Annals of Communications in Mathematics 2022
, 5 (3)
, 138-144
DOI: https://doi.org/10.62072/acm.2022.050301
AbstractIn this paper, we introduce the concept of interval valued fuzzy almost biideals of near-rings. Which is a generalized concept of fuzzy almost bi-ideals of nearrings. We also characterize some properties and provide examples of interval-valued fuzzy almost bi-ideals of near-rings.
Annals of Communications in Mathematics 2022
, 5 (3)
, 145-152
DOI: https://doi.org/10.62072/acm.2022.050302
AbstractIn this paper, we are studying about a function’s between domain ζ-nano topological spaces and codomain nano topological spaces which means every nano topology has its inverse image in ζ-nano topology(i.e., ζ-continuous). We establish the ζcluster point in ζ-continuous. We search image from a ζ-open sets (ζ-closed set) to a nano open sets(nano closed sets) is called a ζ-open map(ζ-closed map). Finally, some of the results are portrayed with these ζ-continuity with N -continuity and we extended to ζ-homeomorphism.
Annals of Communications in Mathematics 2022
, 5 (3)
, 153-160
DOI: https://doi.org/10.62072/acm.2022.050303
AbstractIn this article, we introduce the concept of neutrosophic micro topological spaces. Some interesting properties like neutrosophic micro interior, neutrosophic micro closure and neutrosophic micro continuous are studied. In this connection, interrelations are discussed. Example are provided wherever necessary.
Annals of Communications in Mathematics 2022
, 5 (3)
, 161-180
DOI: https://doi.org/10.62072/acm.2022.050304
AbstractIn this paper, we get the form of the solutions of the following difference equation systems of order four where the initial conditions z−3, z−2, z−1, z0, w−3, w−2, w−1, w0 are arbitrary nonzero real numbers.
Annals of Communications in Mathematics 2022
, 5 (3)
, 181-193
DOI: https://doi.org/10.62072/acm.2022.050305
AbstractThis chapter is an introduction of neutrosophic soft set minimal structure space and addresses properties of neutrosophic soft set minimal structure space. Neutrosophic set has plenty of applications. Moreover, we introduced neutrosophic soft set minimal closed set , neutrosophic soft set minimal open set, neutrosophic soft set minimal interior of (Fe, E), neutrosophic soft set minimal closure of (Fe, E), NSSm(Fe, E)-continuous, NSSm(Fe, E)-T0, NSSm(Fe, E)-T1, NSSm(Fe, E)-T2, NSSm(Fe, E)-compact, almost NSSm(Fe, E)-compact. We also present some of their basic properties.
Annals of Communications in Mathematics 2022
, 5 (3)
, 194-206
DOI: https://doi.org/10.62072/acm.2022.050306
AbstractIn this paper we define and study a new kind of quasi-constant curvature called generalized super-quasi-constant curvature. The existence of a generalized super quasi-constant curvature has also been verified by an example. We prove that a super quasi-umbilical hypersurface of a constant curvature manifold is a generalized super quasiconstant curvature manifold. Furthermore, it is proved that manifold of generalized super quasi-constant curvature is a super quasi-Einstein manifold. We have also introduced a sufficient condition to be a Super quasi-Einstein manifold. Lastly, we construct an example super quasi-Einstein manifold in general form.
Annals of Communications in Mathematics 2022
, 5 (3)
, 207-211
DOI: https://doi.org/10.62072/acm.2022.050307
AbstractAim of this paper, the new grill notions are studied using grill topological spaces and by using some defined sets where the sets Gt-set and GR-set are defined. Properties of this set and some relationships are investigated and deal with a grill topological spaces.