Science and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701Topological Residuated Lattices18319410488ENN.KouhestaniFuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.R. A.BorzooeiDepartment of Mathematics, Shahid Beheshti University, Tehran, Iran.Journal Article20170608In this paper, we study the separtion axioms $T_0,T_1,T_2$ and $T_{5/2}$ on topological and semitopological residuated lattices and we show that they are equivalent on topological residuated lattices. Then we prove that for every infinite cardinal number $\alpha$, there exists at least one nontrivial Hausdorff topological residuated lattice of cardinality $\alpha$. In the follows, we obtain some conditions on (semi) topological residuated lattices under which this spaces will convert into regular and normal spaces. Finally by using of regularity and normality, we convert (semi)topological residuated lattices into metrizable topological residuated lattices.https://ijim.srbiau.ac.ir/article_10488_6d9aade43a42c089384289ec3c2d92e3.pdfScience and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities19520210639ENE.KhakrahDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.A. R.RazaniDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.M.OveisihaDepartment of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.Journal Article20170711In this paper, the concept of pseudoconvexity and quasiconvexity for continuous~-time functions are studied and an equivalence condition for pseudoconvexity is obtained. Moreover, under pseudoconvexity assumptions, some relationships between Minty and Stampacchia vector variational inequalities and continuous-time programming problems are presented. Finally, some characterizations of the solution sets of a single-valued continuous-time programming problem are obtained.https://ijim.srbiau.ac.ir/article_10639_44f9beaec798257245c8a1d6aa2c7bc2.pdfScience and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability20321310640ENE.AhmadyDepartment of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.N.AhmadyDepartment of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.Journal Article20170711In this paper a numerical method for solving second order fuzzy differential equations under generalized differentiability is proposed. This method is based on the interpolating a solution by piecewise polynomial of degree 4 in the range of solution. Moreover we investigate the existence, uniqueness and convergence of approximate solutions. Finally the accuracy of piecewise approximate method by some examples are shown.https://ijim.srbiau.ac.ir/article_10640_0281208321bd2e3ef935ddf1236c0a83.pdfScience and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method21522410832ENM.NorouziDepartment of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.H.Saberi NajafiDepartment of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.Journal Article20170831In this paper an coupled Burgers' equation is considered and then a method entitled interval finite-difference method is introduced to find the approximate interval solution of interval model in level wise cases. Finally for more illustration, the convergence theorem is confirmed and a numerical example is solved.https://ijim.srbiau.ac.ir/article_10832_7e939cdaaf14b7f8e0328b9335cb3637.pdfScience and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701Planarity of Intersection Graph of submodules of a Module22522910841ENP.MalakootiDepartment of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.Journal Article20170904Let $R$ be a commutative ring with identity and $M$ be an unitary $R$-module. The intersection graph of an $R$-module $M$, denoted by $\Gamma(M)$, is a simple graph whose vertices are all non-trivial submodules of $M$ and two distinct vertices $N_1$ and $N_2$ are adjacent if and only if $N_1\cap N_2\neq 0$. In this article, we investigate the concept of a planar intersection graph and maximal submodules of an $R$-module. In particular, we show that if $\Gamma(M)$ is a planar graph, then $M\cong M_1\oplus M_2$ for a multiplication $R$-module $M$ with $|Max(M)|\neq 1$.https://ijim.srbiau.ac.ir/article_10841_5d3013412a1ace7d3bd78d3142c3ba35.pdfScience and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701A New Iterative Method For Solving Fuzzy Integral Equations23123910842ENR.EzzatiDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.S.ZiariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.S. M.SadatrasoulDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.Journal Article20170905In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are valid.https://ijim.srbiau.ac.ir/article_10842_0035bb039883adf65c8d6cdaf1f1ca14.pdfScience and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
Tel:+98(44)32352053, +98(914)3897371.
Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219320170701Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application24125010851ENAyed E.HashooshDepartment of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.M.AlimohammadyDepartment of Mathematics, University of Mazandran, Babolsar, Iran.Journal Article20170905This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variational-hemivariational inequality. The solutions of this inequality are discussed in a subset $K$ of a reflexive Banach space $X$. Firstly, we prove the existence of solutions in the case of bounded closed and convex subsets. Secondly, we also prove the case when $K$ is compact convex subsets. Finally, we enhance the main results by the application of some differential inclusions.https://ijim.srbiau.ac.ir/article_10851_fe3926625e3ea9506ca6cea6a788d939.pdf