2017-09-25T00:12:05Z
http://ijim.srbiau.ac.ir/?_action=export&rf=summon&issue=1851
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
Topological Residuated Lattices
N.
Kouhestani
R. A.
Borzooei
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.
Topological residuated lattice
Filter
Regular space
Normal space
(locally) Compact space.
2017
07
01
183
194
http://ijim.srbiau.ac.ir/pdf_10488_6d9aade43a42c089384289ec3c2d92e3.html
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
E.
Khakrah
A. R.
Razani
M.
Oveisiha
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.
Multiobjective continuous-time problem
Generalized vector variational inequality
Efficiency
Generalized convexity.
2017
07
01
195
202
http://ijim.srbiau.ac.ir/pdf_10639_44f9beaec798257245c8a1d6aa2c7bc2.html
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
E.
Ahmady
N.
Ahmady
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.
Generalized differentiability
Numerical Solution
Fuzzy Differential Equations
2017
07
01
203
213
http://ijim.srbiau.ac.ir/pdf_10640_0281208321bd2e3ef935ddf1236c0a83.html
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method
M.
Norouzi
H.
Saberi Najafi
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.
Interval methods
Finite difference methods
Coupled burgers' equation
2017
07
01
215
224
http://ijim.srbiau.ac.ir/pdf_10832_01a5d20bfedaa72a2d88b5aa90b00bf2.html
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
Planarity of Intersection Graph of submodules of a Module
P.
Malakooti
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 $|Max(M)|neq 1$.
Interval methods
Multiplication modules
Planar Graph
Module Theory
Torsion Graphs
2017
07
01
225
229
http://ijim.srbiau.ac.ir/pdf_10841_5d3013412a1ace7d3bd78d3142c3ba35.html
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
A New Iterative Method For Solving Fuzzy Integral Equations
R.
Ezzati
S.
Ziari
S. M.
Sadatrasoul
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.
Fuzzy Fredholm Integral Equation
Modulus of continuity
Partial modulus of continuity
fuzzy Bernstein polynomials
2017
07
01
231
239
http://ijim.srbiau.ac.ir/pdf_10842_0035bb039883adf65c8d6cdaf1f1ca14.html
International Journal of Industrial Mathematics
2008-5621
2008-5621
2017
9
3
Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
Ayed E.
Hashoosh
M.
Alimohammady
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.
Set-valued operator
Clarke's generalized gradian
Generalized monotonicity
Variational-hemivariational inequality
Differential inclusion.
2017
07
01
241
250
http://ijim.srbiau.ac.ir/pdf_10851_fe3926625e3ea9506ca6cea6a788d939.html