Annals of Communications in Mathematics

AbstractThe purpose of this article is to study the concepts of fuzzy paraopen and fuzzy paraclosed sets in fuzzy topological spaces Further, we introduce few class of fuzzy maps namely fuzzy paracontinuous, ∗-fuzzy paracontinuous, fuzzy parairresolute, fuzzy minimal paracontinuous, fuzzy maximal paracontinuous mappings and study their prpoerties.

AbstractIn this paper the concept of types of intuitionistic fuzzy e ?-connected and intuitionistic fuzzy e ?-extremally disconnected in intuitionistic fuzzy topological spaces are introduced and studied. Here we introduce the concepts of intuitionistic fuzzy e ?C5- connectedness, intuitionistic fuzzy e ?CS-connectedness, intuitionistic fuzzy e ?CM-connectedness, intuitionistic fuzzy e ?-strongly connectedness, intuitionistic fuzzy e ?-super connectedness, intuitionistic fuzzy e ?Ci-connectedness (i = 1, 2, 3, 4), and obtain several properties and some characterizations concerning connectedness in these spaces.