТЕМАТИЧКИ ВЕСНИК



MATEMATIČKI VESNIK
On Hausdorffness and compactness in intuitionistic fuzzy topological spaces
K. K. Azad and Shiva Mittal

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.

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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