ORIGINAL_ARTICLE
Topological Residuated Lattices
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
2017-07-01T11:23:20
2018-09-19T11:23:20
183
194
Topological residuated lattice
Filter
Regular space
Normal space
(locally) Compact space.
N.
Kouhestani
true
1
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.
AUTHOR
R. A.
Borzooei
borzooei@sbu.ac.ir
true
2
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
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
2017-07-01T11:23:20
2018-09-19T11:23:20
195
202
Multiobjective continuous-time problem
Generalized vector variational inequality
efficiency
Generalized convexity.
E.
Khakrah
true
1
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.
AUTHOR
A. R.
Razani
razani@sci.ikiu.ac.ir
true
2
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.
LEAD_AUTHOR
M.
Oveisiha
true
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.
AUTHOR
ORIGINAL_ARTICLE
A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
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
2017-07-01T11:23:20
2018-09-19T11:23:20
203
213
Generalized differentiability
Numerical Solution
Fuzzy Differential Equations
E.
Ahmady
elhamahmady81@yahoo.com
true
1
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.
LEAD_AUTHOR
N.
Ahmady
true
2
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
AUTHOR
ORIGINAL_ARTICLE
The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method
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
2017-07-01T11:23:20
2018-09-19T11:23:20
215
224
Interval methods
Finite difference methods
Coupled burgers' equation
M.
Norouzi
true
1
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.
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
AUTHOR
H.
Saberi Najafi
hnajafi@guilan.ac.ir
true
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.
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Planarity of Intersection Graph of submodules of a Module
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 $|Max(M)|\neq 1$.
http://ijim.srbiau.ac.ir/article_10841_5d3013412a1ace7d3bd78d3142c3ba35.pdf
2017-07-01T11:23:20
2018-09-19T11:23:20
225
229
Interval methods
Multiplication modules
Planar Graph
Module Theory
Torsion Graphs
P.
Malakooti
pmalakoti@gmail.com
true
1
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
LEAD_AUTHOR
ORIGINAL_ARTICLE
A New Iterative Method For Solving Fuzzy Integral Equations
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
2017-07-01T11:23:20
2018-09-19T11:23:20
231
239
Fuzzy Fredholm Integral Equation
Modulus of continuity
Partial modulus of continuity
fuzzy Bernstein polynomials
R.
Ezzati
ezati@ kiau.ac.ir
true
1
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.
LEAD_AUTHOR
S.
Ziari
true
2
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.
AUTHOR
S. M.
Sadatrasoul
true
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.
AUTHOR
ORIGINAL_ARTICLE
Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
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
2017-07-01T11:23:20
2018-09-19T11:23:20
241
250
Set-valued operator
Clarke's generalized gradian
Generalized monotonicity
Variational-hemivariational inequality
Differential inclusion.
Ayed E.
Hashoosh
ayed197991@yahoo.com
true
1
Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.
Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.
Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.
LEAD_AUTHOR
M.
Alimohammady
true
2
Department of Mathematics, University of Mazandran, Babolsar, Iran.
Department of Mathematics, University of Mazandran, Babolsar, Iran.
Department of Mathematics, University of Mazandran, Babolsar, Iran.
AUTHOR