An International Journal

ISSN: 2582-0818

Home 9 acm: Vol.5, No.3, 2022

Volume 5, Number 3 (2022)-Table of Contents

Open AccessArticle

Interval-valued Fuzzy almost bi-ideals of near-rings

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.
Open AccessArticle

Functions and its implications on ζ -nano topological space

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.
Open AccessArticle

Neutrosophic micro topological spaces

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.
Open AccessArticle

The form of the solutions of fourth order rational systems of difference equations

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.
Open AccessArticle

A new approach to neutrosophic soft set minimal structure spaces

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.
Open AccessArticle

Existence of generalized super quasi-constant curvature

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.
Open AccessArticle

Some improvised sets in Grill topological spaces

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.