2026-09-11T20:09:32+03:30 http://ijmsi.ir/browse.php?mag_id=43&slc_lang=en&sid=1

43-1836 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Ahmad Al-Omari omarimutah1@yahoo.com Takashi Noiri t.noiri@nifty.com In this paper, we introduce the notion of ψ-operation on an m-space (X, m). By using the ψ-operation, for every subset A of X, we define the ψ-operation Aψ(I, m) with respect to an ideal I and an m-structure m and investigate their properties. Moreover, on the m we introduce and investigate the notion of ψ-compatibility with an ideal I. Ideal m-space ψ-operation ψ-open m-open m_{ψ}^{∗)-open ψ-compatible. 2025 4 01 1 11 http://ijmsi.ir/article-1-1836-en.pdf 10.61186/ijmsi.20.1.1

43-1839 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Zeinab Hajimohammadi Z_Hajimohammadi@sbu.ac.ir Kourosh Parand k_parand@sbu.ac.ir Aida Pakniyat aida.pakniyat17@gmail.com This paper presents an advanced numerical approach that applies the quasilinearization method (QLM) and collocation method (CM) based on modified generalized Laguerre functions (MGLFs) to solve a nonlinear system of ordinary differential equations governing viscous flow with heat transfer and magnetic fields on a semi-infinite domain. We demonstrate the effectiveness and accuracy of the proposed method by comparing it with previous well-known methods. The results show that the proposed method provides an effcient and accurate solution to the problem. Viscous Flow Non-linear Stretching Modified Generalized Laguerre Functions Quasi Linearization Collocation Method System of Nonlinear Ordinary Differential Equations. 2025 4 01 13 41 http://ijmsi.ir/article-1-1839-en.pdf 10.61186/ijmsi.20.1.13

43-1911 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 João Carlos da Motta Ferreira joao.cmferreira@ufabc.edu.br Maria das Graças Bruno Marietto graca.marietto@ufabc.edu.br Let A and B be two factor von Neumann algebras. In this paper, we proved that a bijective mapping Φ : A → B satisfies Φ(ab+b◦a∗) = Φ(a)Φ(b)+Φ(b)◦Φ(a)∗ (where ◦ is the special Jordan product on A and B), for all elements a, b ∈ A, if and only if Φ is a ∗-ring isomorphism. In particular, if the von Neumann algebras A and B are type I factors, then Φ is a unitary isomorphism or a conjugate unitary isomorphism.   ∗-ring isomorphisms Factor von Neumann algebras. 2025 4 01 43 51 http://ijmsi.ir/article-1-1911-en.pdf 10.61186/ijmsi.20.1.43

43-1772 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Messaouda Gatcha messaoudamath2017@gmail.com Farid Messelmi foudimath@yahoo.fr Slami Saadi saadisdz@gmail.com We propose a new approach for image enhancement, denoising and restoration, using an anisotropic diffusion based on P-M model and L.V and al. equation, replacing the gradient by motion by mean curvature to detect noise direction for each degraded pixel locally, applying the gradient in Gaussian kernel term to restore the degraded pixels and adding a time term supporting the restoration process. For execution progress, the numerical discretization for the terms of PDE modeling (obtained by the approximation by difference finite volumes finite method, Taylor method and Simpsons improved method), concludes an algorithm treats noised image regardless the noise type (salt-pepper or Gaussian or speckle) better than other filters based whether on anisotropic diffusion or total, shown in the experimental results (using MATLAB program), and demonstrated through PSNR and SSIM.   Image restoration Anisotropic diffusion Regularization Noise filters. 2025 4 01 53 67 http://ijmsi.ir/article-1-1772-en.pdf 10.61186/ijmsi.20.1.53

43-1832 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Mehran Gabrani m.gabrani@urmia.ac.ir Bahman Rezaei b.rezaei@urmia.ac.ir Esra Sengelen Sevim esra.sengelen@bilgi.edu.tr In this paper, we consider the Riemannian curvature of one of the most important metric in Finsler geometry called general (α, β)- metrics, where α is a Riemannian metric and β is 1-form. We give a complete classification of the metrics to be R-quadratic and Ricci-quadratic. General (α β)-metric R-quadratic Ricci-quadratic. 2025 4 01 69 78 http://ijmsi.ir/article-1-1832-en.pdf 10.61186/ijmsi.20.1.69

43-1841 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 N. A. Abdul Rahman aswad.rahman@usm.my M. Z. Ahmad mzaini@unimap.edu.my In this study, we employ fuzzy Sumudu transform to find the solution for system of linear fuzzy differential equations where the system possesses fuzzy constant coeffcients instead of crisp. For this purpose, fuzzy Sumudu transform has been revisited and a brief comparison with fuzzy Laplace transform is provided alongside, particularly on the scale preserving property. For the sake of comparison, we introduce to the literature a time scaling theorem for fuzzy Laplace transform. Next, the system with fuzzy constant coeffcients is interpreted under the strongly generalized differentiability. From here, new procedures for solving the systems are proposed. A numerical example is then carried out for solving a system adapted from fuzzy radioactive decay model. Conclusion is drawn in the last section and some potential research directions are given. Fuzzy Sumudu transform Fuzzy differential equations System of fuzzy differential equations Fuzzy Laplace transform Radioactive decay model. 2025 4 01 79 100 http://ijmsi.ir/article-1-1841-en.pdf 10.61186/ijmsi.20.1.79

43-1847 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Shatha Alghueiri ghweiri64@gmail.com Khaldoun Al-Zoubi kfzoubi@just.edu.jo Let G be a group with identity e. Let R be a G-graded commutative ring and M a graded R-module. In this paper, we introduce the concepts of graded semi Jgr-2-absorbing and graded weakly semi Jgr-2-absorbing submodules of M and study the behavior of these notions under several constructions. A proper graded submodule N of M is said to be a graded semi Jgr-2-absorbing (resp. graded weakly semi Jgr-2-absorbing) submodule of M if whenever rg ∈ h(R) and mh ∈ h(M) with rg2mh ∈ N (resp. 0 ≠ rg2mh ∈ N), then either rgmh ∈ N + Jgr(M) or rg2∈ (N + Jgr(M) :R M), where Jgr(M) is the graded Jacobson radical.   Graded semi $J_{gr}$-2-absorbing submodules Graded weakly semi $J_{gr}$-2-absorbing submodules Graded $J_{gr}$-2-absorbing submodules. 2025 4 01 101 110 http://ijmsi.ir/article-1-1847-en.pdf 10.61186/ijmsi.20.1.101

43-1851 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Nongluk Viriyapong nongluk.h@msu.ac.th Chawalit Boonpok chawalit.b@msu.ac.th The purpose of the present paper is to introduce the concepts of ζς-R0 and ζς-R1 strong generalized topological spaces are defined by utilizing the notions of (ζ, ς)-open sets and (ζ, ς)-closure operators. Moreover, several characterizations of ζς-R0 and ζς-R1 strong generalized topological spaces are investigated. Generalized topological space (ζ ς)-open set (ζ ς)-closure $ζ_ς-R_0$ strong generalized topological space $ζ_ς-R_1$ strong generalized topological space. 2025 4 01 111 123 http://ijmsi.ir/article-1-1851-en.pdf 10.61186/ijmsi.20.1.111

43-1865 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 M. Saravanan dr.msaravanan8187@gmail.com KM. Kathiresan kathir2esan@yahoo.com The independence graph Ind(G) of a graph G is the graph with vertices as maximum independent sets of G and two vertices are adjacent, if and only if the corresponding maximum independent sets are disjoint. In this work, we find the independence graph of Cartesian product of d copies of complete graphs Kq, which is known as the Hamming graph H(d, q). Greenwell and Lovasz [7] found that the independence number of direct product of d copies of Kq as qd−1. We prove that the independence number of Hamming graph H(d, q), which is cartesian product of d copies of Kq, is also qd−1. As an application of our findings, we find answers for rook problem in higher dimensional square chess board. Hamming graph Cartesian product Independent set Independence Graph Rook problem. 2025 4 01 125 130 http://ijmsi.ir/article-1-1865-en.pdf 10.61186/ijmsi.20.1.125

43-1876 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Bilender P. Allahverdiev bilenderpasaoglu@gmail.com Hüseyin Tuna hustuna@gmail.com The existence problem is studied for the impulsive nonlinear Sturm–Liouville equation on the whole line. Existence and uniqueness results are obtained.   Impulsive Sturm-Liouville problem Singular point Weyl limitcircle case Completely continuous operator Fixed point theorems. 2025 4 01 131 149 http://ijmsi.ir/article-1-1876-en.pdf 10.61186/ijmsi.20.1.131

43-1878 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Sabahat Ali Khan khansabahat361@gmail.com Mohammad Yahya Abbasi mabbasi@jmi.ac.in Kostaq Hila kostaq_hila@yahoo.com Ahmad Raza arhanraza@gmail.com The aim of this paper is to establish a relationship between soft sets and Γ-semihypergroups. In this aspect, we have introduced soft intersection generalized interior Γ-hyperideals and soft intersection generalized bi-Γ-hyperideals of Γ-semihypergroups with some interesting examples. Moreover, we study some characterizations of regular, intraregular, semisimple and right weakly regular Γ-semihypergroups in terms of soft intersection generalized interior Γ-hyperideals and soft intersection generalized bi-Γ-hyperideals.   Γ-semihypergroups Soft generalized Γ-hyperideals Regular and intra-regular Γ-semihypergroups Interior simple Γ-semihypergroups. 2025 4 01 151 174 http://ijmsi.ir/article-1-1878-en.pdf 10.61186/ijmsi.20.1.151

43-1886 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Silvestru Sever Dragomir sever.dragomir@vu.edu.au In this paper, by the use of Gauss-Ostrogradsky identity, we establish some integral inequalities of Hermite-Hadamard type for functions of three variables defined on closed and bounded convex bodies of the Euclidean space R3. Some examples for 3-dimensional balls are also provided. Hermite-Hadamard inequality Triple integral inequalities GaussOstrogradsky identity. 2025 4 01 175 191 http://ijmsi.ir/article-1-1886-en.pdf 10.61186/ijmsi.20.1.175

43-1926 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Gholamreza Hesamian gh.hesamian@pnu.ac.ir Mohamad Ghasem Akbari g_z_akbari@birjand.ac.ir Mehdi Shams mehdishams@kashanu.ac.ir Multivariate regression is an approach for modeling the linear relationship between several variables. This paper proposed a ridge methodology with a kernel-based weighted absolute error target with exact predictors and fuzzy responses. Some standard goodness-of-fit criteria were also used to examine the performance of the proposed method. The effectiveness of the proposed method was then illustrated through two numerical examples including a simulation study. The effectiveness and advantages of the proposed fuzzy multiple linear regression model were also examined and compared with some well-established methods through some common goodness-of-fit criteria. The numerical results indicated that our prediction/estimation gives more accurate results in cases where multicollinearity and/or outliers occur in the data set.   Goodness-of-fit measure Robust Multicollinearity Kernel function Outlier. 2025 4 01 193 204 http://ijmsi.ir/article-1-1926-en.pdf 10.61186/ijmsi.20.1.193

43-1919 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Tadeusz Antczak tadeusz.antczak@wmii.uni.lodz.pl Izhar Ahmad drizhar@kfupm.edu.sa In this paper, a new class of nonconvex differentiable multiobjective programming problems involving n-set functions with both inequality and equality constraints is considered. Then, under V-r-convexity and/or generalized V-r-convexity hypotheses, several suffcient optimality conditions, saddle point criteria and various mixed duality theorems are proved for such not necessarily convex vector optimization problems involving n-set functions. Vector optimization problem with n-set functions Optimality conditions Saddle point criteria Mixed duality V -r-convex n-set function. 2025 4 01 205 229 http://ijmsi.ir/article-1-1919-en.pdf 10.61186/ijmsi.20.1.205

43-1936 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 Abbas Heydari Heydari@arakut.ac.ir Let G be a simple connected graph. The terminal distance matrix of G is the distance matrix between all pendant vertices of G. In this paper, we study the terminal distance matrix and compute the characteristic polynomial of this matrix for some rooted trees. Also we obtain lower bounds for the spectral radius of the terminal distance matrix of graphs and characterize those graphs for which the bounds are best possible.   Terminal distance matrix Terminal distance spectral radius Terminal Wiener index. 2025 4 01 231 241 http://ijmsi.ir/article-1-1936-en.pdf 10.61186/ijmsi.20.1.231

43-2883 2026-09-11 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2025 20 1 The Name of Authors in this Volume ma.hoseinzade@gmail.com Please see the full text contains the Persian abstracts of this volume.  ABSTRACTS PERSIAN Vol. 20 No. 1. 2025 4 01 243 258 http://ijmsi.ir/article-1-2883-en.pdf