On S-closed and Extremally Disconnected Fuzzy Topological Spaces


Zlata Petričević


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.