Journal of Linear and Topological Algebra
Year:2015 | Volume:4 | Issue:3|Papers Count:7

Data envelopment analysis (DEA) is a method to evaluate the relative efficiency of decision making units (DMUs). In this method, the issue has always been to determine a set of weights for each DMU which often caused many problems. Since the DEA models also have the multi-objective linear programming (MOLP) problems nature, a rational relationship can be established between MOLP and DEA problems to overcome the problem of determining weights. In this study, a membership function was defined base on the results of CCR model and cross efficiency, and by using this membership function in a proposed model, we obtained a common set of weights for all DMUs. Finally, by solving a sample problem, the proposed algorithm was explained.

This paper introduces a numerical method for solving the vasicek model by using a stochastic operational matrix based on the triangular functions (TFs) in combination with the collocation method. The method is stated by using conversion the the vasicek model to a stochastic nonlinear system of 2m+2 equations and 2 m+2 unknowns. Finally, the error analysis and some numerical examples are provided to demonstrate applicability and accuracy of this method.

Let X be a Banach space of dim X>2 and B (X) be the space of bounded linear operators on X. If L: B (X)®B (X) be a Lie higher derivation on B (X), then there exists an additive higher derivationD and a linear map :t B (X)®F I vanishing at commutators [A, B] for all A, B  Î B (X) such that L=D+t.

The principal aim of this paper is to serve the numerical solution of an integral-algebraic equation (IAE) by using the Bernoulli polynomials and the residual correction method. After implementation of our scheme, the main problem would be transformed into a system of algebraic equations such that its solutions are the unknown Bernoulli coefficients.This method gives an analytic solution when the exact solutions are polynomials. Also, an error analysis based on the use of the Bernoulli polynomials is provided under several mild conditions. Several examples are included to illustrate the efficiency and accuracy of the proposed technique and also the results are compared with the different methods.

The annihilating-ideal graph of a commutative ring R is denoted by AG (R), whose vertices are all nonzero ideals of R with nonzero annihilators and two distinct vertices I and Jare adjacent if and only if IJ=0. In this article, we completely characterize rings R when gr (AG (R)) ¹3.

In this work, we conduct a comparative study among the combine Laplace trans-form and modified Adomian decomposition method (LMADM) and two traditional methods for an analytic and approximate treatment of special type of nonlinear Volterra integro-differential equations of the second kind. The nonlinear part of integro-differential is approx-imated by Adomian polynomials, and the equation is reduced to a simple equations. The proper implementation of combine Laplace transform and modified Adomian decomposition method can extremely minimize the size of work if compared to existing traditional tech-niques. Moreover, three particular examples are discussed to show the reliability and the performance of method.

In this work, we introduce notion of connectedness on fuzzy soft topological spaces and present fundamentals properties. We also investigate effect to fuzzy soft connectedness.Moreover, Ci-connectedness which plays an important role in fuzzy topological space extend to fuzzy soft topological spaces.