Journal of New Researches in Mathematics: 1 (12)

Open Access Article

1 - Utility of Ranking Warehouse Candidates in Workshop Locations Using UTAStar
M. Ehsanifar F. Hossein zadeh lotfi

Although the importance of locating in manufacturing and service companies is not a new issue, one of significance applications is to determine the appropriate location for warehouses in manufacturing workshops warehouses to the maintenance of materials or products. In More

Although the importance of locating in manufacturing and service companies is not a new issue, one of significance applications is to determine the appropriate location for warehouses in manufacturing workshops warehouses to the maintenance of materials or products. In any organizations, Finding the suitable site for warehouses establishments to increase customer service and efficiency is one of the most important and costly issues. The warehouse location is the main decision and structurally multi-criteria that includes quantitative and qualitative objectives. In this study, we apply an MADM technique to achieve the primary ranking for the proposed and potential warehouse locations of the company, and then put them as the input of the UTAStar, which is a new and more practical to inference utility functions from past decision data. We will investigate the utility of the results and define the desirability of ranked options for evaluating and selecting of warehouse space. Manuscript profile

Open Access Article

2 - On Generalized Injective Spaces in Generalized Topologies
Hassan Arianpoor

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the conc More

In this paper, we first present a new type of the concept of open sets by expressing some properties of arbitrary mappings on a power set. With the generalization of the closure spaces in categorical topology, we introduce the generalized topological spaces and the concept of generalized continuity and become familiar with weak and strong structures for generalized topological spaces. Then, introducing the concept of the generalized embedding and the generalized injection, we study Császár product of generalized spaces in the category of generalized topological spaces. Using by the tools of category theory, we describe the results of classifying on the generalized injective spaces in which these spaces are characterized as generalized embedding of Császár product with the product topology of two points Sierpinski space. Finally, the generalized dual-injection spaces as the objects of a special subcategory of the generalized topological spaces are studied for which all single-point subsets are closed. Manuscript profile

Open Access Article

3 - The Existance of the Optimum Solution for the System of Differential Equation in Hilbert Space
Z. Soltani

In this paper, we study the existence of the following optimum solution for the system of differential equation ...

In this paper, we study the existence of the following optimum solution for the system of differential equation ... Manuscript profile

Open Access Article

4 - Bankruptcy Assessment with the Interval Programming and Games Theory
A. Batamiz M. Allahdadi

Some of the parameters in issues of the reality world are uncertainty. One of the uncertain problems with the qualitative parameters is economic problems such as bankruptcy problem. In this case, there is a probability of dealing with imprecise concepts including the in More

Some of the parameters in issues of the reality world are uncertainty. One of the uncertain problems with the qualitative parameters is economic problems such as bankruptcy problem. In this case, there is a probability of dealing with imprecise concepts including the intervals regarding the official’s viewpoint, organizations’ managers. Accordingly, this article uses the concepts of data envelopment analysis (DEA) game theory’ applications that it is appeared in all areas of studies, and combining it with uncertainty models like intervals, assess bankruptcy and specify the pessimistic and optimistic interval for bankruptcy assessment that hep us to assess uncertain concepts in economics and in the problems that we have certain, converting to interval programming a, is studied problems simply. Manuscript profile

Open Access Article

5 - A Numerical Approach for Solving of Two-Dimensional Linear Fredholm Integral Equations with Boubaker Polynomial Bases
F. mehdifar A. Khani

In this paper, a new collocation method, which is based on Boubaker polynomials, is introduced for the approximate solutions of a class of two-dimensional linear Fredholm integral equationsof the second kind. The properties of two-dimensional Boubaker functions are pres More

In this paper, a new collocation method, which is based on Boubaker polynomials, is introduced for the approximate solutions of a class of two-dimensional linear Fredholm integral equationsof the second kind. The properties of two-dimensional Boubaker functions are presented. The fundamental matrices of integration with the collocation points are utilized to reduce the solution of the integral equation to the solution of a system of algebraic equations. The precision and error analysis have been carefully and structurally studied and it has been emphasized that the proposed method for a variety of linear two-dimensional linear Fredholm linear integral equations with continuous kernel of polynomial type is completely accurate and error-free. On the other hand, with the help of the Maple Math Software, it is very easy to calculate the Boubaker polynomial coefficients of the solution. Also, we compared the results of present method with the results of other available methods to provide the validity, accuracy and efficiency of the technique. Manuscript profile

Open Access Article

6 - An optimal analytical method for nonlinear boundary value problems based on method of variation of parameter
R. Darzi B. Agheli

In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embed More

In this paper, the authors present a modified convergent analytic algorithm for the solution of nonlinear boundary value problems by means of a variable parameter method and briefly, the method is called optimal variable parameter method. This method, based on the embedding of a parameter and an auxiliary operator, provides a computational advantage for the convergence of the approximate solutions of nonlinear differential equations. The developed convergence has been shown and its details are discussed. Additionally, a convenient method is considered for selecting an optimal value of the auxiliary parameter, via minimizing the residual error over the domain of problem. The effectiveness of the method and the accuracy of the proposed algorithm are illustrated by the implementation of physical problems such as Sturm-Liouville problem, Airy equation, and Quantum mechanical harmonic oscillator problem. The numerical results and obtained demonstrate clearly reflect the accuracy of the method and its convergence. Manuscript profile

Open Access Article

7 - m-polar intuitionistic graphs and its properties
M. Adabitabar firozja S. Firouzian M. Taginejad

In many real world problems, data sometimes comes from n agents (n≥2), multipolar information exists. For issues that are associated with uncertainty, this information can not be showed with the values of crisp, fuzzy, intuitionistic or bipolar. Graph is one of the m More

In many real world problems, data sometimes comes from n agents (n≥2), multipolar information exists. For issues that are associated with uncertainty, this information can not be showed with the values of crisp, fuzzy, intuitionistic or bipolar. Graph is one of the mathematical models widely used in different sciences. Ambiguity in a graph where data depends on the n parameter can not be showed with fuzzy graphs or bipolar graph. With definition of fuzzy n- polar sets this problem was resolved. But all of this information is partly true and partly false. So this information can not be shown as well with n- polar fuzzy graphs. In this article introduces n-polar intuitionistic set and then we define n-polar intuitionistic graph the extension of the n- polar fuzzy graph. Also, some basic concepts such as the cartesian product, composition, union and join in the graph with proving theorems and examples are also provided. Manuscript profile

Open Access Article

8 - The solving linear one-dimemsional Volterra integral equations of the second kind in reproducing kernel space
A. Fazli Sh. Javadi

In this paper, to solve a linear one-dimensional Volterra integral equation of the second kind. For this purpose using the equation form, we have defined a linear transformation and by using it's conjugate and reproducing kernel functions, we obtain a basis for the func More

In this paper, to solve a linear one-dimensional Volterra integral equation of the second kind. For this purpose using the equation form, we have defined a linear transformation and by using it's conjugate and reproducing kernel functions, we obtain a basis for the functions space.Then we obtain the solution of integral equation in terms of the basis functions. The examples presented in this paper show validity of the method. But this method does not provide results for nonlinear one-dimensional Volterra integral equations of the second kind. In this case for calculation Fourier cofficients the new method should be given. Thus the next focus on providing a method for calculating Fourier cofficients in the nonlinear mode. Also we think that this method can be generalized to linear two-dimensional Volterra integral equations of the second kind and we worked on this in the another paper. Manuscript profile

Open Access Article

9 - On minimal degrees of faithful quasi-permutation representations of nilpotent groups
M. Ghaffarzadeh

By a quasi-permutation matrix, we mean a square non-singular matrix over the complex field with non-negative integral trace....

By a quasi-permutation matrix, we mean a square non-singular matrix over the complex field with non-negative integral trace.... Manuscript profile

Open Access Article

10 - Some properties and domination number of the complement of a new graph associated to a commutative ring
J. amjadi

In this paper some properties of the complement of a new graph associated with a commutative ring are investigated ....

In this paper some properties of the complement of a new graph associated with a commutative ring are investigated .... Manuscript profile

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