Journal of Hyperstructures
Volume:12 Issue: 2, Summer and Autumn 2023

The target of this article is to peruse bipolar complex fuzzy subhypergroups (Hv−subgroups) by employing bipolar complex fuzzy sets and hyperstructures besides of this some related properties are debated. Furthermore, the notion of bipolar complex anti-fuzzy subhypergroups (Hv−subgroups) is presented. Their characteristics and their connections with bipolar complex fuzzy and anti-fuzzy subhypergroups (Hv−subgroups) are proposed, with several examples demonstrating these concepts.

This study introduces the idea of intuitionistic fuzzy soft hyperalgebra. First, intuitionistic fuzzy soft hyperalgebra is de ned and this de nition is supported with an example. A level soft set is formed over a hyperalgebra of an intuitionistic fuzzy soft set. The relation between soft hyperalgebras and intuitionistic fuzzy soft hyperalgebras is given. Finally, intuitionistic fuzzy soft hyperalgebra homomorphism is established and demonstrated if the image and inverse image of an intuitionistic fuzzy soft hyperalgebra are both intuitionistic fuzzy soft hyperalgebras under homomorphism.

When a suitable partial ordered relation is attached to a G-semihyperring, it results into an ordered G-semihyperring. Concepts of an ordered G-semihyperring, G-band, idempotent G-semihyperring, totally ordered G-semihyperring, positively ordered G-semihyperring, negatively ordered G-semihyperring are introduced which are useful to study derivation on ordered G-semihyperrings. Derivation is nothing but an additive mapping fulfilling the Leibniz rule. In this paper, we introduce the concept of (s ;t )-derivation which is a generalization of s -derivation and derivation on G-semihyperring and study some properties of (s ;t )-derivation on an ordered G-semihyperring. Some results reflecting different natures of (s ;t )-derivation depending on natures of the endomorphisms are encountered.

A spherical fuzzy set is an advanced extension of classical fuzzy set in which it has an added advantage to deal with a wider sense of applicability in uncertain situations. In this paper, regular spherical fuzzy graphs and totally regular spherical fuzzy graphs are introduced. A necessary and sufficient condition for regular spherical fuzzy graphs is given. Some properties of regular and totally regular spherical fuzzy graphs are studied.

Zagreb indices are one of the most extensively studied degree-based structural descriptors for analyzing various physicochemical properties of chemical compounds. In this paper, we define four new products of graphs based on adjacency relations and compute their Zagreb indices. Using these expressions we compute the Zagreb indices of various chemical compounds such as linear polyacene, a class of nanotubes NA2n m , toroidal fullerene NC2n 2m(H2n 2m) and hexagonal lattice.

In this paper we have developed C*-class function and introduced (Φ-C*)-contractions of Hardy-Rogers type on C*- algebra valued metric spaces.We have also established some unique common  xed point results for six maps in C*-algebra valued metric spaces using this type contractions. Some basic de nitions, properties and lemmas are also discussed in the introduction and preliminaries parts. Some corollaries and examples are also given on the basis of the results.

The main aim of this research paper is to introduce concept of quasi-partial Branciari b-metric space. Such spaces are an extension of quasi-partial metric spaces, quasi-partial b-metric spaces and quasi-partial Branciari metric spaces. In this article, rstly, Conditions for the existence and uniqueness of  xed points in underlying spaces are discussed and related theorems are proved. After that various consequences of these theorems are given and speci c examples are presented. Final

A topological index is a real number related to a graph, which is considered as a structural invariant. Some examples are Sombor index, Randic index, Zagreb indices, and Harmonic index. In the present paper, we consider the function Ind from the set of all rectangular grids to the set of real numbers, which assigns to each rectangular grid, one of its above indices. Then we show that the only non-degenerate indices over retangular grids, are Sombor index and Randic index, while Zagreb indices and the Harmonic index are degenerate. In the following, we determine rectangular grids with  xed diameter d, where maximum and minimum of the above indices occures on them, in the case m  3; n  3. Finally, we  nd the amounts of these indices.

Here our main objective is to introduce the notion of quasi hemi-slant submanifolds as a generalized case of slant submanifolds, semi-slant submanifolds and hemi-slant submanifolds of contact metric manifolds. We mainly focus on quasi hemi-slant submanifold of nearly trans-Sasakian manifold. During this manner, we tend to study and investigate integrability of distributions which are concerned in the de nition of quasi hemi-slant submanifold of nearly trans-Sasakian manifold. Moreover, we tend to get necessary and sucient conditions for quasi hemi-slant submanifold of nearly trans-Sasakian manifold to be totally geodesic for such manifolds.

This article is concerned with the linear continuous time delay switching system with state uncertainties and observation noise. The goal of this study is to investigate how an internal switching mechanism and the ecacy of a conventional proportional- derivative ILC method is impacted by ambient noise for linear continuous-time switching systems. The  ndings demonstrate that learning gains and the dynamics of the subsystems, rather than the time-driven switching rule, are primarily responsible for the convergence and robustness of the control method. An appropriate selection of learning gains can ensure the control algorithm's convergence and resilience given any arbitrary time-varying switching rule.

In this article, while studying 125 pediatric patients who have not descended testicles, we statistically examine the consequences of undescended testicular surgery in children referred to 17 Shahrivar Hospital in Rasht in the period 1394-1400. Then, while  nding the most e ective variables, we analyze them regression and arrive at a predictive model based on the adjusted variables in backward LR regression analysis.

The stenosis and non-Newtonian property of the  uid in the blood  ow represent the behavior of Herschel- Buckley  uid. In a tapered tube model all the vessels which carry blood towards the tissues are considered as long and its one end slowly tapering cones rather than cylinders. Since the blood  ow consist of two regions in which one is central region, consist of concentrated blood cells and its behavior is non-Newtonian and other region is peripheral layer of plasma which represent the Newtonian behavior of  uid motion. In present paper, we have considered the Bingham  uid model and study the  ow of blood in a uniform tapered tube and obtained conditions and its variation in various graphs for shear stress and pressure gradient.