@article{ 
author = {Rossafi, M. and Kabbaj, S.},  
title = {Generalized Frames for B(H, K)}, 
abstract ={Frames play significant role in various areas of science and engineering. Motivated by the work of Chander Shekhar, S. K. Kaushik and Abas Askarizadeh, Mohammad Ali Dehghan, we introduce the concepts of $K$-frames for $B(mathcal{H, K})$ and  we establish some result. Also, we consider the relationships between $K$-Frames and $K$-Operator Frames for $B(mathcal{H})$.},  
Keywords = {Frame, K-operator frame, C^*-algebra, Hilbert C^*-modules.},
volume = {17},
Number = {1}, 
pages = {1-9}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.1},
url = {http://ijmsi.ir/article-1-1315-en.html},  
eprint = {http://ijmsi.ir/article-1-1315-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Akkus, I. and Kilic, E. and Omur, N.},  
title = {Diophantine Equations Related with Linear Binary Recurrences}, 
abstract ={In this paper we find all solutions of four kinds of the Diophantine equations begin{equation*} ~x^{2}pm V_{t}xy-y^{2}pm x=0text{ and}~x^{2}pm V_{t}xy-y^{2}pm y=0, end{equation*}% for an odd number $t$, and, begin{equation*} ~x^{2}pm V_{t}xy+y^{2}-x=0text{ and}text{ }x^{2}pm V_{t}xy+y^{2}-y=0, end{equation*}% for an even number $t$, where $V_{n}$ is a generalized Lucas number. This paper continues and extends a previous work of Bahramian and Daghigh.},  
Keywords = {Linear recurrences, Generalized Fibonacci and Lucas sequences, Diophantine equations, Continued fractions.},
volume = {17},
Number = {1}, 
pages = {11-26}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.11},
url = {http://ijmsi.ir/article-1-1319-en.html},  
eprint = {http://ijmsi.ir/article-1-1319-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Abkar, A. and Norouzian, M.},  
title = {Coincidence Quasi-Best Proximity Points for Quasi-Cyclic-Noncyclic Mappings in Convex Metric Spaces}, 
abstract ={We introduce the notion of quasi-cyclic-noncyclic pair and its relevant new notion of coincidence quasi-best proximity points in a convex metric space. In this way we generalize the notion of coincidence-best proximity point already introduced by M. Gabeleh et al cite{Gabeleh}. It turns out that under some circumstances this new class of mappings contains the class of cyclic-noncyclic mappings as a subclass. The existence and convergence of coincidence-best and coincidence quasi-best proximity points in the setting of convex metric spaces are investigated.},  
Keywords = {Coincidence-best proximity point, Cyclic-noncyclic contraction, Quasi-cyclic-noncyclic contraction, Uniformly convex metric space.},
volume = {17},
Number = {1}, 
pages = {27-46}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.27},
url = {http://ijmsi.ir/article-1-1333-en.html},  
eprint = {http://ijmsi.ir/article-1-1333-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Mondal, T.},  
title = {Distributive Lattices of λ-simple Semirings}, 
abstract ={In this paper, we study the decomposition of semirings with a semilattice additive reduct. For, we introduce the notion of principal left $k$-radicals $Lambda(a)={x in S | a stackrel{l}{longrightarrow^{infty}} x}$ induced by the transitive closure $stackrel{l}{longrightarrow^{infty}}$ of the relation $stackrel{l}{longrightarrow}$ which induce the equivalence relation $lambda$. Again non-transitivity of $stackrel{l}{longrightarrow}$ yields an expanding family {$stackrel{l}{longrightarrow^n}}$ of binary relations which associate subsets $Lambda_n(a)$ for all $a in S$, which again induces an equivalence relation $lambda_n$. We also define $lambda(lambda_n)$-simple semirings, and characterize the semirings which are distributive lattices of $lambda(lambda_n)$-simple semirings.},  
Keywords = {Principal left k-radical, Distributive lattice congruence, Completely semiprime k-ideal, λ-simple semiring, Distributive lattice decomposition},
volume = {17},
Number = {1}, 
pages = {47-55}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.47},
url = {http://ijmsi.ir/article-1-1320-en.html},  
eprint = {http://ijmsi.ir/article-1-1320-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Erden, S.},  
title = {Some Perturbed Inequalities of Ostrowski Type for Functions whose n-th Derivatives Are Bounded}, 
abstract ={We firstly establish an identity for $n$ time differentiable mappings Then, a new inequality for $n$ times differentiable functions is deduced. Finally, some perturbed Ostrowski type inequalities for functions whose $n$th derivatives are of bounded variation are obtained.},  
Keywords = {Function of bounded variation, Perturbed Ostrowski type inequalities.},
volume = {17},
Number = {1}, 
pages = {57-70}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.57},
url = {http://ijmsi.ir/article-1-1332-en.html},  
eprint = {http://ijmsi.ir/article-1-1332-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Golpar-Raboky, E. and Babolian, E.},  
title = {On the WZ Factorization of the Real and Integer Matrices}, 
abstract ={The textit{QIF}  (Quadrant Interlocking Factorization) method of Evans and Hatzopoulos solves linear equation systems using textit{WZ}  factorization. The  WZ factorization can be faster than the textit{LU} factorization  because,  it performs the simultaneous evaluation of two columns or two rows. Here, we present a  method for computing the real and integer textit{WZ} and  textit{ZW} factorizations by using the null space generators of some special nested submatrices of a matrix textit{A}.},  
Keywords = {Linear systems, Quadrant interlocking factorization, WZ factorization, ZW factorization, Null space generator.},
volume = {17},
Number = {1}, 
pages = {71-83}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.71},
url = {http://ijmsi.ir/article-1-1358-en.html},  
eprint = {http://ijmsi.ir/article-1-1358-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Shah, S. O. and Zada, A.},  
title = {Hyers-Ulam Stability of Non-Linear Volterra Integro-Delay Dynamic System with Fractional Integrable Impulses on
Time Scales}, 
abstract ={This manuscript presents Hyers-Ulam stability and Hyers--Ulam--Rassias stability results of non-linear Volterra integro--delay dynamic system on time scales with fractional integrable impulses. Picard fixed point theorem  is used for obtaining  existence and uniqueness of solutions. By means of   abstract Gr"{o}nwall lemma, Gr"{o}nwall's inequality on time scales, we establish  Hyers-Ulam stability and Hyers-Ulam-Rassias stability results. There are some primary lemmas, inequalities and relevant assumptions that helps in our stability results.},  
Keywords = {Hyers-Ulam stability, Time scale, Impulses, Delay dynamic system, Gr"{o}nwall's inequality, Abstract Gr"{o}nwall lemma, Banach fixed point theorem.},
volume = {17},
Number = {1}, 
pages = {85-97}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.85},
url = {http://ijmsi.ir/article-1-1335-en.html},  
eprint = {http://ijmsi.ir/article-1-1335-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Osipov, A.},  
title = {A Functional Characterization of the Hurewicz Property}, 
abstract ={For a Tychonoff space $X$, we denote by $C_p(X)$ the space of all real-valued continuous functions on $X$ with the topology of pointwise convergence.  We study a functional characterization of the covering property of Hurewicz.},  
Keywords = {$U_{fin}(mathcal{O},Omega)$, Hurewicz property, Selection principles, $C_p$ theory, $U_{fin}(mathcal{O}, Gamma)$.},
volume = {17},
Number = {1}, 
pages = {99-109}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.99},
url = {http://ijmsi.ir/article-1-1337-en.html},  
eprint = {http://ijmsi.ir/article-1-1337-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Bidkham, M. and KhojastehnezadZHAD, E.},  
title = {On Bernstein Type Inequalities for Complex Polynomial}, 
abstract ={In this paper, we establish some Bernstein type inequalities for the complex polynomial. Our results constitute generalizations and refinements of some well-known polynomial inequalities.},  
Keywords = {Inequality, Polynomial, Derivative, Maximum modulus, Restricted zeros.},
volume = {17},
Number = {1}, 
pages = {111-123}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.111},
url = {http://ijmsi.ir/article-1-1389-en.html},  
eprint = {http://ijmsi.ir/article-1-1389-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Daskalov, R.},  
title = {New Large (n, r)-arcs in PG(2, q)}, 
abstract ={An $(n, r)$-arc is a set of $n$ points of a projective plane such that some $r$, but no $r+1$ of them, are collinear. The maximum size of an $(n, r)$-arc in  $PG(2, q)$ is denoted by $m_r(2,q)$.  In this paper we present  a new $(184,12)$-arc in PG$(2,17),$  a new $(244,14)$-arc and a new $(267,15$)-arc in $PG(2,19).$},  
Keywords = {Finite projective plane, $(n,r)$-arc in a projective plane,  $(l,t)$-blocking set in a projective plane, Maximum size of an $(n,r)$-arc, Linear codes.},
volume = {17},
Number = {1}, 
pages = {125-133}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.125},
url = {http://ijmsi.ir/article-1-1360-en.html},  
eprint = {http://ijmsi.ir/article-1-1360-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Hamoud, A. and Ghadle, K.},  
title = {Some New Uniqueness Results of Solutions for Fractional Volterra-Fredholm Integro-Differential Equations}, 
abstract ={This paper establishes a study on some important latest innovations in the uniqueness of solution for Caputo fractional Volterra-Fredholm integro-differential equations. To apply this, the study uses Banach contraction  principle and Bihari's inequality.  A wider applicability of these techniques are based on their reliability and reduction in the size of the mathematical work.},  
Keywords = {Caputo fractional derivative, Volterra-Fredholm integro-differential equation, Banach contraction principle, Bihari’s inequality.},
volume = {17},
Number = {1}, 
pages = {135-144}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.135},
url = {http://ijmsi.ir/article-1-1366-en.html},  
eprint = {http://ijmsi.ir/article-1-1366-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Moosavi, S. A.},  
title = {Groups whose Bipartite Divisor Graph for Character Degrees Has Five Vertices}, 
abstract ={Let $G$ be a finite group and $cd^*(G)$ be the set of nonlinear irreducible character degrees of  $G$. Suppose that $rho(G)$ denotes the set of primes dividing some element of $cd^*(G)$. The bipartite divisor graph for the set of character degrees which is denoted by $B(G)$, is a bipartite graph whose vertices are the disjoint union of $rho(G)$ and $cd^*(G)$, and a vertex $p in rho(G)$ is connected to a vertex $a in cd^*(G)$ if and only if $p|a$. In this paper, we investigate the structure of a group $G$  whose graph $B(G)$ has five vertices. Especially we show that all these groups are solvable.},  
Keywords = {Bipartite divisor graph, Character degree, Solvable group.},
volume = {17},
Number = {1}, 
pages = {145-151}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.145},
url = {http://ijmsi.ir/article-1-1390-en.html},  
eprint = {http://ijmsi.ir/article-1-1390-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Soltankhah, N. and Khademian, N. Kh.},  
title = {On the Volume of µ-way G-trade}, 
abstract ={A  $ mu $-way  $ G $-trade ($ mu geq 2) $  consists of $ mu $ disjoint decompositions of some simple (underlying) graph $ H $ into copies of a graph $ G. $  The   number of copies of the  graph $ G $ in  each of the decompositions is the volume of the $ G $-trade and   denoted by $ s. $ In this paper, we determine all values  $ s $ for which there exists a $  mu $-way   $ K_{1,m} $-trade of  volume $ s $  for underlying graph  $ H=K_{2m,2m} $ and $ H=K_{2m} $.},  
Keywords = {Trade, $ G $-trade, $ mu $-way  $  G  $-trade ,Trade spectrum.},
volume = {17},
Number = {1}, 
pages = {153-163}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.153},
url = {http://ijmsi.ir/article-1-1740-en.html},  
eprint = {http://ijmsi.ir/article-1-1740-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Senoussi, B. and Bekkar, M.},  
title = {Translation Surfaces of the Third Fundamental Form in Lorentz-Minkowski Space}, 
abstract ={In this paper we study translation surfaces with the non-degenerate third fundamental form in Lorentz- Minkowski space $mathbb{L}^{3}$. As a result, we classify translation surfaces satisfying an equation in terms of the position vector field and the Laplace operator with respect to the third fundamental form $III$ on the surface.},  
Keywords = {Surfaces of coordinate finite type, Translation surfaces, Laplace operator.},
volume = {17},
Number = {1}, 
pages = {165-176}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.165},
url = {http://ijmsi.ir/article-1-1400-en.html},  
eprint = {http://ijmsi.ir/article-1-1400-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Ahmadi, M. and Moghaderi, J.},  
title = {n-submodules}, 
abstract ={Let $R$ be a commutative ring with identity. A proper submodule $N$ of an $R$-module $M$ is an n-submodule if $rmin N~(rin R, min M)$ with $rnotinsqrt{Ann_R(M)}$, then $min N$. A number of results concerning n-submodules are given. For example, we give other characterizations of n-submodules. Also various properties of n-submodules are considered.},  
Keywords = {n-ideal, n-submodule.},
volume = {17},
Number = {1}, 
pages = {177-190}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.177},
url = {http://ijmsi.ir/article-1-1393-en.html},  
eprint = {http://ijmsi.ir/article-1-1393-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Baglan, I. and Kanca, F. and Mishra, V.},  
title = {Solution of Inverse Euler-Bernoulli Problem with Integral Overdetermination and Periodic Boundary Conditions}, 
abstract ={In this work, we tried to find the inverse coefficient in the Euler problem with over determination conditions. It showed the existence, stability of the solution by iteration method and linearization method was used for this problem in numerical part. Also two examples are presented with figures.},  
Keywords = {Inverse Coefficient Problem, Periodic boundary condition, Euler Bernoulli equation, Fourier method.},
volume = {17},
Number = {1}, 
pages = {191-206}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.191},
url = {http://ijmsi.ir/article-1-1401-en.html},  
eprint = {http://ijmsi.ir/article-1-1401-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Altinkaya, Ş.},  
title = {Bi-concave Functions Defined by Al-Oboudi Differential Operator}, 
abstract ={The purpose of the present paper is to introduce a class $D_{Sigma ;delta }^{n}C_{0}(alpha )$ of bi-concave functions defined by Al-Oboudi differential operator. We find estimates on the Taylor-Maclaurin coefficients $leftvert a_{2}rightvert $ and $leftvert a_{3}rightvert$ for functions in this class. Several consequences of these results are also pointed out in the form of corollaries.},  
Keywords = {Bi-concave functions, Al-Oboudi differential operator, Coefficient estimates.},
volume = {17},
Number = {1}, 
pages = {207-217}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.207},
url = {http://ijmsi.ir/article-1-1408-en.html},  
eprint = {http://ijmsi.ir/article-1-1408-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Sawano, Y. and Tabatabaie, S. M.},  
title = {Spaceability on Morrey Spaces}, 
abstract ={In this paper, as a main result for Morrey spaces, we prove that the set $mathcal M_q^p(mathbb R^n)backslashbigcup_{q<rleq p}mathcal M_r^p(mathbb R^n)$ is spaceable in $mathcal M_q^p(mathbb R^n)$, where $0<q<p<infty$.}},  
Keywords = {Spaceability‎, ‎Morrey spaces‎, ‎Banach spaces.},
volume = {17},
Number = {1}, 
pages = {219-225}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.219},
url = {http://ijmsi.ir/article-1-1399-en.html},  
eprint = {http://ijmsi.ir/article-1-1399-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Crasmareanu, M.},  
title = {Quaternionic Product of Circles and Cycles and Octonionic Product for Pairs of Circles}, 
abstract ={This paper concerns with a product of circles induced by the quaternionic product considered in a projective manner. Several properties of this composition law are derived and on this way we arrive at some special numbers as roots or powers of unit. We extend this product to cycles as oriented circles and to pairs of circles by using the algebra of octonions. Three applications of the given products are proposed.},  
Keywords = {Circle, Quaternion, Product, Octonion, Projective Geometry.},
volume = {17},
Number = {1}, 
pages = {227-237}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.227},
url = {http://ijmsi.ir/article-1-1418-en.html},  
eprint = {http://ijmsi.ir/article-1-1418-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Singh, I. and Kumar, Sh.},  
title = {Modified Wavelet Method for Solving Two-dimensional Coupled System of Evolution Equations}, 
abstract ={As two-dimensional coupled system of nonlinear partial differential equations does not give enough smooth solutions, when approximated by linear, quadratic and cubic polynomials and gives poor convergence or no convergence. In such cases, approximation by zero degree polynomials like Haar wavelets (continuous functions with finite jumps) are most suitable and reliable. Therefore, modified numerical method based on Taylor series expansion and Haar wavelets is presented for solving coupled system of nonlinear partial differential equations. Efficiency and accuracy of the proposed method is depicted by comparing with classical methods.},  
Keywords = {Haar wavelet, Taylor series, Collocation points, Nonlinear coupled evolution equations, Operational matrices.},
volume = {17},
Number = {1}, 
pages = {239-259}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.1.239},
url = {http://ijmsi.ir/article-1-1413-en.html},  
eprint = {http://ijmsi.ir/article-1-1413-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Kaushal, S. and Parmar, K. and Priya,},  
title = {Wave Propagation in Generalized Thermodiffusion Elastic Medium with Impedence Boundary Condition}, 
abstract ={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.},  
Keywords = {Thermodiffusion, Amplitude Ratios, Plane waves, Impedence boundary.},
volume = {17},
Number = {2}, 
pages = {1-17}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.1},
url = {http://ijmsi.ir/article-1-1385-en.html},  
eprint = {http://ijmsi.ir/article-1-1385-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Sharifi, M. and Ahmadi, M. B.},  
title = {Optimizing the Distribution of Dairy Products by Heuristic Algorithms and Geographic Information System: A Case Study of FARS PEGAH DAIRY COMPANY}, 
abstract ={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.},  
Keywords = {Ant colony algorithm, Geographic information system, Vehicle routing problem.},
volume = {17},
Number = {2}, 
pages = {19-44}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.19},
url = {http://ijmsi.ir/article-1-1185-en.html},  
eprint = {http://ijmsi.ir/article-1-1185-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Moosaei, M. and Rezaei, Gh. R. and Jamalzadeh, J.},  
title = {Homomorphisms on Topological Groups from the Perspective of Bourbaki-boundedness}, 
abstract ={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.},  
Keywords = {Topological group, Bounded set, Bourbaki-bounded set, Bourbaki-bounded homomorphism, Continuous homomorphism, Compact homomorphism,  Bourbaki-completeness.},
volume = {17},
Number = {2}, 
pages = {45-58}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.45},
url = {http://ijmsi.ir/article-1-1318-en.html},  
eprint = {http://ijmsi.ir/article-1-1318-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Ansari, A. U. and Sharma, B. K. and Kumar, Sh. D. and Behara, S.},  
title = {Graded Prime Ideals Attached to a Group Graded Module}, 
abstract ={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.},  
Keywords = {$G$-graded module, $G$-associated prime ideal, $G$-attached prime ideal, Weak $G$-attached prime ideal.},
volume = {17},
Number = {2}, 
pages = {59-74}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.59},
url = {http://ijmsi.ir/article-1-1415-en.html},  
eprint = {http://ijmsi.ir/article-1-1415-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Bagheri, S. M. and Fadai, F.},  
title = {Linear Formulas in Continuous Logic}, 
abstract ={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.},  
Keywords = {Continuous logic, Ultramean, Linear formula, $Sigma_n$-formula, Positive formula.},
volume = {17},
Number = {2}, 
pages = {75-86}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.75},
url = {http://ijmsi.ir/article-1-1420-en.html},  
eprint = {http://ijmsi.ir/article-1-1420-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Xi, G.},  
title = {On a New Reverse Hilbert\'s Type Inequality}, 
abstract ={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.},  
Keywords = {Hilbert's type inequality, Weight coefficien, H"{o}lder inequality, Riemann-$zeta$ function, Reverse.},
volume = {17},
Number = {2}, 
pages = {87-95}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.87},
url = {http://ijmsi.ir/article-1-1421-en.html},  
eprint = {http://ijmsi.ir/article-1-1421-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Soleimani, R.},  
title = {A Note on Absolute Central Automorphisms of Finite $p$-Groups}, 
abstract ={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.},  
Keywords = {Absolute centre, Absolute central automorphisms, Finite $p$-groups.},
volume = {17},
Number = {2}, 
pages = {97-108}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.97},
url = {http://ijmsi.ir/article-1-1424-en.html},  
eprint = {http://ijmsi.ir/article-1-1424-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {AliKhan, M. S. and Abdullah, S. and Hila, K.},  
title = {On the Generalization of Interval Valued $left( in ,in vee q_{widetilde{k}}right) $-Fuzzy bi-Ideals in Ordered Semigroups}, 
abstract ={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.},  
Keywords = {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.},
volume = {17},
Number = {2}, 
pages = {109-137}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.109},
url = {http://ijmsi.ir/article-1-1441-en.html},  
eprint = {http://ijmsi.ir/article-1-1441-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Bahlekeh, A.},  
title = {The Auslander-Reiten Conjecture for Group Rings}, 
abstract ={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.},  
Keywords = {Auslander-Reiten conjecture, Group rings, Periodic cohomology.},
volume = {17},
Number = {2}, 
pages = {139-146}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.139},
url = {http://ijmsi.ir/article-1-1428-en.html},  
eprint = {http://ijmsi.ir/article-1-1428-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Behera, A. and Ray, P.},  
title = {On the Properties of Balancing and Lucas-Balancing $p$-Numbers}, 
abstract ={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.},  
Keywords = {Balancing $p$-numbers, Lucas-balancing $p$-numbers, Incomplete balancing $p$-numbers, Incomplete Lucas-balancing $p$-numbers.},
volume = {17},
Number = {2}, 
pages = {147-163}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.147},
url = {http://ijmsi.ir/article-1-1448-en.html},  
eprint = {http://ijmsi.ir/article-1-1448-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Hussein, H.A. and Wanas, A.K.},  
title = {Horadam Polynomials Estimates for $lambda$-Pseudo-Starlike Bi-Univalent Functions}, 
abstract ={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.},  
Keywords = {Bi-univalent functions, Coefficient bounds, Horadam polynomials, $lambda$-Pseudo-starlike functions, Fekete-Szeg"{o} problem, Subordination.},
volume = {17},
Number = {2}, 
pages = {165-170}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.165},
url = {http://ijmsi.ir/article-1-1505-en.html},  
eprint = {http://ijmsi.ir/article-1-1505-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {A.Khan, W. and Haroon, H.},  
title = {Higher Order Degenerate Hermite-Bernoulli Polynomials Arising from $p$-Adic Integrals on $mathbb{Z}_p$}, 
abstract ={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.},  
Keywords = {Multivariate $p$-adic invariant integral on $mathbb{Z}_p$, Degenerate Bernoulli polynomials, Hermite polynomials.},
volume = {17},
Number = {2}, 
pages = {171-189}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.171},
url = {http://ijmsi.ir/article-1-1455-en.html},  
eprint = {http://ijmsi.ir/article-1-1455-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {MohagheghyNezhad, M. and Rahbarnia, F. and Mirzavaziri, M. and Ghanbari, R.},  
title = {Solis Graphs and Uniquely Metric Basis Graphs}, 
abstract ={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.},  
Keywords = {Metric dimension, Resolving set, Metric basis, Uniquely metric basis graphs, Solis graph.},
volume = {17},
Number = {2}, 
pages = {191-212}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.191},
url = {http://ijmsi.ir/article-1-1442-en.html},  
eprint = {http://ijmsi.ir/article-1-1442-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Jaradat, M.},  
title = {The Graded Classical Prime Spectrum with the Zariski Topology as a Notherian Topological Space}, 
abstract ={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.  },  
Keywords = {Graded classical prime submodule, Graded classical prime spectrum,  Zariski topology.},
volume = {17},
Number = {2}, 
pages = {213-233}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.213},
url = {http://ijmsi.ir/article-1-1456-en.html},  
eprint = {http://ijmsi.ir/article-1-1456-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Zarrabi, M. R. and MoghadamCharkari, N.},  
title = {Single-Point Visibility Constraint Minimum Link Paths in Simple Polygons}, 
abstract ={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.},  
Keywords = {Minimum link path, Shortest path map, Point location.},
volume = {17},
Number = {2}, 
pages = {235-241}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.235},
url = {http://ijmsi.ir/article-1-1436-en.html},  
eprint = {http://ijmsi.ir/article-1-1436-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Prakasha, D. G. and Prakash, A. and Nagaraja, M. and Veeresha, P.},  
title = {On $(epsilon)$ - Lorentzian para-Sasakian Manifolds}, 
abstract ={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.},  
Keywords = {$(epsilon)$-Lorentzian para-Sasakian manifold, Einstein manifold, globally $phi$-Ricci symmetric manifold, Weakly $phi$-Ricci symmetric manifold.},
volume = {17},
Number = {2}, 
pages = {243-252}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.243},
url = {http://ijmsi.ir/article-1-1482-en.html},  
eprint = {http://ijmsi.ir/article-1-1482-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Valizadeh, M. and Tadayon, M. H.},  
title = {Logical s-t Min-Cut Problem: An Extension to the Classic s-t Min-Cut Problem}, 
abstract ={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.},  
Keywords = {Logical s-t min-cut, LSTMC, Complexity, Inapproximability, Flow graph, Test case generation.},
volume = {17},
Number = {2}, 
pages = {253-271}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.253},
url = {http://ijmsi.ir/article-1-1481-en.html},  
eprint = {http://ijmsi.ir/article-1-1481-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Banerjee, A.K. and Paul, M.},  
title = {Strong $I^K$-Convergence in Probabilistic Metric Spaces}, 
abstract ={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.},  
Keywords = {Strong $I^K$-convergence, Strong $(Ivee K)^K$-convergence, Strong $I^K$-Cauchy, Strong $I^K$-limit points.},
volume = {17},
Number = {2}, 
pages = {273-288}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.273},
url = {http://ijmsi.ir/article-1-1490-en.html},  
eprint = {http://ijmsi.ir/article-1-1490-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Merdan, M. and Bekiryazici, Z. and Kesemen, T. and Khaniyev, T.},  
title = {Transmission of Cholera Disease with Laplacian and Triangular Parameters}, 
abstract ={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.},  
Keywords = {Random differential equation, Simulation, Cholera, Laplace distribution, Triangular distribution.},
volume = {17},
Number = {2}, 
pages = {289-305}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.289},
url = {http://ijmsi.ir/article-1-1479-en.html},  
eprint = {http://ijmsi.ir/article-1-1479-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}

@article{ 
author = {Mahmood, M. Kh. and Anwar, L.},  
title = {The Iteration Digraphs of Lambert Map Over the Local Ring $mathbb{Z}/p^kmathbb{Z}$ :  Structures and Enumerations}, 
abstract ={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.},  
Keywords = {Fixed points, Lambert map, Multiplicative order.},
volume = {17},
Number = {2}, 
pages = {307-314}, 
publisher = {ACECR at Tarbiat Modares University},

doi = {10.52547/ijmsi.17.2.307},
url = {http://ijmsi.ir/article-1-1499-en.html},  
eprint = {http://ijmsi.ir/article-1-1499-en.pdf},  
journal = {Iranian Journal of Mathematical Sciences and Informatics},  
issn = {1735-4463}, 
eissn = {2008-9473}, 
year = {2022}  
}