University of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230701Bi-interior, quasi-interior and bi-quasi-interior Γ-hyperideal in Γ-semihyperring117250910.22098/jhs.2023.2509ENChaitanyaB. KumbhardeDepartment of Mathematics, SNJB's KKHA Arts, SMGL Commerce & SPHJ Science
College, Chandwad, Dist. Nashik, 423 101, M.S. IndiaKishorF. PawarDepartment of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai
Chaudhari North Maharashtra University, Jalgaon, 425 001 M.S., IndiaSafooraJ. AnsariDepartment of Mathematics, SNJB's KKHA Arts, SMGL Commerce & SPHJ Science
College, Chandwad, Dist. Nashik, 423 101, M.S. IndiaJournal Article20230126The concept of a Γ-semihyperring is a generalization of a semiring, semihyperring, Γ-semiring. In this Paper we introduce<br />the notion of bi-interior Γ-hyperideals, quasi-interior Γ-hyperideals and bi-quasi-interior Γ-hyperideals in a <br />Γ-semihyperring as a generalization of Γ-hyperideal, left-Γ-hyperideal, right-Γ- hyperideals, bi Γ-hyperideal, quasi <br />Γ-hyperideal, interior Γ-hyperideals of Γ-semihyperring. We studied the properties of these Γ-hyperideals and characterized them in simple Γ-semihyperring and regular Γ-semihyperringhttps://jhs.uma.ac.ir/article_2509_5df12f6744b1fb8b3435836707e71c77.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601Semi-derivation on prime hyperrings1829251010.22098/jhs.2023.2510ENNikhilD. SononeDepartment of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai
Chaudhari North Maharashtra University Jalgaon-425 001, India.KishorF. PawarDepartment of Mathematics, School of Mathematical Sciences, Kavayitri Bahinabai
Chaudhari North Maharashtra University Jalgaon-425 001, India.Journal Article20230209In this paper, we study the notion of semi-derivation in Krasner hyperring and present some examples of them.<br />We intro-duce the concept of generalized semi-derivation in Krasner hyper-ring and present some examples.<br />Then, we derive some properties of semi-derivation on Krasner hyperring which proves the commu-tativity of a Krasner hyperring. Later we prove if f is a non-zero semi-derivation on Krasner hyperring R, then f<sup>2</sup>≠ 0 on R. Finally, for a generalized semi-derivation F on R, if F(u o v)=0, for all u,v∈ I, then R is commutative.https://jhs.uma.ac.ir/article_2510_cb032f41d0e61afd95e8eab26b7e2c46.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601Fuzzy α-modularity in fuzzy α-Lattices3050251110.22098/jhs.2023.2511ENPayalA. KhubchandaniDepartment of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, Pune 411037, IndiaJyotiA. KhubchandaniDepartment of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, Pune 411037, IndiaJournal Article20230417In this paper, we have introduced and studied the no-tion of a fuzzy independent pair and obtain some properties of fuzzy α-modular pairs and independent pairs.https://jhs.uma.ac.ir/article_2511_ac7bb71eded47ba836c2b4830be8657c.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601SB-neutrosophic structures in BCK/BCI-algebras5177251210.22098/jhs.2023.2512ENBavanariSatyanarayanaDepartment of Mathematics, Acharya Nagarjuna University,{Guntur-522 510, Andhra Pradesh, IndiaShakeBajiDepartment of Mathematics, Sir C. R. Reddy college of Engineering, Eluru-534 007, Andhra Pradesh, IndiaDolaDevanandamGovernment degree college, Chintalpudi-534 460, Eluru, Andhra Pradesh, IndiaJournal Article20230302This article presents the novel set termed SB - neutro-sophic set (SB-NSS), which extends the concept of the Neutrosophic set (NSS). We illustrate its fundamental operations with examples.This concept of SB-NSSs is applied<br />to BCK/BCI-algebras, and we introduce the notion of SB-neutrosophic subalgebra (SB-NSSA), SB-neutrosophic ideal<br />(SB-NSI), and related properties are investi-gated. Furthermore, we provide conditions for an SB-NSS to be an<br />SB-NSSA, for an SB-NSS to be an SB-NSI, and for an SB-NSSA to be an SB-NSI. In a BCI-algebra, conditions for an<br />SB-NSI to be an SB-NSSA are given.https://jhs.uma.ac.ir/article_2512_3c706525e496d6950594fea4b492e439.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601Fuzzy semi-orthogonality in fuzzy lattices7890251310.22098/jhs.2023.2513ENMeenakshiP. WasadikarFormerly of Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431004, IndiaPayalA. KhubchandaniDepartment of Engineering Sciences and Humanities, Vishwakarma Institute of Technology, Pune 411037, IndiaJournal Article20230124We consider the notion of fuzzy lattices introduced by Chon and define a fuzzy semi-ortholattice and a fuzzy <br />semi-orthocomplemented lattice. We investigate some algebraic proper-ties of these fuzzy lattices such as a sufficient condition of a fuzzy semi-lattice and the equivalent relationship between fuzzy covering property and fuzzy exchange property in fuzzy lattices.https://jhs.uma.ac.ir/article_2513_d2f9cd5bab54c1d5ec3ebdbe1ae0f892.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601Some notes on soft neighborhood91102251410.22098/jhs.2023.2514ENMustafaBurc KandemirDepartment of Mathematics, Mugla Stk Kocman University, 48170 Mugla, TurkeyGulDursunDepartment of Mathematics, Mugla Stk Kocman University, 48170 Mugla, TurkeyJournal Article20220401In this paper, the concept of soft neighborhood of an element in a soft topological space is introduced, and its basic <br />prop-erties are studied.https://jhs.uma.ac.ir/article_2514_cd7ea3621bef85e2516b9bc4ebc7ae87.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601Study of temporal intuitionistic fuzzy metric space103110251510.22098/jhs.2023.2515ENRamMilan SinghDepartment of Mathematics, Institute for Excellence in higher Education, Bhopal , India0000-0001-6269-5248Journal Article20221030In order to create a dynamic measure that describes distances between spatiotemporal points whose positions change<br />over time as well as between the data represented by these points,a temporal intuitionistic fuzzy metric space is created in this pa-per. The notions of temporal fuzzy t-norm, temporal fuzzy t-conorm, and temporal fuzzy negation which have not previously been discussed in the literature are defined, and some of their fun-damental characteristics are investigated, in order to define this new method.The idea that the degrees of nearness and non-nearness change with time is the basis for a novel definition of the concept of temporal intuitionistic fuzzy metric spaces. However, the basic<br />topological characteristics of the temporal intuitionistic fuzzy met-ric space are also looked at. We demonstrate how this new temporal metric space preserves the basic characteristics offered by both clas-sical and fuzzy metric spaces. As a result, a new, more flexible, and dynamic metric topology is created while maintaining the fundamental topological characteristics of fuzzy and intuitionistic fuzzy metric spaces.https://jhs.uma.ac.ir/article_2515_65e2d7bdd75c86a90d2016bfb3c4c7d9.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601Fixed points of multi-valued Suzuki nonexpansive mappings in hyperbolic spaces111133251610.22098/jhs.2023.2516ENKiranDewanganDepartment of Mathematics, Government Dudhadhari Bajrang Girls Postgraduate Autonomous College, P.O.Box-492001 (C.G.), Raipur, India0000-0001-6971-4552Journal Article20230203In this paper, we have proved fixed point results for multi-valued Suzuki nonexpansive mappings in complete hyperbolic spaces along with application.https://jhs.uma.ac.ir/article_2516_2be6e745b5b6761d9bd769c3b538aeb0.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601On right (left) θ-centralizers on Banach algebras134141251710.22098/jhs.2023.2517ENGhazalMoradkhaniDepartment of Mathematics, Faculty of Science, University of Kurdistan, P.O. Box 416, Sanandaj, Kurdistan, Iran.NedaGhoreishiDepartment of Mathematics, Faculty of Science, University of Kurdistan, P.O. Box 416, Sanandaj, Kurdistan, Iran.Journal Article20220705Let A be a Banach algebra with unity 1, and θ : A → A be an continuous automorphism. In this paper we characterize<br />a continuous linear map T : A → A which satisfies one of the following conditions:<br />a, b ∈ A, ab = w =⇒ θ(a)T(b) = T(w),<br />a, b ∈ A, ab = w =⇒ T(a)θ(b) = T(w),<br />or a, b ∈ A, ab = w =⇒ θ(a)T(b) = T(a)θ(b) = T(w) , where w ≠ 0 is a left (right) separating point of A.https://jhs.uma.ac.ir/article_2517_719b404447a952b5ed85523b663df3a0.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601A new approach to solving uncertain linear systems143157251810.22098/jhs.2023.2518ENBehrouzFathi VajargahDepartment of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranMojtebaMoradiDepartment of Indus. Eng., Faculty of Technology and Eng., University of Guilan, Roudsar, Vajargah, IranMohadeseShaghelani LoorDepartment of Statistics, Faculty of Mathematical Sciences, University of Guilan, Rasht, IranJournal Article20210806Uncertain linear systems are defined and these linear systems using Log-normal and Zigzag variables based on their<br />in-verse distributions are investigated. A method for solving Log-normal and Zigzag linear uncertain devices has been designed and conditions for the existence of an uncertain linear has been pro-vided. To show the effectiveness of the proposed method, two ex-amples are given. Finally, a diet is presented to demonstrate the scientific importance of uncertain linear systems. https://jhs.uma.ac.ir/article_2518_71b453bcf40074890cf44214d6dff26c.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection158172251910.22098/jhs.2023.2519ENShamsurRahmanFaculty of Mathematics, Maulana Azad National Urdu University, Polytechnic of Campus Darbhanga Bihar- 846002, IndiaSabiAhmadDepartment of Mathematics, University of RKDF, Ranchi, Jharkhand 834004, Ranchi, IndiaNiranjanKumar MishraDepartment of Mathematics, University of RKDF, Ranchi, Jharkhand 834004, Ranchi, IndiaJournal Article20221018In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakian<br />manifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥ and ET , where E⊥ and ET are anti-invariant and invariant submanifolds of a nearly <br />(ε, δ)-trans-Sasakian manifold with a quarter symmetric non metric connection M, respectively. We also obtain a characterization for such type of warped product. https://jhs.uma.ac.ir/article_2519_835e99ddb89a7f5e3f1af8f4e8b4db48.pdfUniversity of Mohaghegh ArdabiliJournal of Hyperstructures2251-843612120230601On the L-duality of a Finsler space with special (α, β) metric173182252010.22098/jhs.2023.2520ENBrijeshKumar TripathiDepartment of Mathematics, L. D. College of Engineering, Ahmedabad, Gujarat-380015, India.ManojKumar SinghDepartment of Mathematics, Government Engineering College-Dahod, Gujarat-389151, India.Journal Article20220316R. Miron initiated the study of L-duality in Lagrange and Finsler spaces in 1987.The concrete L-duals of the Randers met-ric, Kropina metric, Matsumoto metric, exponential metric, as well as a few more unique (α, β)- metrics, are really just an of the re-markable results obtained.The importance of L-duality, however, is basically limited to finding the dual of a few key Finsler functions.In this paper, we find L- Dual of a Finsler space with a special (α, β)- metric F =(α+β)<sup>3</sup>/α<sup>2</sup> , where α is a Riemannian metric and β is a differential one form.https://jhs.uma.ac.ir/article_2520_26613f46dff7cb585f25e4d74c39b3e8.pdf