University of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601On the generalization of torsion functor and P-semiprime modules over noncommutative rings114303210.22098/jhs.2024.14375.1002ENTeklemichael WorkuBihonegnDepartment of Mathematics, Addis Ababa University0009-0001-2587-2812Tilahun AbebawDepartment of Mathematics, Addis Ababa UniversityNega AregaThe Namibia University of Science and Technology, Namibia0000-0001-9979-6229Journal Article20240104Let R be an associative Noetherian unital noncommutative ring R. We introduce the functor PΓ<sub>P</sub> over the category of R-modules and use it to characterize P-semiprime. P-semisecond R-modules also characterized by the functor PΛ<sub>P.</sub> We also show that the Greenless-May Duality (GM) and Matlis Greenless-May Equality(MGM) hold over the full subcategory of R-Mod consisting of R-semiprime and R-semisecond modules. Finally, we generate a one-sided right ideal PΓ<sub>P</sub>(R), which gives an equivalent formulation to solve K{\"o}the conjecture positively or negatively.https://jhs.uma.ac.ir/article_3032_b02124bc63a3058d662ac40248ecb1e4.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601The distance seidel spectrum of some graph operations1532303310.22098/jhs.2024.14425.1004ENDeena ScariaDepartment of Mathematics, St Aloysius College, Edathua, 689573, IndiaIndulal GopalDepartment of Mathematics, St Aloysius College, Edathua, 689573, IndiaJournal Article20240111The distance matrix, distance eigenvalue, and distance energy of a connected graph have been studied in detail in literature where as the study on distance seidel matrix associated with a connected graph is in progress. The eigenvalues ∂<sub>1</sub><sup>S</sup>≥∂<sub>2</sub><sup>S</sup>≥ ... ≥∂<sub>n</sub><sup>S </sup>of the distance seidel matrix D<sup>S</sup>(G) of a graph G forms the distance seidel spectrum of G. We describe here the distance seidel spectrum of some types of subdivision related graphs of a regular graph in terms of its adjacency spectrum. We also derive analytic expressions for the distance seidel energy of G(C<sub>p</sub>), the partial complement of the<br />subdivision graph of a cycle Cp and the distance seidel energy of S(C<sub>p</sub>), the complement of the even cycle C<sub>2p</sub>.https://jhs.uma.ac.ir/article_3033_bf90acc4c3fa38abcada7d2079b8a53a.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601Some properties of α−product on spherical fuzzy graphs3345304010.22098/jhs.2024.14780.1009ENB. Mohamed HarifPG and Research Department of Mathematics, Rajah Serfoji Government College
(Autonomous), Affiliated to Bharathidasan University, Thanjavur, India-613005.0009-0007-2110-3809Nazeera BegamResearch Scholar,_x000D_
Department of Mathematics,_x000D_
Rajah Serfoji Government College(Autonomous),_x000D_
(Affiliated to Bharathidasan University),_x000D_
Thanjavur-6130050009-0008-7265-1503Journal Article20240307In a network model involves incomplete and imperfect network states for which sophisticated analysis is needed. Spherical fuzzy sets could be more helpful for the analysis of network state more accurately. The following evaluation information may be provided by the decision maker: Yes, Abstain; No, Reject. To solve such problems, we can use a mathematical model based on spherical fuzzy sets. The mathematical models are something like a theory which should be able to explain observations of making useful predictions. In this paper, some properties of α−product on spherical fuzzy graphs are studied. Also, the regularity properties of α−product of two spherical fuzzy graphs are discussed. Theorems related these concepts are stated and proved.https://jhs.uma.ac.ir/article_3040_f25b7534c47b37affdc9a6b97aea245d.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601Conformal Ricci soliton in Sasakian manifolds admitting general connection4661304110.22098/jhs.2024.14940.1012ENRaghujyoti KunduDepartment of Mathematics, Raiganj University of Uttar Dinajpur, P.O.Box Raiganj, Raiganj, India0000-0001-9588-6323Ashoke DasDepartment of Mathematics, Raiganj University of Uttar Dinajpur, P.O.Box Raiganj, Raiganj, India0000-0001-9889-1849Ashis BiswasDepartment of Mathematics, Mathabhanga College of Mathabhanga, P.O.Box Mathabhanga, Coochbehar, IndiaJournal Article20240422The object of the present paper is to study the Conformal Ricci soliton in Sasakian manifold admitting general connection, which is induced with quarter symmetric metric connection, generalized Tanaka Webster connection, Schouten-Van Kampen connection and Zamkovoy connection. Furthermore, we study C<sup>G</sup>-semi symmetric and C<sup>G</sup>-semi symmetric Sasakian manifolds admitting Conformal Ricci Soliton.https://jhs.uma.ac.ir/article_3041_c60bdabff0107f4818edeb574f22e475.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601A statistical study on structures of patient privacy in Iran and their violations6278304410.22098/jhs.2024.3044ENEhsan Kazemnejad LeyliGuilan University of Medical Sciences, Faculty of Medicine, Rasht, Iran0000-0002-4035-2890Morteza Rahbar Taremsari,Guilan University of Medical Sciences, Faculty of Medicine, Rasht, Iran0000-0003-0950-7599Hamid Mohammadi KojidiGuilan University of Medical Sciences, Faculty of Medicine, Rasht, IranMahsa Faramin LashkarianGuilan University of Medical Sciences, Faculty of Medicine, Rasht, IranJournal Article20230325The aim of all the studies that have been conducted on the concept of patient privacy is to improve the standards of care. Personal privacy is a basic human principle and as a fundamental right of every human being, it is an important and necessary requirement that must be observed in health care and nursing organizations. Due to the fear of emerging and contagious diseases and the patients' fear of rejection from their families and in a wider sense of society, they hesitate to express the symptoms of contagious diseases as a social stigma, and this issue itself leads to disruption in It becomes the treatment process of the patients and doubles the importance of preserving the privacy of the patients. \linebreak Considering the many and abnormal consequences of violating the patient's privacy, such as increasing anxiety, stress, inciting aggressive and violent behaviors, and more importantly, hiding parts of the patient's history or medical history due to the concern of violating their privacy. This research will be conducted with the aim of investigating the level of privacy compliance and its related factors in corona patients of Razi Hospital in Rasht city in 2022.https://jhs.uma.ac.ir/article_3044_34f64b8306712ff0404c8d3fd27acd84.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601Some results on Bayes estimation under Linex loss function7993304510.22098/jhs.2024.3045ENMasoud GanjiFaculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran0000-0002-9054-433XFatemeh GharariDepartment of Statistics, University of University of Mohaghegh Ardabili, P.O.Box
56199-11367, Ardabili, Iran0000-0001-5323-3770Journal Article20220910In this paper, we introduced straightforward formulas for the Bayes risk linked to the Linex loss function, which we then applied to estimate parameters of the normal, Poisson, and fractional Weibull distributions.<br />We aimed to investigate the development of a linear Bayes estimator using the Linex loss function and successfully derived it for the normal and Poisson scenarios.<br />We also demonstrated the process of creating empirical Bayes estimates using Linex loss and applied it to observed frequencies f<sub>n</sub>(x)$ <br />produced by the Poisson-gamma model.https://jhs.uma.ac.ir/article_3045_9761782cb49c016467f7b4621ccdcf81.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601Convergence of Panigrahy iteration process for Suzuki generalized nonexpansive mapping in uniformly convex Banach space94108304610.22098/jhs.2024.14426.1005ENOmprash SahuDepartment of Mathematics, Babu Pandhri Rao Kridatt Govt.College Silouti, Dhamtari, Raipur(C.G.), India0000-0002-5832-4273Amitabh BanerjeePrincipal, Govt. J.Y. Chhattisgarh College, Raipur, IndiaJournal Article20240111In this paper, we establish strong and weak convergence theorems for Suzuki's generalized nonexpansive mapping in uniformly convex Banach spaces using the iterative scheme introduced by Panigrahy et al [9]. Next, we see an example of Suzuki's generalized nonexpansive mapping, which is not a nonexpansive mapping. Using this example and some numerical tests, we infer empirically that the Panigrahy iteration process converges faster than the Krasnoselskij, Thakur, and M-iteration processes.https://jhs.uma.ac.ir/article_3046_ce811fa337657db861dd22b49835ea04.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601Approach to fuzzy differential equations in Intuitionistic fuzzy metric spaces using generalized contraction theorems109123304910.22098/jhs.2024.14825.1011ENRam MilanSinghIEHE, BHOPAL0000-0001-6269-5248Deepak SinghMP GovernmentRahul GourhResearch Scholar, Department of Mathematics Institute for Excellence in Higher Ed-
ucation Bhopal, IndiaJournal Article20240318Approach to fuzzy differential equations in fuzzy metrics using generalized contra ction theorems One of the most fascinating fields of mathematical inquiry is fixed point.In this direction, by utilizing ”the triangular property of fuzzy metric ”, we investigate certain special common fixed point solutions for a pair of self mappings without continuity on fuzzy metric spaces under the generalized contraction requirements. We also provide generalized Ciri’s c contraction theorems and weak contraction theorems. The findings are corroborated by pertinent cases. Additionally, we provide a workable application of the fuzzy differential equation s to guarantee the presence of a singular common solution to support our primar y researchhttps://jhs.uma.ac.ir/article_3049_38e361ce2c5de918ff820b4055dbf963.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601Some fixed point theorem uses intimate mappings to produce intuitionistic fuzzy metric space123133306610.22098/jhs.2024.14813.1010ENRam MilanSinghInstitute for Excellence in higher Education, Bhopal, India0000-0001-6269-5248Journal Article20240315The aim of this research paper to use the concept of Intimate mappings to demonstrate the existence and uniqueness of common fixed point theorems for self-mappings in intuitionistic fuzzy metric space. The goal of this research work is to prove the existence and uniqueness of common fixed point theorems for selfmappings in intuitionistic fuzzy metric space using the notion of intimate mappingshttps://jhs.uma.ac.ir/article_3066_3d24689389b70b80db6ae83068d55b17.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240601On Cartan torsion of 4-dimensional Finsler manifolds134141307110.22098/jhs.2024.15204.1019ENAkbar TayebiDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Iran0000-0002-6380-7624Journal Article20240405There are several non-Riemannian curvatures in Finsler geometry which show the complexity of Finsler geometry with respect to Riemannian geometry. Amon these quantities, the Cartan and mean Cartan torsion have very important and brilliant positions. In this paper, we find the necessary and sufficient condition under which a 4-dimensional Finsler manifold is C-reducible. Also, we find the necessary and sufficient condition under which a 4-dimensional Finsler manifold has vanishing ${\bar I}$-curvature.https://jhs.uma.ac.ir/article_3071_9390eebd5b1d74e784c73a783a6a09f6.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843613120240620Python approach on fuzzy time series Arima (1, 1, 1) model to analyze original and predict results for online retail of fuel booking services142155309510.22098/jhs.2024.14953.1013ENB. Mohamed HarifPG and Research Department of Mathematics, Rajah Serfoji Government College
(Autonomous), Affiliated to Bharathidasan University, Thanjavur, India-613005.0009-0007-2110-3809Karthikeyan MResearch Scholars, PG and Research Department of Mathematics,
Rajah Serfoji Government College (Autonomous), Thanjavur-05 Tamilnadu, India.K. Perarasan3Assistant Professor, PG and Research Department of Mathematics,
Annai Vailankanni Arts and Science College, Thanjavur -07, Tamilnadu, India.Journal Article20240425This paper contributes to modeling and forecasting gas booking demand in an online retail environment using time series techniques. Our work demonstrates how historical demand data can be utilized to estimate future demand and its impact on the supply chain. The historical demand data were used to create several autoregressive integrated moving average (ARIMA) models using the Box-Jenkins time series procedure. The best model was selected based on four performance criteria: statistical results, maximum likelihood, and standard error. The selected model, ARIMA (1, 1, 1), was validated using additional historical demand data under the same conditions. The results demonstrate that the model can effectively estimate and forecast future demand for gas booking in an online retail environment. These findings will provide trustworthy guidance to the company's management in decision-making.https://jhs.uma.ac.ir/article_3095_59464c010574a3e43b358b1af1c38d4c.pdf