@article{ author = {M.Yarahmadi, and S.M.Karbassi,}, title = {Design of robust controller by neuro-fuzzy system in a prescribed region via state feedback}, abstract ={In this paper, first a new algorithm for pole assignment of closed-loop multi-variable controllable systems in a prescribed region of the z-plane is presented. Then, robust state feedback controllers are designed by implementing a neural fuzzy system for the placement of closed-loop poles of a controllable system in a prescribed region in the left-hand side of z-plane. A new method based on the parameterizations of condition number function of a closed-loop system whose poles are varied in a prescribed region by neural fuzzy system is also designed.}, Keywords = {}, volume = {4}, Number = {1}, pages = {1-16}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.001}, url = {http://ijmsi.ir/article-1-66-en.html}, eprint = {http://ijmsi.ir/article-1-66-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {A.Iampan,}, title = {Characterizing Ordered Bi-Ideals in Ordered Γ-Semigroups}, abstract ={The notion of a ;Gamma-semigroup was introduced by Sen [8] in 1981. We can see that any semigroup can be considered as a ;Gamma-semigroup. The aim of this article is to study the concept of (0-)minimal and max- imal ordered bi-ideals in ordered ;Gamma-semigroups, and give some charac- terizations of (0-)minimal and maximal ordered bi-ideals in ordered ;Gamma- semigroups analogous to the characterizations of (0-)minimal and maxi- mal ordered bi-ideals in ordered semigroups considered by Iampan [5].}, Keywords = {}, volume = {4}, Number = {1}, pages = {17-25}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.002}, url = {http://ijmsi.ir/article-1-65-en.html}, eprint = {http://ijmsi.ir/article-1-65-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {N.Eftekhari,}, title = {The Basic Theorem and its Consequences}, abstract ={Let T be a compact Hausdorff topological space and let M denote an n–dimensional subspace of the space C(T ), the space of real–valued continuous functions on T and let the space be equipped with the uniform norm. Zukhovitskii [7] attributes the Basic Theorem to E.Ya.Remez and gives a proof by duality. He also gives a proof due to Shnirel’man, which uses Helly’s Theorem, now the paper obtains a new proof of the Basic Theorem. The significance of the Basic Theorem for us is that it reduces the characterization of a best approximation to f ;epsilon C(T ) from M to the case of finite T , that is to the case of approximation in l^{;omega}(r). If one solves the problem for the finite case of T then one can deduce the solution to the general case. An immediate consequence of the Basic Theorem is that for a finite dimensional subspace M of C_{0}(T ) there exists a separating measure forMand f ;epsilon C_{0}(T )M, the cardinality of whose support is not greater than dim M+1. This result is a special case of a more general abstract result due to Singer [5]. Then the Basic Theorem is used to obtain a general characterization theorem of a best approximation from M to f ;epsilon C(T ). We also use the Basic Theorem to establish the sufficiency of Haar’s condition for a subspace M of C(T ) to be Chebyshev.}, Keywords = {Best Approximation, Separating Measure, Chebyshev set.}, volume = {4}, Number = {1}, pages = {27-35}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.003}, url = {http://ijmsi.ir/article-1-62-en.html}, eprint = {http://ijmsi.ir/article-1-62-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {Kh.Pourbarat, and M.Abbasi,}, title = {On the Vector Variational-like Inequalities with Relaxed η-α Pseudomonotone Mappings}, abstract ={In this paper we introduce some new conditions of the solu- tions existence for variational-like inequalities with relaxed ;eta-;alpha pseu- domonotone mappings in Banach spaces. The advantage of these new conditions is that they are easier to be veried than those that appear in some of the previous corresponding articles.}, Keywords = {}, volume = {4}, Number = {1}, pages = {37-42}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.004}, url = {http://ijmsi.ir/article-1-67-en.html}, eprint = {http://ijmsi.ir/article-1-67-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {R.F.ShamoyanN, and O.R.Mihic,}, title = {SOME REMARKS ON WEAKLY INVERTIBLE FUNCTIONS IN THE UNIT BALL AND POLYDISK}, abstract ={We will present an approach to deal with a problem of existence of (not) weakly invertible functions in various spaces of analytic functions in the unit ball and polydisk based on estimates for integral operators acting between functional classes of different dimensions.}, Keywords = {}, volume = {4}, Number = {1}, pages = {43-54}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.005}, url = {http://ijmsi.ir/article-1-68-en.html}, eprint = {http://ijmsi.ir/article-1-68-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {R.Kumar, and G.Partap,}, title = {Axisymmetric Vibrations in Micropolar Thermoelastic Cubic Crystal Plate Bordered with Layers or Half Spaces of Inviscid liquid}, abstract ={In present study is concerned with the propagation of axisymmetric vibrations in a homogenous isotropic micropolar thermoelastic cubic crystal plate bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions in context of Lord and Shulman (L-S) and Green and Lindsay (G-L) theories of thermoelasticity. The secular equations for symmetric and skew-symmetric leaky and nonleaky Lamb wave modes of propagation are derived. The amplitudes of displacement components, microrotation and temperature distribution are also computed numerically and presented graphically. Finally, in order to illustrate the analytical developments, numerical solution of secular equations corresponding to stress free thermally insulated micropolar thermoelastic cubic crystal plate is carried out for magnesium crystal material bordered with water layers of finite and infinite thickness.}, Keywords = {Micropolar thermoelastic cubic crystal plate, secular equations, Phase velocity, Symmetric and skew-symmetric amplitudes, Attenuation coefficient.}, volume = {4}, Number = {1}, pages = {55-77}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.006}, url = {http://ijmsi.ir/article-1-63-en.html}, eprint = {http://ijmsi.ir/article-1-63-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {M.Golmohamadian, and M.M.Zahedi,}, title = {BCK-ALGEBRAS AND HYPER BCK-ALGEBRAS INDUCED BY A DETERMINISTIC FINITE AUTOMATON}, abstract ={In this note first we define a BCK‐algebra on the states of a deterministic finite automaton. Then we show that it is a BCK‐algebra with condition (S) and also it is a positive implicative BCK‐algebra. Then we find some quotient BCK‐algebras of it. After that we introduce a hyper BCK‐algebra on the set of all equivalence classes of an equivalence relation on the states of a deterministic finite automaton and we prove that this hyper BCKalgebra is simple, strong normal and implicative. Finally we define a semi continuous deterministic finite automaton. Then we introduce a hyper BCK‐algebra S on the states of this automaton and we show that S is a weak normal hyper BCK‐algebra.}, Keywords = {}, volume = {4}, Number = {1}, pages = {79-98}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.01.007}, url = {http://ijmsi.ir/article-1-64-en.html}, eprint = {http://ijmsi.ir/article-1-64-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {Roudabri, T. and Torkzadeh, L.}, title = {A topology on BCK-algebras via left and right stabilizers}, abstract ={In this paper, we use the left(right) stabilizers of a BCKalgebra (X, ;lowast, 0) and produce two basis for two different topologies. Then we show that the generated topological spaces by these basis are Bair, connected, locally connected and separable. Also we study the other properties of these topological spaces.}, Keywords = {BCK-algebra , basis topological, stabilizers, Bair space, connected space, locally connected and separable space.}, volume = {4}, Number = {2}, pages = {1-8}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.001}, url = {http://ijmsi.ir/article-1-91-en.html}, eprint = {http://ijmsi.ir/article-1-91-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {BorumandSaeid, Arsham}, title = {Redefined fuzzy subalgebra (with thresholds) of BCK/BCI-algebras}, abstract ={Using the notion of anti fuzzy points and its besideness to and non-quasi-coincidence with a fuzzy set, new concepts of an anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their inter-relations and related properties are investigated in [3]. The notion of the new fuzzy subalgebra with thresholds are introduced and relationship between this notion and the new fuzzy subalgebra of a BCK/BCI-algebra of [3] are studied.}, Keywords = {besides to, non-quasi coincident with, (α, β)∗-fuzzy subalgebra, fuzzy subalgebra with thresholds, fuzzifying subalgebra, t-implication-based subalgebra.}, volume = {4}, Number = {2}, pages = {9-24}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.002}, url = {http://ijmsi.ir/article-1-98-en.html}, eprint = {http://ijmsi.ir/article-1-98-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {TabatabaieShourijeh, B. and Farjood, M.}, title = {A K-Theoritic Approach to Some C*-Algebras}, abstract ={In this paper we look at the K-theory of a specific C*-algebra closely related to the irrational rotation algebra. Also it is shown that any automorphism of a C*-algebra A induces group automorphisms of K_{1}(A) amd K_{0}(A) in an obvious way. An interesting problem for any C*-algebra A is to find out whether, given an automorphism of K_{0}(A) and an automorphism of K_{1}(A), we can lift them to an automorphism of A or M_{n}(A) for some positive integer n.}, Keywords = {C*-algebra, K-theory, Exact group, Crossed Product, and Representation.}, volume = {4}, Number = {2}, pages = {25-31}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.003}, url = {http://ijmsi.ir/article-1-87-en.html}, eprint = {http://ijmsi.ir/article-1-87-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {Aslani, G. and Momeni-Masuleh, S. H. and Malek, A. and Ghorbani, F.}, title = {Bank efficiency evaluation using a neural network-DEA method}, abstract ={In the present time, evaluating the performance of banks is one of the important subjects for societies and the bank managers who want to expand the scope of their operation. One of the non-parametric approaches for evaluating efficiency is data envelopment analysis(DEA). By a mathematical programming model, DEA provides an estimation of efficiency surfaces. A major problem faced by DEA is that the frontier calculated by DEA may be slightly distorted if the data is affected by statistical noises. In recent years, using the neural networks is a powerful non-parametric approach for modeling the nonlinear relations in a wide variety of decision making applications. The radial basis function neural networks (RBFNN) have proved significantly beneficial in the evaluation and assessment of complex systems. Clustering is a method by which a large set of data is grouped into clusters of smaller sets of similar data. In this paper, we proposed RBFNN with the K-means clustering method for the efficiency evaluation of a large set of branches for an Iranian bank. This approach leads to an appropriate classification of branches. The results are compared with the conventional DEA results. It is shown that, using the hybrid learning method, the weights of the neural network are convergent.}, Keywords = {Data envelopment analysis, Neural networks, Efficiency, Multilayered perceptron, Radial basis function, K-means clustering method.}, volume = {4}, Number = {2}, pages = {33-48}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.004}, url = {http://ijmsi.ir/article-1-89-en.html}, eprint = {http://ijmsi.ir/article-1-89-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {Tripathi, A. M. and Mathur, Nirbhay and Srivastava, Swapnil}, title = {A study of Nilpotent groups through right transversals}, abstract ={In group theory nilpotency of a group has a great importance. In this paper we have studied some concept of nilpotency through right transversals. We have also studied prime power groups and frattini subgroups through right transversals.}, Keywords = {Nilpotent group, Right transversal, Frattini subgroup, C-groupoid.}, volume = {4}, Number = {2}, pages = {49-54}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.005}, url = {http://ijmsi.ir/article-1-86-en.html}, eprint = {http://ijmsi.ir/article-1-86-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {Daghigh, H. and Bahramian, M.}, title = {Generalized Jacobian and Discrete Logarithm Problem on Elliptic Curves}, abstract ={Let E be an elliptic curve over the finite field F_{q}, P a point in E(F_{q}) of order n, and Q a point in the group generated by P. The discrete logarithm problem on E is to find the number k such that Q = kP. In this paper we reduce the discrete logarithm problem on E[n] to the discrete logarithm on the group F*_{q} , the multiplicative group of nonzero elements of Fq, in the case where n | q ;minus 1, using generalized jacobian of E.}, Keywords = {Elliptic Curve, Discrete Logarithm Problem, Generalized Jacobian.}, volume = {4}, Number = {2}, pages = {55-64}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.006}, url = {http://ijmsi.ir/article-1-88-en.html}, eprint = {http://ijmsi.ir/article-1-88-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} } @article{ author = {Djebali, Smail and Kavian, Otared and Moussaoui, Toufik}, title = {Qualitative Properties and Existence of Solutions for a Generalized Fisher-like Equation}, abstract ={This paper is devoted to the study of an eigenvalue second order differential equation, supplied with homogenous Dirichlet conditions and set on the real line. In the linear case, the equation arises in the study of a reaction-diffusion system involved in disease propagation throughout a given population. Under some relations upon the real parameters and coefficients, we present some existence and nonexistence results. We use a variational method and fixed point arguments.}, Keywords = {Linear and sub-linear ODEs, Variational Method, Fixed point Theorems, Compactness Criterion.}, volume = {4}, Number = {2}, pages = {65-81}, publisher = {ACECR at Tarbiat Modares University}, doi = {10.7508/ijmsi.2009.02.007}, url = {http://ijmsi.ir/article-1-90-en.html}, eprint = {http://ijmsi.ir/article-1-90-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, issn = {1735-4463}, eissn = {2008-9473}, year = {2009} }