eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
183
194
10488
مقاله پژوهشی
Topological Residuated Lattices
N. Kouhestani
1
R. A. Borzooei
borzooei@sbu.ac.ir
2
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
In 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.
http://ijim.srbiau.ac.ir/article_10488_6d9aade43a42c089384289ec3c2d92e3.pdf
Topological residuated lattice
Filter
Regular space
Normal space
(locally) Compact space.
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
195
202
10639
مقاله پژوهشی
Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
E. Khakrah
1
A. R. Razani
razani@sci.ikiu.ac.ir
2
M. Oveisiha
3
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
In 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.
http://ijim.srbiau.ac.ir/article_10639_44f9beaec798257245c8a1d6aa2c7bc2.pdf
Multiobjective continuous-time problem
Generalized vector variational inequality
Efficiency
Generalized convexity.
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
203
213
10640
مقاله پژوهشی
A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
E. Ahmady
elhamahmady81@yahoo.com
1
N. Ahmady
2
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
In 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.
http://ijim.srbiau.ac.ir/article_10640_0281208321bd2e3ef935ddf1236c0a83.pdf
Generalized differentiability
Numerical Solution
Fuzzy Differential Equations
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
215
224
10832
مقاله پژوهشی
The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method
M. Norouzi
1
H. Saberi Najafi
hnajafi@guilan.ac.ir
2
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
In 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.
http://ijim.srbiau.ac.ir/article_10832_7e939cdaaf14b7f8e0328b9335cb3637.pdf
Interval methods
Finite difference methods
Coupled burgers' equation
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
225
229
10841
مقاله پژوهشی
Planarity of Intersection Graph of submodules of a Module
P. Malakooti
pmalakoti@gmail.com
1
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Let $R$ 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 $N_1cap N_2neq 0$. 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 $Mcong M_1oplus M_2$ for a multiplication $R$-module $M$ with $|Max(M)|neq 1$.
http://ijim.srbiau.ac.ir/article_10841_5d3013412a1ace7d3bd78d3142c3ba35.pdf
Interval methods
Multiplication modules
Planar Graph
Module Theory
Torsion Graphs
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
231
239
10842
مقاله پژوهشی
A New Iterative Method For Solving Fuzzy Integral Equations
R. Ezzati
ezati@ kiau.ac.ir
1
S. Ziari
2
S. M. Sadatrasoul
3
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
In 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.
http://ijim.srbiau.ac.ir/article_10842_0035bb039883adf65c8d6cdaf1f1ca14.pdf
Fuzzy Fredholm Integral Equation
Modulus of continuity
Partial modulus of continuity
fuzzy Bernstein polynomials
eng
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017-07-01
9
3
241
250
10851
مقاله پژوهشی
Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
Ayed E. Hashoosh
ayed197991@yahoo.com
1
M. Alimohammady
2
Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.
Department of Mathematics, University of Mazandran, Babolsar, Iran.
This 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.
http://ijim.srbiau.ac.ir/article_10851_fe3926625e3ea9506ca6cea6a788d939.pdf
Set-valued operator
Clarke's generalized gradian
Generalized monotonicity
Variational-hemivariational inequality
Differential inclusion.