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S. Sivasangiri
Open AccessArticle

On e*-regularity and e *-normality in intuitionistic fuzzy topological spaces

Annals of Communications in Mathematics 2021

, 4 (2)

, 172-179

DOI: https://doi.org/10.62072/acm.2021.040210

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.
Open AccessArticle

e⋆-connectedness in intuitionistic fuzzy topological spaces

Annals of Communications in Mathematics 2021

, 4 (1)

, 26-34

DOI: https://doi.org/10.62072/acm.2021.040104

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.