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- I. A. Hassanien, A. A. Salama, H. A. Hosham
- Applied Mathematics and Computation
- 2005

In this paper, we present fourth-order finite difference method for solving nonlinear one-dimensional Burgers equation. This method is unconditionally stable. The convergence analysis of the present method is studied and an upper bound for the error is derived. Numerical comparisons are made with most of the existing numerical methods for solving this… (More)

- A. A. Salama
- Applied Mathematics and Computation
- 2006

In this article, we develop extended one-step methods for solving the dynamic system of optimal control problems governed by ordinary differential equations. The control variables are approximated by polynomial functions. The proposed problem is reduced to either a constrained or unconstrained minimization problem according to the nature of the dynamic… (More)

Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. The fundamental concepts of neutrosophic set, introduced by Smarandache in [7, 8]. Recently, Salama et al. in [14, 15, 16, 32 ], introduced the concept of correlation coefficient of neutrosophic data. In this paper, we introduce and study the concepts… (More)

- M. E. ABD EL - MONSEF, Arafa A. Nasef, A. A. Salama

Recently in 1997, Sarker in [8] introduced the concept of fuzzy ideal and fuzzy local function between fuzzy topological spaces. In the present paper, we introduce some new fuzzy notions via fuzzy ideals. Also, we generalize the notion of L-open sets due to Jankovic and Homlett [6]. In addition to, we generalize the concept of L-closed sets, L-continuity… (More)

- A. A. Salama, Florentin Smarandache, S. A. Alblowi
- 2015

In this paper, we introduce the concept of ""neutrosophic crisp neighborhoods system for the neutrosophic crisp point ". Added to, we introduce and study the concept of neutrosophic crisp local function, and construct a new type of neutrosophic crisp topological space via neutrosophic crisp ideals. Possible application to GIS topology rules are touched upon.

- A. A. Salama
- 2012

In this paper we introduce the notion of intuitionistic fuzzy ideals which is considered as a generalization of fuzzy ideals studies in [1, 2, 3, 11 ], the important intuitionistic fuzzy ideal has been given. The concept of intuitionistic fuzzy local function is also introduced here by utilizing the neighborhood structure for an intuitionistic fuzzy… (More)

- Florentin Smarandache, Mumtaz Ali, +9 authors Alina Tenescu
- 2015

In this paper we introduce for the first time a new type of structures, called (T, I, F)-Neutrosophic Structures, presented from a neutrosophic logic perspective, and we show particular cases of such structures in geometry and in algebra. In any field of knowledge, each structure is composed from two parts: a space, and a set of axioms (or laws) acting… (More)

In this paper, we propose a method to calculate the correlation coefficient of generalized intuitionistic fuzzy sets by means of "centroid". The value which obtained from this method tell us the strength of relationship between the generalized intuitionistic fuzzy sets [11] and the whether the generalized intuitionistic fuzzy sets are positively or… (More)

In this paper, we present a review of different recommender system algorithms that are utilized in social networks based e-Learning systems. Future research will include our proposed our e-Learning system that utilizes Recommender System and Social Network. Since the world is full of indeterminacy, the neutrosophics found their place into contemporary… (More)