Decomposition of Continuity in a Fuzzy Sequential Topological Space

Abstract

A new class of fuzzy sequential sets called fs-preopen sets is introduced and characterized. An fs-precontinuous mapping and strongly fs-precontinuous mapping are defined and studied. A necessary and sufficient condition under which an fs-preopen set is fs-open has been established. Apart from that, different kinds of sets, namely, fs alpha-open set, fs delta-set, fs A-set, locally fs-closed set, and fs S-preopen set have been studied. The interrelationships between them are investigated. Using them and the associated continuities, various decompositions of fs-continuity have been established.