Topological Residuated Lattices
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
N. Kouhestani,R. A. Borzooei
Fuzzy Systems Research Center, University of Sistan and Baluchestan, Zahedan, Iran.,Department of Mathematics, Shahid Beheshti University, Tehran, Iran.
183
Topological residuated lattice,Filter,Regular space,Normal space,(locally) Compact space.
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10488_6d9aade43a42c089384289ec3c2d92e3.html
Pseudoconvex Multiobjective Continuous-time Problems and Vector Variational Inequalities
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
E. Khakrah,A. R. Razani,M. Oveisiha
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.
195
Multiobjective continuous-time problem,Generalized vector variational inequality,Efficiency,Generalized convexity.
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10639_44f9beaec798257245c8a1d6aa2c7bc2.html
A Piecewise Approximate Method for Solving Second Order Fuzzy Differential Equations Under Generalized Differentiability
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
E. Ahmady,N. Ahmady
Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran.,Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran.
203
Generalized differentiability,Numerical Solution,Fuzzy Differential Equations
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10640_0281208321bd2e3ef935ddf1236c0a83.html
The Solution of Coupled Nonlinear Burgers' Equations Using Interval Finite-difference Method
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
M. Norouzi,H. Saberi Najafi
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.
215
Interval methods,Finite difference methods,Coupled burgers' equation
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10832_01a5d20bfedaa72a2d88b5aa90b00bf2.html
Planarity of Intersection Graph of submodules of a Module
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
P. Malakooti
Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran.
225
Interval methods,Multiplication modules,Planar Graph,Module Theory,Torsion Graphs
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10841_5d3013412a1ace7d3bd78d3142c3ba35.html
A New Iterative Method For Solving Fuzzy Integral Equations
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
R. Ezzati,S. Ziari,S. M. Sadatrasoul
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.
231
Fuzzy Fredholm Integral Equation,Modulus of continuity,Partial modulus of continuity,fuzzy Bernstein polynomials
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10842_0035bb039883adf65c8d6cdaf1f1ca14.html
Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application
Science and Research Branch, Islamic Azad University, Tehran, Iran
International Journal of Industrial Mathematics
2008-5621
2008-563X
2017
07
9
3
No
2017-07-01
Ayed E. Hashoosh,M. Alimohammady
Department of Mathematics, University of Thi-Qar, Nasiriyah, Iraq.,Department of Mathematics, University of Mazandran, Babolsar, Iran.
241
Set-valued operator,Clarke's generalized gradian,Generalized monotonicity,Variational-hemivariational inequality,Differential inclusion.
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_1731.html
http://ijim.srbiau.ac.ir/pdf_10851_fe3926625e3ea9506ca6cea6a788d939.html