Abstract

The concepts of a filter-base and s-convergence and $\theta$-convergence of a filter-base in a fuzzy setting are defined and investigated. Fuzzy filter-base is used to characterize fuzzy S-closed and extremally disconnected spaces. Several other properties of these two types of spaces and comparison between different forms of compactness in fuzzy topology are established.

Keywords: s-converegence and $\theta$-convergence of a filter-base in a fuzzy setting; semi-open set; S-closed, extremally disconnected fuzzy topological spaces.

MSC: 54A40, 54D20

Pages:  37--45     

Volume  50 ,  Issue  1$-$2 ,  1998