2017
9
3
0
0
Topological Residuated Lattices
2
2
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.
1

183
194


N.
Kouhestani
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.
Fuzzy Systems Research Center, University
Iran


R. A.
Borzooei
Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
Department of Mathematics, Shahid Beheshti
Iran
borzooei@sbu.ac.ir
Topological residuated lattice
Filter
Regular space
Normal space
(locally) Compact space.
Pseudoconvex Multiobjective Continuoustime Problems and Vector Variational Inequalities
2
2
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 continuoustime programming problems are presented. Finally, some characterizations of the solution sets of a singlevalued continuoustime programming problem are obtained.
1

195
202


E.
Khakrah
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Department of Mathematics, Faculty of Science
Iran


A. R.
Razani
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Department of Mathematics, Faculty of Science
Iran
razani@sci.ikiu.ac.ir


M.
Oveisiha
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Department of Mathematics, Faculty of Science
Iran
Multiobjective continuoustime problem
Generalized vector variational inequality
Efficiency
Generalized convexity.
A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
2
2
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.
1

203
213


E.
Ahmady
Department of Mathematics, ShahreQods Branch, Islamic Azad University, Tehran, Iran.
Department of Mathematics, ShahreQods Branch,
Iran
elhamahmady81@yahoo.com


N.
Ahmady
Department of Mathematics, VaraminPishva Branch, Islamic Azad University, Varamin, Iran.
Department of Mathematics, VaraminPishva
Iran
Generalized differentiability
Numerical Solution
Fuzzy Differential Equations
The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finitedifference Method
2
2
In this paper an coupled Burgers' equation is considered and then a method entitled interval finitedifference 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.
1

215
224


M.
Norouzi
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
Department of Applied Mathematics, School
Iran


H.
Saberi Najafi
Department of Applied Mathematics, School of Mathematical Sciences, University of Guilan, Rasht, Iran.
Department of Applied Mathematics, School
Iran
hnajafi@guilan.ac.ir
Interval methods
Finite difference methods
Coupled burgers' equation
Planarity of Intersection Graph of submodules of a Module
2
2
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 nontrivial 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 $Max(M)neq 1$.
1

225
229


P.
Malakooti
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
Department of Mathematics, Islamic Azad University
Iran
pmalakoti@gmail.com
Interval methods
Multiplication modules
Planar Graph
Module Theory
Torsion Graphs
A New Iterative Method For Solving Fuzzy Integral Equations
2
2
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.
1

231
239


R.
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj Branch,
Iran
ezati@ kiau.ac.ir


S.
Ziari
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj Branch,
Iran


S. M.
Sadatrasoul
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
Department of Mathematics, Karaj Branch,
Iran
Fuzzy Fredholm Integral Equation
Modulus of continuity
Partial modulus of continuity
fuzzy Bernstein polynomials
Existence and Uniqueness Results for a Nonstandard VariationalHemivariational Inequalities with Application
2
2
This paper aims at establishing the existence and uniqueness of solutions for a nonstandard variationalhemivariational 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.
1

241
250


Ayed E.
Hashoosh
Department of Mathematics, University of ThiQar, Nasiriyah, Iraq.
Department of Mathematics, University of
Iran
ayed197991@yahoo.com


M.
Alimohammady
Department of Mathematics, University of Mazandran, Babolsar, Iran.
Department of Mathematics, University of
Iran
Setvalued operator
Clarke's generalized gradian
Generalized monotonicity
Variationalhemivariational inequality
Differential inclusion.