Annals of Communications in Mathematics

AbstractAim of this article, Rajasekaran [11] introduced strongly pre-I-open sets and in nano topological spaces. The relationships of strongly pre-nI-open sets with various other nano RI -set and nano I-locally closed sets are investigated.

AbstractWe introduce the notions of nano L*-perfect, nano R*-perfect, and nano C*-perfect sets in ideal nano spaces and study their properties. We obtained a characterization for compatible ideals via nano R*-perfect sets and and investigate further their important properties

AbstractIn this article, we define the concept of Pythagorean Q-anti neutrosophic ideal in gamma semigroup, Pythagorean Q-anti neutrosophic bi-ideal in gamma semigroup, and Pythagorean Q-anti neutrosophic interior ideal in gamma semigroup. We have illustrated the definition with an example. We have shown that Pythagorean Q- anti neutrosophic bi-ideal is a fuzzy bi-ideal and Pythagorean Q-anti neutrosophic ideal is a Pythagorean Q-anti neutrosophic interior ideal. Also, we have established some of its properties in detail.

AbstractIn this paper, we study DFS left (right, two-sided) ideals, DFS (generalized) bi-ideals, DFS interior ideals and DFS (1, 2)-ideals of (2,2)-regular AG–Groupoid over an initial universe set U. We have shown that these DFS ideals are coincides in a (2,2)-regular unitary AG–Groupoid. Further we investigate some useful conditions for an AG–Groupoid to become a (2,2)-regular AG–Groupoid and characterize a (2,2)-regular AG–Groupoid in terms of DFS ideals. Finally we apply DFS expert sets to develop a decision making scheme for everyday problems.

AbstractIn this paper, we introduce the concepts of rarely fuzzy Irw-continuous functions in fuzzy topological spaces. Some interesting properties and characterizations of them are investigated. Also, some applications to fuzzy compact spaces are established.

AbstractIn this paper, we introduce the concept of neutrosophic regular semi compactness, neutrosophic regular semi connectedness, neutrosophic regular semi strongly connectedness and neutrosophic regular semi-C5-connectedness in neutrosophic topological spaces. Some interesting properties of these notions are studied. In this connection, interrelations are discussed. Example are provided wherever necessary.