We introduce a new class of fuzzy open sets called fuzzy $\bigwedge_e$ sets which includes the class of fuzzy $e$-open sets. We also define a weaker form of fuzzy $\bigwedge_e$ sets termed as fuzzy locally $\bigwedge_e$ sets.By means of these new sets, we present the notions of fuzzy $\bigwedge_e$ continuity and fuzzy locally $\bigwedge_e$ continuity which are weaker than fuzzy $e$-continuity and furthermore we investigate the relationships between these new types of continuity and some others. تفاصيل المقالة

In this paper, we introduce and characterize the concept of fuzzy almost generalized $e$-continuous mappings. Several interesting properties of these mappings are also given. Examples and counter examples are also given to illustrate the concepts introduced in the paper. We also introduce the concept of fuzzy $f T_{\frac{1}{2}}e$-space, fuzzy $ge$-space, fuzzy regular $ge$-space and fuzzy generalized $e$-compact space. It is seen that a fuzzy almost generalized $e$-continuous mapping from a fuzzy $f T_{\frac{1}{2}}e$-space to another fuzzy topological space becomes fuzzy almost continuous mapping. تفاصيل المقالة

The aim of this paper is to introduce and study the notions of fuzzy upper $e$-limit set, fuzzy lower $e$-limit set and fuzzy $e$-continuously convergent functions. Properties and basic relationships among fuzzy upper $e$-limit set, fuzzy lower $e$- limit set and fuzzy $e$-continuity are investigated via fuzzy $e$-open sets. تفاصيل المقالة

‎The purpose of this work is to define and investigate a new class of sets termed fuzzy nano $ Z $-open sets and fuzzy nano $ Z $-closed sets in fuzzy nano topological spaces‎, ‎as well as their basic properties‎. ‎We also talk about fuzzy nano $ Z $-closure and $ Z $-interior‎, ‎as well as their connections to fuzzy nano topological spaces‎. تفاصيل المقالة