Annals of Communications in Mathematics

AbstractIn this paper, the concept of intuitionistic fuzzy e ∗-open and e ∗-closed sets to introduce some new types of intuitionistic fuzzy e ∗-separation axioms, intuitionistic fuzzy e ∗-Ti space (for i = 3, 4) and intuitionistic fuzzy e ∗-regular and e ∗-normal spaces are introduced, some theorems about them are investigated. Stronger forms of intuitionistic fuzzy e ∗-regular and intuitionistic fuzzy e ∗-normal spaces are introduced. Moreover, the relationships between these separation axioms and others are investigated.

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.