Iranian Journal of Mathematical Sciences and Informatics
Year:2025 | Volume:20 | Issue:1|Papers Count:15

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.

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.

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.

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.

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.

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.

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.

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.

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.

The existence problem is studied for the impulsive nonlinear Sturm–Liouville equation on the whole line. Existence and uniqueness results are obtained.

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.

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.

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.

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.

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.