University of MaraghehSahand Communications in Mathematical Analysis2322-580712120181101On Fuzzy $e$-open Sets, Fuzzy $e$-continuity and Fuzzy $e$-compactness in Intuitionistic Fuzzy Topological Spaces1311532822310.22130/scma.2017.28223ENVeerappan ChandrasekarDepartment of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.Durairaj SobanaDepartment of Mathematics, Kandaswami Kandar's College, P-velur-638 182, Tamil Nadu, India.Appachi VadivelDepartment of Mathematics, Annamalai University, Annamalainagar, Tamil Nadu-608 002.Journal Article20170108The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results related topological concepts. Several preservation properties and some characterizations concerning intuitionistic fuzzy $e$-compactness have been obtained.http://scma.maragheh.ac.ir/article_28223_d6627f811c2131111808205a013000f2.pdf