ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 On Prime and Semiprime Ideals in Ordered AG-Groupoids 1 11 EN P. Yiarayong University Phitsanuloke 65000 pairote0027@hotmail.com DOI: 10.7508/ijmsi.2017.01.001 The aim of this short note is to introduce the concepts of prime and semiprime ideals in ordered AG-groupoids with left identity. These concepts are related to the concepts of quasi-prime and quasi-semiprime ideals, play an important role in studying the structure of ordered AG-groupoids, so it seems to be interesting to study them. Ordered AG-Groupoids, Prime, Semiprime, quasi-prime, quasi-semiprime. http://ijmsi.ir/article-1-546-en.html http://ijmsi.ir/article-1-546-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 Modeling Dynamic Production Systems with Network Structure 13 26 EN F. Koushki Qazvin Branch, Islamic Azad University fkoushki@gmail.com DOI: 10.7508/ijmsi.2017.01.002 This paper deals with the problem of optimizing two-stage structure decision making units (DMUs) where the activity and the performance of two-stage DMU in one period effect on its efficiency in the next period. To evaluate such systems the effect of activities in one period on ones in the next term must be considered. To do so, we propose a dynamic DEA approach to measure the performance of such network units. According to the results of proposed dynamic model the inefficiencies of DMUs improve considerably. Additionally, in models which measure efficiency score, undesirable outputs are mostly treated as inputs, which do not reflect the true production process. We propose an alternative method in dealing with bad outputs. Statistical analysis of sub-efficiencies, i.e. efficiency score of each stage, during all periods represents useful information about the total performance of the stage over all periods. Data envelopment analysis (DEA), Network DEA, Bad outputs, Dynamic DEA, Sub-efficiency. http://ijmsi.ir/article-1-467-en.html http://ijmsi.ir/article-1-467-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 A Note on Twists of (y^2=x^3+1) 27 34 EN F. Izadi Urmia University farzali.izadi@azaruniv.edu A. Shamsi Zargar Shahid Madani University, Tabriz shzargar.arman@azaruniv.edu DOI: 10.7508/ijmsi.2017.01.003 ‎‎In the category of Mordell curves (E_D:y^2=x^3+D) with nontrivial torsion groups we find curves of the generic rank two as quadratic twists of (E_1), ‎and of the generic rank at least two and at least three as cubic twists of (E_1). ‎Previous work‎, ‎in the category of Mordell curves with trivial torsion groups‎, ‎has found infinitely many elliptic curves with rank at least seven as sextic twists of (E_1) cite{Kih}. Elliptic curve‎, ‎Mordell curve‎, ‎(Mordell-Weil) rank‎, ‎Twist. http://ijmsi.ir/article-1-593-en.html http://ijmsi.ir/article-1-593-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 Graph Convergence for H(.,.)-co-Accretive Mapping with over-Relaxed Proximal Point Method for Solving a Generalized Variational Inclusion Problem 35 46 EN M. Rahaman Aligarh Muslim University mrahman96@yahoo.com R. Ahmad Aligarh Muslim University raisain_123@rediffmail.com H. A. Rizvi Aligarh Muslim University haider.alig.abbas@gmail.com DOI: 10.7508/ijmsi.2017.01.004 In this paper, we use the concept of graph convergence of H(.,.)-co-accretive mapping introduced by [R. Ahmad, M. Akram, M. Dilshad, Graph convergence for the H(.,.)-co-accretive mapping with an application, Bull. Malays. Math. Sci. Soc., doi: 10.1007/s40840-014-0103-z, 2014\$] and define an over-relaxed proximal point method to obtain the solution of a generalized variational inclusion problem in Banach spaces. Our results can be viewed as an extension of some previously known results in this direction. Graph convergence, Over-relaxed, Accretive, Variational inclusion, Convergence. http://ijmsi.ir/article-1-669-en.html http://ijmsi.ir/article-1-669-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 Integrating Differential Evolution Algorithm with Modified Hybrid GA for Solving Nonlinear Optimal Control Problems 47 67 EN S. Nezhadhosein Payame Noor University, Tehran s_nezhadhossin@yahoo.com A. Heydari Payame Noor University, Tehran R. Ghanbari Ferdowsi University of Mashhad DOI: 10.7508/ijmsi.2017.01.005 ‎Here‎, ‎we give a two phases algorithm based on integrating differential evolution (DE) algorithm with modified hybrid genetic algorithm (MHGA) for solving the associated nonlinear programming problem of a nonlinear optimal control problem‎. ‎In the first phase‎, ‎DE starts with a completely random initial population where each individual‎, ‎or solution‎, ‎is a random matrix of control input values in time nodes‎. ‎After phase 1‎, ‎to achieve more accurate solutions‎, ‎we increase the number of time nodes‎. ‎The values of the associated new control inputs are estimated by linear or spline interpolations using the curves computed in the phase 1‎. ‎In addition‎, ‎to maintain the diversity in the population‎, ‎some additional individuals are added randomly‎. ‎Next‎, ‎in the second phase‎, ‎MHGA starts by the new population constructed by the above procedure and tries to improve the obtained solutions at the end of phase 1‎. ‎We implement our proposed algorithm on some well-known nonlinear optimal control problems‎. ‎The numerical results show the proposed algorithm can find almost better solution than other proposed algorithms‎. Nonlinear optimal control problem‎, ‎Differential evolution‎, ‎Modified hybrid genetic algorithm‎, ‎Successive quadratic programming‎, ‎Spline interpolation‎. http://ijmsi.ir/article-1-595-en.html http://ijmsi.ir/article-1-595-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 Some Families of Graphs whose Domination Polynomials are Unimodal 69 80 EN S. Alikhani Yazd University alikhani@yazd.ac.ir S. Jahari Yazd University s.jahari@gmail.com DOI: 10.7508/ijmsi.2017.01.006 Let \$G\$ be a simple graph of order \$n\$. The domination polynomial of \$G\$ is the polynomial \$D(G, x)=sum_{i=gamma(G)}^{n} d(G,i) x^{i}\$, where \$d(G,i)\$ is the number of dominating sets of \$G\$ of size \$i\$ and \$gamma(G)\$ is the domination number of \$G\$. In this paper we present some families of graphs whose domination polynomials are unimodal. Domination polynomial, unimodal, family. http://ijmsi.ir/article-1-617-en.html http://ijmsi.ir/article-1-617-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 On Lorentzian two-Symmetric Manifolds of Dimension-fou‎r 81 94 EN A. Zaeim ‎Payame noor University zaeim@pnu.ac.ir M. Chaichi ‎Payame noor University chaichi@pnu.ac.ir Y. Aryanejad ‎Payame noor University y.aryanejad@pnu.ac.ir DOI: 10.7508/ijmsi.2017.01.007 ‎We study curvature properties of four-dimensional Lorentzian manifolds with two-symmetry property‎. ‎We then consider Einstein-like metrics‎, ‎Ricci solitons and homogeneity over these spaces‎‎. Pseudo-Riemannian metric‎, ‎Einstein-like metrics‎, ‎Ricci soliton‎, ‎Homogeneous spac‎e‎. http://ijmsi.ir/article-1-626-en.html http://ijmsi.ir/article-1-626-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 On the Zero-divisor Cayley Graph of a Finite Commutative Ring 95 106 EN A. R. Naghipour Shahrekord University DOI: 10.7508/ijmsi.2017.01.008 Let R be a fnite commutative ring and N(R) be the set of non unit elements of R. The non unit graph of R, denoted by Gamma(R), is the graph obtained by setting all the elements of N(R) to be the vertices and defning distinct vertices x and y to be adjacent if and only if x - yin N(R). In this paper, the basic properties of Gamma(R) are investigated and some characterization results regarding connectedness, girth and planarity of Gamma(R) are given. Connectivity, diameter, girth, planar graph, clique. http://ijmsi.ir/article-1-632-en.html http://ijmsi.ir/article-1-632-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 On Open Packing Number of Graphs 107 117 EN I. Sahul Hamid The Madura College(Autonomous) Madurai S. Saravanakumar The Madura College(Autonomous) Madurai DOI: 10.7508/ijmsi.2017.01.009 In a graph G = (V,E), a subset \$S⊂V\$ is said to be an open packing set if no two vertices of S have a common neighbour in G. The maximum cardinality of an open packing set is called the open packing number and is denoted by \$ρ^{o}\$. This paper further studies on this parameter by obtaining some new bounds. Open packing, Maximum degree, Clique, Split graphs. http://ijmsi.ir/article-1-743-en.html http://ijmsi.ir/article-1-743-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 On Twin--Good Rings 119 129 EN N. Ashrafi Semnan University nashrafi@semnan.ac.ir N. Pouyan Semnan University neda.pouyan@gmail.com DOI: 10.7508/ijmsi.2017.01.010 In this paper, we investigate various kinds of extensions of twin-good rings. Moreover, we prove that every element of an abelian neat ring R is twin-good if and only if R has no factor ring isomorphic to‌ Z2  or Z3. The main result of  states some conditions that any right self-injective ring R is twin-good. We extend this result to any regular Baer ring R by proving that every element of a regular Baer ring is twin-good if and only if R has no factor ring isomorphic to Z2 or Z3. Also we illustrate conditions under which extending modules, continuous modules and some classes of vector space are twin-good. Twin-good ring, Neat ring, Regular Baer ring, π-regular. http://ijmsi.ir/article-1-638-en.html http://ijmsi.ir/article-1-638-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 An Interior Point Algorithm for Solving Convex Quadratic Semidefinite Optimization Problems Using a New Kernel Function 131 152 EN M. R. Peyghami K.N. Toosi Univ. of Tech. peyghami@kntu.ac.ir S. Fathi Hafshejani Shiraz Univ. of Tech. sajadfathi85@gmail.com DOI: 10.7508/ijmsi.2017.01.011 In this paper, we consider convex quadratic semidefinite optimization problems and provide a primal-dual Interior Point Method (IPM) based on a new kernel function with a trigonometric barrier term. Iteration complexity of the algorithm is analyzed using some easy to check and mild conditions. Although our proposed kernel function is neither a Self-Regular (SR) function nor logarithmic barrier function, the primal-dual IPMs based on this kernel function enjoy the worst case iteration bound \$Oleft(sqrt{n}log nlog frac{n}{epsilon}right)\$ for the large-update methods with the special choice of its parameters. This bound coincides to the so far best known complexity results obtained from SR kernel functions for linear and semidefinite optimization problems. Finally some numerical issues regarding the practical performance of the new proposed kernel function is reported. Convex quadratic semidefinite optimization problem, Primal-dual interior-point methods, Kernel function, Iteration complexity. http://ijmsi.ir/article-1-671-en.html http://ijmsi.ir/article-1-671-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 On Graded Weakly Classical Prime Submodules 153 161 EN R. Abu-Dawwas Yarmouk University rrashid@yu.edu.jo Kh. Al-Zoubi Jordan University of Science and Technology kfzoubi@ust.edu.jo DOI: 10.7508/ijmsi.2017.01.012 Let R be a G-graded ring and M be a G-graded R-module. In this article, we introduce the concept of graded weakly classical prime submodules and give some properties of such submodules. Graded prime submodules, Graded weakly classical prime submodules, Graded classical prime submodules . http://ijmsi.ir/article-1-918-en.html http://ijmsi.ir/article-1-918-en.pdf
ACECR at Tarbiat Modares University Iranian Journal of Mathematical Sciences and Informatics 1735-4463 2008-9473 12 1 2017 4 1 ABSTRACTS IN PERSIAN Vol.12, No.1 163 175 EN Name of Authors In This Volume All the author's Affilliations fatemeh.bardestani@gmail.com DOI: 10.7508/ijmsi.2017.01.013 Please see the full text contains the Pesian abstracts for this volume. ABSTRACTS, PERSIAN, Vol. 12, No. 1 http://ijmsi.ir/article-1-1114-en.html http://ijmsi.ir/article-1-1114-en.pdf