2026-10-14T04:27:55+03:30 http://ijmsi.ir/browse.php?mag_id=36&slc_lang=en&sid=1

36-1385 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 S. Kaushal sachin_kuk@yahoo.co.in K. Parmar kulmaths@gmail.com Priya In the present investigation, we study the reflection of plane waves, that is, Longitudinal displacement wave(P-Wave), Thermal wave(T-Wave) and Mass Diffusive wave(MD-Wave) in thermodiffusion elastic-half medium which is subjected to impedence boundary condition in context of one relaxatioon time theory given by Lord and Shulman theory (L-S) and the Coupled theory (C-T) of thermoelasticity. The expressions of amplitude ratios are obtained numerically and their variation with angle of incidence is presented graphically for a particular model to emphasize on the impact of impedence parameter, relaxation time and diffusion. Some special cases are also deduced. Thermodiffusion Amplitude Ratios Plane waves Impedence boundary. 2022 9 01 1 17 http://ijmsi.ir/article-1-1385-en.pdf 10.52547/ijmsi.17.2.1

36-1185 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Sharifi meysamsharifi87@yahoo.com M. B. Ahmadi mbahmadi@shirazu.ac.ir The problem of the distribution of dairy products, which is classified as a combinatorial optimization problem, cannot be solved in polynomial time. In this paper, an algorithm based on Ant Colony Hybrid meta-heuristic system and Geographic Information System (GIS) was used to find a near-optimal solution to this problem. Using the former method, the nearest neighbor heuristic algorithm was used to find an initial solution, and then, Campbell insertion algorithm having O($ n^{3} $) complexity was applied in order to find a feasible solution. Furthermore, cross exchange local search algorithm was utilized to reduce the time of finding a near-optimal solution. Using the latter method, with regard to geographic features of the problem, the distribution network was optimized by GIS.   Besides, we attempted to optimize the distribution network of dairy products using multi-objective mathematical model. Ant colony algorithm Geographic information system Vehicle routing problem. 2022 9 01 19 44 http://ijmsi.ir/article-1-1185-en.pdf 10.52547/ijmsi.17.2.19

36-1318 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Moosaei moosaeim1987@yahoo.com Gh. R. Rezaei grezaei@hamoon.usb.ac.ir J. Jamalzadeh Jamalzadeh1980@math.usb.ac.ir In this note we study some topological properties of bounded sets and Bourbaki-bounded sets. Also we introduce two types of Bourbaki-bounded homomorphisms on topological groups  including, n$-$Bourbaki-bounded homomorphisms and$hspace{1mm}$ B$-$Bourbaki-bounded homomorphisms. We compare them to each other and with the class of continuous homomorphisms. So, two topologies are presented on them and we determine some properties on domain and range spaces led to Bourbaki-completeness some of these classes of homomorphisms with the given topologies. At the end of this note we focus on n-compact homomorphisms and B-compact homomorphisms briefly. Topological group Bounded set Bourbaki-bounded set Bourbaki-bounded homomorphism Continuous homomorphism Compact homomorphism Bourbaki-completeness. 2022 9 01 45 58 http://ijmsi.ir/article-1-1318-en.pdf 10.52547/ijmsi.17.2.45

36-1415 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 A. U. Ansari ajimmatau@gmail.com B. K. Sharma brajeshsharma72@gmail.com Sh. D. Kumar sdt@mnnit.ac.in S. Behara srinivasbehara45@gmail.com Let $G$ be a finitely generated abelian group and $M$ be a $G$-graded $A$-module. In general, $G$-associated prime ideals to $M$ may not exist. In this paper, we introduce the concept of $G$-attached prime ideals to $M$ as a generalization of $G$-associated prime ideals which gives a connection between certain $G$-prime ideals and $G$-graded modules over a (not necessarily $G$-graded Noetherian) ring. We prove that the $G$-attached prime ideals exist for every nonzero $G$-graded module and this generalization is proper. We transfer many results of $G$-associated prime ideals to $G$-attached prime ideals and give some applications of it. $G$-graded module $G$-associated prime ideal $G$-attached prime ideal Weak $G$-attached prime ideal. 2022 9 01 59 74 http://ijmsi.ir/article-1-1415-en.pdf 10.52547/ijmsi.17.2.59

36-1420 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 S. M. Bagheri bagheri@modares.ac.ir F. Fadai fadai@modares.ac.ir We prove that continuous sentences preserved by the ultramean construction (a generalization of the ultraproduct construction) are exactly those sentences which are approximated by linear sentences. Continuous sentences preserved by linear elementary equivalence are exactly those sentences which are approximated in the Riesz space generated by linear sentences. Also, characterizations for linear $Delta_n$-sentences and positive linear theories will be given. Continuous logic Ultramean Linear formula $Sigma_n$-formula Positive formula. 2022 9 01 75 86 http://ijmsi.ir/article-1-1420-en.pdf 10.52547/ijmsi.17.2.75

36-1421 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 G. Xi xigaowen@163.com In this paper, by using the Euler-Maclaurin expansion for the Riemann-$zeta$ function, we establish an inequality of a weight coefficient. Using this inequality, we derive a new reverse Hilbert's type inequality. As an applications, an equivalent form is obtained. Hilbert's type inequality Weight coefficien H"{o}lder inequality Riemann-$zeta$ function Reverse. 2022 9 01 87 95 http://ijmsi.ir/article-1-1421-en.pdf 10.52547/ijmsi.17.2.87

36-1424 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 R. Soleimani r_soleimani@pnu.ac.ir Let $G$ be a finite group. The automorphism $sigma$ of a group $G$ is said to be an absolute central automorphism, if for all $xin G$, $x^{-1}x^{sigma}in L(G)$, where $L(G)$ be the absolute centre of $G$. In this paper, we study  some properties of absolute central automorphisms of a given finite $p$-group. Absolute centre Absolute central automorphisms Finite $p$-groups. 2022 9 01 97 108 http://ijmsi.ir/article-1-1424-en.pdf 10.52547/ijmsi.17.2.97

36-1441 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. S. Ali Khan sajjadalimath@yahoo.com S. Abdullah saleemabdullah81@yahoo.com K. Hila kostaq_hila@yahoo.com In this paper, we introduce a new sort of interval valued $left(in ,in vee q_{widetilde{k}}^{widetilde{delta }}right) $-fuzzy bi-ideal in ordered semigroups which is the generalization of interval valued $left( in ,in vee q_{%widetilde{k}}right) $-fuzzy bi-ideal and interval valued $left( in ,in vee qright) $-fuzzy bi-ideal of ordered semigroups. We give examples in which we show that these structures are more general than previous one.  Finally, we characterize ordered semigroup by the property of interval valued $left( in ,in vee q_{% widetilde{k}}^{widetilde{delta }}right) $-implication based fuzzy bi-ideals. Interval valued fuzzy bi-ideal Interval valued $left( in in vee q_{widetilde{k}}^{widetilde{delta }}right) $-fuzzy bi-ideal Implication based interval valued $left( in in vee q_{widetilde{k}}^{widetilde{delta }}right) $-fuzzy bi-ideal. 2022 9 01 109 137 http://ijmsi.ir/article-1-1441-en.pdf 10.52547/ijmsi.17.2.109

36-1428 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 A. Bahlekeh n.bahlekeh@gmail.com This paper studies the vanishing of $Ext$ modules over group rings. Let $R$ be a commutative noetherian ring and $ga$ a group. We provide a criterion under which the vanishing of self extensions of a finitely generated $Rga$-module $M$ forces it to be projective. Using this result, it is shown that $Rga$ satisfies the Auslander-Reiten conjecture, whenever $R$ has finite global dimension and $ga$ is a finite acyclic group. Auslander-Reiten conjecture Group rings Periodic cohomology. 2022 9 01 139 146 http://ijmsi.ir/article-1-1428-en.pdf 10.52547/ijmsi.17.2.139

36-1448 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 A. Behera adikanda.math@gmail.com P. Ray prasantamath@suniv.ac.in The main goal of this paper is to develop a new generalization of balancing and Lucas-balancing sequences namely balancing and Lucas-balancing $p$-numbers and derive several identities related to them. Some combinatorial forms of these numbers are also presented. Balancing $p$-numbers Lucas-balancing $p$-numbers Incomplete balancing $p$-numbers Incomplete Lucas-balancing $p$-numbers. 2022 9 01 147 163 http://ijmsi.ir/article-1-1448-en.pdf 10.52547/ijmsi.17.2.147

36-1505 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 H.A. Hussein alaa.hammadi@qu.edu.iq A.K. Wanas abbas.kareem.w@qu.edu.iq In the present investigation, we use the Horadam Polynomials to establish upper bounds for the second and third coefficients of functions belongs to a new subclass of analytic and $lambda$-pseudo-starlike bi-univalent functions defined in the open unit disk $U$. Also, we discuss Fekete-Szeg$ddot{o}$ problem for functions belongs to this subclass. Bi-univalent functions Coefficient bounds Horadam polynomials $lambda$-Pseudo-starlike functions Fekete-Szeg"{o} problem Subordination. 2022 9 01 165 170 http://ijmsi.ir/article-1-1505-en.pdf 10.52547/ijmsi.17.2.165

36-1455 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 W. A. Khan wkhan1@pmu.edu.sa H. Haroon hibaharoon786@gmail.comwaseem08_khan@rediffmail.com Our principal interest in this paper is to study higher order degenerate Hermite-Bernoulli polynomials arising from multivariate $p$-adic invariant integrals on $mathbb{Z}_p$. We give interesting identities and properties of these polynomials that are derived using the generating functions and $p$-adic integral equations. Several familiar and new results are shown to follow as special cases. Some symmetry identities are also established. Multivariate $p$-adic invariant integral on $mathbb{Z}_p$ Degenerate Bernoulli polynomials Hermite polynomials. 2022 9 01 171 189 http://ijmsi.ir/article-1-1455-en.pdf 10.52547/ijmsi.17.2.171

36-1442 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Mohagheghy Nezhad mostafa.mohaqeqi@mail.um.ac.ir F. Rahbarnia rahbarnia@um.ac.ir M. Mirzavaziri mirzavaziri@um.ac.ir R. Ghanbari rghanbari@um.ac.ir A set $Wsubset V (G)$ is called a resolving set, if for every two distinct vertices $u, v in V (G)$ there exists $win W$ such that $d(u,w) not = d(v,w)$, where $d(x, y)$ is the distance between the vertices $x$ and $y$. A resolving set for $G$ with minimum cardinality is called a metric basis. A graph with a unique metric basis is called a uniquely dimensional graph. In this paper, we establish a family of graph called Solis graph, and we prove that if $G$ is a minimal edge unique base graph with the base of size two, then $G$ belongs to the Solis graphs family. Finally, an algorithm is given for finding the metric dimension of a Solis graph. Metric dimension Resolving set Metric basis Uniquely metric basis graphs Solis graph. 2022 9 01 191 212 http://ijmsi.ir/article-1-1442-en.pdf 10.52547/ijmsi.17.2.191

36-1456 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Jaradat mjaradat@mhs.sabis.net Let G be a group with identity e. Let R be a G-graded commutative ring and let M be a graded R-module. The graded classical prime spectrum Cl.Specg(M) is defined to be the set of all graded classical prime submodule of M. The Zariski topology on Cl.Specg(M); denoted by ϱg. In this paper we establish necessary and sufficient conditions for Cl.Specg(M) with the Zariski topology to be a Noetherian topological space.   Graded classical prime submodule Graded classical prime spectrum Zariski topology. 2022 9 01 213 233 http://ijmsi.ir/article-1-1456-en.pdf 10.52547/ijmsi.17.2.213

36-1436 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. R. Zarrabi mrzarabi@yahoo.com N. Moghadam Charkari charkari@modares.ac.ir We address the following problem: Given a simple polygon $P$ with $n$ vertices and two points $s$ and $t$ inside it, find a minimum link path between them such that a given target point $q$ is visible from at least one point on the path. The method is based on partitioning a portion of $P$ into a number of faces of equal link distance from a source point. This partitioning is essentially a shortest path map (SPM). In this paper, we present an optimal algorithm with $O(n)$ time bound, which is the same as the time complexity of the standard minimum link paths problem. Minimum link path Shortest path map Point location. 2022 9 01 235 241 http://ijmsi.ir/article-1-1436-en.pdf 10.52547/ijmsi.17.2.235

36-1482 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 D. G. Prakasha prakashadg@gmail.com A. Prakash amitmath0185@gmail.com M. Nagaraja nagarajtmvt@gmail.com P. Veeresha viru0913@gmail.com The object of this paper is to study $(epsilon)$-Lorentzian para-Sasakian manifolds. Some typical identities for the curvature tensor and the Ricci tensor of $(epsilon)$-Lorentzian para-Sasakian manifold are investigated. Further, we study globally $phi$-Ricci symmetric and weakly $phi$-Ricci symmetric $(epsilon)$-Lorentzian para-Sasakian manifolds and obtain interesting results. $(epsilon)$-Lorentzian para-Sasakian manifold Einstein manifold globally $phi$-Ricci symmetric manifold Weakly $phi$-Ricci symmetric manifold. 2022 9 01 243 252 http://ijmsi.ir/article-1-1482-en.pdf 10.52547/ijmsi.17.2.243

36-1481 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Valizadeh valizadeh80@gmail.com M. H. Tadayon tadayon@itrc.ac.ir Let $G$ be a weighted digraph, $s$ and $t$ be two vertices of $G$, and $t$ is reachable from $s$. The logical $s$-$t$ min-cut (LSTMC) problem states how $t$ can be made unreachable from $s$ by removal of some edges of $G$ where (a) the sum of weights of the removed edges is minimum and (b) all outgoing edges of any vertex of $G$ cannot be removed together. If we ignore the second constraint, called the logical removal, the LSTMC problem is transformed to the classic $s$-$t$ min-cut problem. The logical removal constraint applies in situations where non-logical removal is either infeasible or undesired. Although the $s$-$t$ min-cut problem is solvable in polynomial time by the max-flow min-cut theorem, this paper shows the LSTMC problem is NP-Hard, even if $G$ is a DAG with an out-degree of two. Moreover, this paper shows that the LSTMC problem cannot be approximated within $alpha log n$ in a DAG with $n$ vertices for some constant $alpha$. The application of the LSTMC problem is also presented intest case generation of a computer program. Logical s-t min-cut LSTMC Complexity Inapproximability Flow graph Test case generation. 2022 9 01 253 271 http://ijmsi.ir/article-1-1481-en.pdf 10.52547/ijmsi.17.2.253

36-1490 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 A.K. Banerjee akbanerjee1971@gmail.com M. Paul mahendrabktpp@gmail.com In this paper we introduce strong $I^K$-convergence of functions which is common generalization of strong $I^*$-convergence of functions in probabilistic metric spaces. We also define and study strong $I^{K}$-limit points of functions in same space. Strong $I^K$-convergence Strong $(Ivee K)^K$-convergence Strong $I^K$-Cauchy Strong $I^K$-limit points. 2022 9 01 273 288 http://ijmsi.ir/article-1-1490-en.pdf 10.52547/ijmsi.17.2.273

36-1479 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Merdan mmerdan@gumushane.edu.tr Z. Bekiryazici zafer.bekiryazici@erdogan.edu.tr T. Kesemen tkesemen@gmail.com T. Khaniyev tahirkhaniyev@etu.edu.tr A mathematical model has been introduced for the transmission dynamics of cholera disease by GQ Sun et al. recently. In this study, we add Laplacian and Triangular random effects to this model and analyze the variation of results for both cases. The expectations  and coefficients of variation are compared for the random models and the results are used to comment on the differences and similarities between the effects of these probability distributions. The randomness of the model itself is also investigated through comparison of the random and deterministic outcomes. Random differential equation Simulation Cholera Laplace distribution Triangular distribution. 2022 9 01 289 305 http://ijmsi.ir/article-1-1479-en.pdf 10.52547/ijmsi.17.2.289

36-1499 2026-10-14 10.1002

Iranian Journal of Mathematical Sciences and Informatics IJMSI 1735-4463 2008-9473 10.66224/ijmsi 2022 17 2 M. Kh. Mahmood khalid.math@pu.edu.pk L. Anwar lubnaanwar30@yahoo.com Let $p$ be prime and $alpha:x mapsto xg^x$, the Discrete Lambert Map. For $kgeq 1,$ let $ V = {0, 1, 2, . . . , p^k-1}$. The iteration digraph is a directed graph with $V$ as the vertex set and there is a unique directed edge from $u$ to $alpha(u)$ for each $uin V.$ We denote this digraph by $G(g, p^{k}),$ where $gin (mathbb{Z}/p^kmathbb{Z})^*.$  In this piece of work, we investigate the structural properties and find new results modulo higher powers of primes.  We show that if $g$ is of order $p^{d} ,1leq d leq k-1$ then $G(g, p^k)$ has $ p^{k-lceil frac{d}{2}rceil} $ loops. If $g = tp+1,~1leq t leq p^{k-1}-1$ then the digraph contains $frac{p^k+1}{2}$ cycles. Further, if g has order $p^{k -1}$ then $G(g, p^{k})$ has $p-1$ cycles of length $p^{k-1}$ and the digraph is cyclic. We also propose explicit formulas for the enumeration of components. Fixed points Lambert map Multiplicative order. 2022 9 01 307 314 http://ijmsi.ir/article-1-1499-en.pdf 10.52547/ijmsi.17.2.307