Topological Residuated Lattices
N.
Kouhestani
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.
author
R. A.
Borzooei
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
author
text
article
2017
eng
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.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
183
194
http://ijim.srbiau.ac.ir/article_10488_6d9aade43a42c089384289ec3c2d92e3.pdf
Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
E.
Khakrah
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
author
A. R.
Razani
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
author
M.
Oveisiha
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
author
text
article
2017
eng
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.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
195
202
http://ijim.srbiau.ac.ir/article_10639_44f9beaec798257245c8a1d6aa2c7bc2.pdf
A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
E.
Ahmady
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
author
N.
Ahmady
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
author
text
article
2017
eng
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.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
203
213
http://ijim.srbiau.ac.ir/article_10640_0281208321bd2e3ef935ddf1236c0a83.pdf
The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method
M.
Norouzi
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
author
H.
Saberi Najafi
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
author
text
article
2017
eng
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.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
215
224
http://ijim.srbiau.ac.ir/article_10832_7e939cdaaf14b7f8e0328b9335cb3637.pdf
Planarity of Intersection Graph of submodules of a Module
P.
Malakooti
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
author
text
article
2017
eng
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 $N_1\cap N_2\neq 0$. 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 $|Max(M)|\neq 1$.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
225
229
http://ijim.srbiau.ac.ir/article_10841_5d3013412a1ace7d3bd78d3142c3ba35.pdf
A New Iterative Method For Solving Fuzzy Integral Equations
R.
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
S.
Ziari
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
S. M.
Sadatrasoul
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
author
text
article
2017
eng
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.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
231
239
http://ijim.srbiau.ac.ir/article_10842_0035bb039883adf65c8d6cdaf1f1ca14.pdf
Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
Ayed E.
Hashoosh
Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.
author
M.
Alimohammady
Department of Mathematics, University of Mazandran, Babolsar, Iran.
author
text
article
2017
eng
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.
International Journal of Industrial Mathematics
Science and Research Branch, Islamic Azad University, Tehran, Iran
2008-5621
9
v.
3
no.
2017
241
250
http://ijim.srbiau.ac.ir/article_10851_fe3926625e3ea9506ca6cea6a788d939.pdf