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Open Access Article
1 - On weakly eR-open functions
M. Ozkoc B. S. AyhanThe main goal of this paper is to introduce and study a new class of function via the notions of $e$-$\theta$-open sets and $e$-$\theta$-closure operator which are defined by Ozkoc and Aslım [10] called weakly $eR$-open functions and $e$-$\theta$-open functions. Moreove MoreThe main goal of this paper is to introduce and study a new class of function via the notions of $e$-$\theta$-open sets and $e$-$\theta$-closure operator which are defined by Ozkoc and Aslım [10] called weakly $eR$-open functions and $e$-$\theta$-open functions. Moreover, we investigate not only some of their basic properties but also their relationships with other types of already existing topological functions. Manuscript profile -
Open Access Article
2 - The directional hybrid measure of efficiency in data envelopment analysis
A. Mirsalehy M. Rizam Abu Baker L. S. Lee Gh. R. JahanshahlooThe efficiency measurement is a subject of great interest. The majority of studies on DEA models have been carried out using radial or non-radial approaches regarding the application of DEA for the efficiency measurement. This paper, based on the directional distance fu MoreThe efficiency measurement is a subject of great interest. The majority of studies on DEA models have been carried out using radial or non-radial approaches regarding the application of DEA for the efficiency measurement. This paper, based on the directional distance function, proposes a new generalized hybrid measure of efficiency under generalized returns to scale with the existence of both radial and non-radial inputs and outputs. It extends the hybrid measure of efficiency from Tone (2004) to a more general case. The proposed model is not only flexible enough for the decision-maker to adjust the radial and non-radial inputs and outputs to attain the efficiency score but also avoids the computational and interpretive difficulties, thereby giving rise to an important clarification and understanding of the generalized DEA model. Furthermore, several frequently-used DEA models (such as the CCR, BCC, ERM and SBM models) which depend on the radial or non-radial approaches are derived while their results were compared to the ones obtained from this hybrid model. The empirical examples emphasize the consequence of the proposed measure. Manuscript profile -
Open Access Article
3 - Fuzzy soft ideals of near-subraction semigroups
V. Chinnadurai S. KadalarasiOur aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples MoreOur aim in this paper is to introduce the notion of fuzzy soft near-subtraction semigroupsand fuzzy soft ideals of near-subtraction semigroups. We discuss some important properties of these new fuzzy algebraic structure and investigate some examples and counter examples. Manuscript profile -
Open Access Article
4 - Solving systems of nonlinear equations using decomposition technique
M. Nili Ahmadabadi F. Ahmad G. Yuan X. LiA systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of co MoreA systematic way is presented for the construction of multi-step iterative method with frozen Jacobian. The inclusion of an auxiliary function is discussed. The presented analysis shows that how to incorporate auxiliary function in a way that we can keep the order of convergence and computational cost of Newton multi-step method. The auxiliary function provides us the way to overcome the singularity and ill-conditioning of the Jacobian. The order of convergence of proposed p-step iterative method is p + 1. Only one Jacobian inversion in the form of LU-factorization is required for a single iteration of the iterative method and in this way, it offers an efficient scheme. For the construction of our proposed iterative method, we used a decomposition technique that naturally provides different iterative schemes. We also computed the computational convergence order that confirms the claimed theoretical order of convergence. The developed iterative scheme is applied to large scale problems, and numerical results show that our iterative scheme is promising. Manuscript profile -
Open Access Article
5 - Some topological operators via grills
A. A. Nasef A. AzzamIn this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterizationand basic properties of these operators are obtained. Also, we generalize a grill topological spacesvia topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$.In this paper, we define and study two operators $\Phi^s$ and $\Psi^s$ with grill. Characterizationand basic properties of these operators are obtained. Also, we generalize a grill topological spacesvia topology $\tau^s$ induced from operators $\Phi^s$ and $\Psi^s$. Manuscript profile -
Open Access Article
6 - Error estimation for nonlinear pseudoparabolic equations with nonlocal boundary conditions in reproducing kernel space
B. Zamanifar T. LotfiIn this paper we discuss about nonlinear pseudoparabolic equations with nonlocalboundary conditions and their results. An effective error estimation for this method altough has not yet beendiscussed. The aim of this paper is to fill this gap.In this paper we discuss about nonlinear pseudoparabolic equations with nonlocalboundary conditions and their results. An effective error estimation for this method altough has not yet beendiscussed. The aim of this paper is to fill this gap. Manuscript profile -
Open Access Article
7 - m-Projections involving Minkowski inverse and range symmetric property in Minkowski space
M. Saleem Lone D. KrishnaswamyIn this paper we study the impact of Minkowski metric matrix on a projection in theMinkowski Space M along with their basic algebraic and geometric properties.The relationbetween the m-projections and the Minkowski inverse of a matrix A in the minkowski space Mis derive MoreIn this paper we study the impact of Minkowski metric matrix on a projection in theMinkowski Space M along with their basic algebraic and geometric properties.The relationbetween the m-projections and the Minkowski inverse of a matrix A in the minkowski space Mis derived. In the remaining portion commutativity of Minkowski inverse in Minkowski SpaceM is analyzed in terms of m-projections as an analogous development and extension of theresults on EP matrices. Manuscript profile
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