1 1735-4463 ACECR at Tarbiat Modares University 1836 General A Topology Generated by ψ-Operation and Ideal Spaces Al-Omari Ahmad b Noiri Takashi c b Al al-Bayt University, Faculty of Sciences, Department of Mathematics P.O. Box 130095, Mafraq 25113, Jordan c 2949-1 Shiokita-cho, Hinagu, Yatsushiro-shi, Kumamoto-ken, 869-5142 Japan 1 4 2025 20 1 1 11 21 03 2020 14 01 2022 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.
1839 General An Advanced Numerical Approach To Solve Viscous Flow Via Modified Generalized Laguerre Functions Hajimohammadi Zeinab d Parand Kourosh e Pakniyat Aida f d Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran e Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran f Department of Computer Sciences, Faculty of Mathematical Sciences, Shahid Beheshti University, Tehran, Iran 1 4 2025 20 1 13 41 27 03 2020 13 06 2024 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. 1911 General Mappings Preserving Sum of Products ab + b ◦ a^∗ on Factor Von Neumann Algebras Ferreira João Carlos da Motta g Marietto Maria das Graças Bruno h g Center for Mathematics, Computation and Cognition, Federal University of ABC, Santa Adélia Street 166, 09210-170, Santo André, Brazil h Center for Mathematics, Computation and Cognition, Federal University of ABC, Santa Adélia Street 166, 09210-170, Santo André, Brazil 1 4 2025 20 1 43 51 23 06 2020 03 04 2021 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.   1772 General Image Enhancement and Restoration Approach Based on Anisotropic Diffusion Gatcha Messaouda i Messelmi Farid j Saadi Slami k i Faculty of Exact Sciences and Computers, Applied Automation and Industrial Diagnosis Laboratory, Ziane Achour University, Djelfa, Algeria j Faculty of Exact Sciences and Computers, Development in Mechanics and Materials Laboratory, Ziane Achour University, Djelfa, Algeria k Faculty of Exact Sciences and Computers, Applied Automation and Industrial Diagnosis Laboratory, Ziane Achour University, Djelfa, Algeria 1 4 2025 20 1 53 67 07 12 2019 10 03 2025 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.   1832 Special The General (α, β)-metrics with Quadratic Curvatures Gabrani Mehran l Rezaei Bahman m Sevim Esra Sengelen n l Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran m Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran n Department of Mathematics, Istanbul Bilgi University, 34060, Eski Silahtaraga Elektrik Santrali, Kazim Karabekir Cad. No: 2/13 Eyupsultan, Istanbul, Turkey 1 4 2025 20 1 69 78 10 03 2020 14 01 2022 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. 1841 General Fuzzy Sumudu Transform for System of Fuzzy Differential Equations with Fuzzy Constant Coeffcients Abdul Rahman N. A. o Ahmad M. Z. p o School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia p Institute of Engineering Mathematics, Universiti Malaysia Perlis, Pauh Putra Main Campus, 02600 Arau, Perlis, Malaysia 1 4 2025 20 1 79 100 02 04 2020 26 08 2022 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. 1847 General On Graded Semi $J_{gr}$-2-absorbing and Graded Weakly Semi $J_{gr}$-2-absorbing Submodules Alghueiri Shatha Al-Zoubi Khaldoun Department of Mathematics and Statistics Jordan University of Science and Technology P.O.Box 3030, Irbid 22110, Jordan Department of Mathematics and Statistics Jordan University of Science and Technology P.O.Box 3030, Irbid 22110, Jordan 1 4 2025 20 1 101 110 07 04 2020 22 02 2022 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.   1851 General $zeta_varsigma$-$R_0$ and $zeta_varsigma$-$R_1$ Strong Generalized Topological Spaces Viriyapong Nongluk Boonpok Chawalit Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand Mathematics and Applied Mathematics Research Unit, Department of Mathematics, Faculty of Science, Mahasarakham University, Maha Sarakham, 44150, Thailand 1 4 2025 20 1 111 123 10 04 2020 10 01 2022 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. 1865 General On the Independence Graph of Hamming Graph Saravanan M. Kathiresan KM. Lecturer in Mathematics, Department of Basic Engineering, Government Polytechnic College, Regunathapuram, Papanasam, Thanjavur, India Centre for Graph Theory, Ayya Nadar Janaki Ammal College, Sivakasi, India 1 4 2025 20 1 125 130 29 04 2020 26 08 2022 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. 1876 General Existence Problem for Impulsive Nonlinear Sturm-Liouville Problems on the Whole Line Allahverdiev Bilender P. Tuna Hüseyin Department of Mathematics, Khazar University, AZ1096 Baku, Azerbaijan Department of Mathematics, Burdur Mehmet Akif Ersoy University, 15030 Burdur, Turkey 1 4 2025 20 1 131 149 11 05 2020 14 02 2022 The existence problem is studied for the impulsive nonlinear Sturm–Liouville equation on the whole line. Existence and uniqueness results are obtained.   1878 General Some Characterizations of Γ−semihypergroups by Soft Generalized Γ-hyperideals Khan Sabahat Ali Abbasi Mohammad Yahya Hila Kostaq Raza Ahmad Department of Mathematics, Jamia Millia Islamia, New Delhi-110 025, India Department of Mathematics, Jamia Millia Islamia, New Delhi-110 025, India Department of Mathematical Engineering, Polytechnic University of Tirana, Albania Department of Mathematics, Jamia Millia Islamia, New Delhi-110 025, India 1 4 2025 20 1 151 174 12 05 2020 06 05 2021 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.   1886 General Some Hermite-Hadamard Type Inequalities for Convex Functions Defined on Convex Bodies Via Gauss-Ostrogradsky Identity Dragomir Silvestru Sever Applied Mathematics Research Group, ISILC, Victoria University, PO Box 14428Melbourne City, MC 8001, Australia 1 4 2025 20 1 175 191 27 05 2020 05 03 2022 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. 1926 General A Fuzzy Multivariate Regression Model to Control Outliers and Multicollinearity Based on Exact Predictors and Fuzzy Responses Hesamian Gholamreza Akbari Mohamad Ghasem Shams Mehdi Department of Statistics, Payame Noor University, Tehran 19395-3697, Iran Department of Statistics, Ferdowsi University of Mashhad, Mashhad, Iran Department of Statistics, University of Kashan, Kashan, Iran 1 4 2025 20 1 193 204 16 07 2020 08 10 2023 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.   1919 Special New Concepts of Generalized Convexity in Multiobjective Subset Programming Antczak Tadeusz Ahmad Izhar Faculty of Mathematics and Computer Science, University of Łódź, Banacha 22, 90-238 Łódź, Poland Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia 1 4 2025 20 1 205 229 07 07 2020 28 06 2021 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. 1936 General On the Terminal Distance Matrix of Graphs Heydari Abbas Department of Science, Arak University of Technology, Arak, Iran 1 4 2025 20 1 231 241 30 07 2020 20 01 2021 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.   2883 General ABSTRACTS IN PERSIAN Vol. 20, No. 1 in this Volume The Name of Authors 1 4 2025 20 1 243 258 23 11 2025 23 11 2025 Please see the full text contains the Persian abstracts of this volume.