A. A. Salama

Port Said University
  • The Algebraic Creativity in The Neutrosophic Square Matrices‏
    Mohammad Abobala, Ahmed Hatip, A. A. Salama, Necati Olgun, Broumi Said, and Huda E. Khaled
    Neutrosophic Sets and Systems 40 1-11. 2021.
    The objective of this paper is to study algebraic properties of neutrosophic matrices, where a necessary and sufficient condition for the invertibility of a square neutrosophic matrix is presented by defining the neutrosophic determinant. On the other hand, this work introduces the concept of neutrosophic Eigen values and vectors with an easy algorithm to compute them. Also, this article finds a necessary and sufficient condition for the diagonalization of a neutrosophic matrix.
  • Neutrosophic Knowledge
    A. A. Salama, Florentin Smarandache, and Ibrahim Yasser
    New Mexico University. 2020.
    All rights reserved. The authors of the articles do hereby grant Neutrosophic Knowledge non-exclusive, worldwide, royalty-free license to publish and distribute the articles in accordance with the Budapest Open Initiative: this means that electronic copying, distribution and printing of both full-size version of the journal and the individual papers published therein for non-commercial, academic or individual use can be made by any user without permission or charge. The authors of the articles p…Read more
  • Neutrosophic Crisp Set Theory
    Neutrosophic Sets and Systems 5 27-35. 2014.
    The purpose of this paper is to introduce new types of neutrosophic crisp sets with three types 1, 2, 3. After given the fundamental definitions and operations, we obtain several properties, and discussed the relationship between neutrosophic crisp sets and others. Also, we introduce and study the neutrosophic crisp point and neutrosophic crisp relations. Possible applications to database are touched upon.
  • Neutrosophic Crisp Set & Relations
    A. A. Salama and Hewayda El-Ghawal
    Neutrosophic Sets and Systems 6 12-17. 2014.
  • Neutrosophic Closed Set and Neutrosophic Continuous Functions
    A. A. Salama, Florentin Smarandache, and Valeri Kroumov
    Neutrosophic Sets and Systems 4 4-8. 2014.
    In this paper, we introduce and study the concept of" neutrosophic closed set" and" neutrosophic continuous function". Possible application to GIS topology rules are touched upon.
  • Neutrosophic crisp probability theory & decision making process
    A. A. Salama
    In Surapati Pramanik Florentin Smarandache (ed.), New Trends in Neutrosophic Theory and Applications, Pons Editions. pp. 291-301. 2016.
    Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. In neutrosophic set, indeterminacy is quantified explicitly and truth-membership, indeterminacy-membership and falsity-membership are independent. So it is natural to adopt for that purpose the value from the selected set with highest degree of truth-membership, indeterminacy membership and least degree of falsity-membership on the decision set. These factors indicate that a decision making …Read more
  • Neutrosophic Crisp Mathematical Morphology
    EmanM El-Nakeeb, Hewayda ElGhawalby, A. A. Salama, and S. A. El-Hafeez
    Neutrosophic Sets and Systems 16 57-69. 2017.
  • Review of Recommender Systems Algorithms Utilized in Social Networks based e-Learning Systems & Neutrosophic Systems (review)
    A. A. Salama, Mohamed Eisa, S. A. El-Hafeez, and M. M. Lotfy
    Neutrosophic Sets and Systems 8 32-41. 2015.
  • Neutrosophic Crisp α-Topological Spaces
    A. A. Salama, I. M. Hanafy, Hewayda Elghawalby, and M. S. Dabash
    Neutrosophic Sets and Systems 12 92-96. 2016.
  • Neutrosophic Approach to Grayscale Images Domain
    A. A. Salama, Florentin Smarandache, and Hewayda ElGhawalby
    Neutrosophic Sets and Systems 21 13-19. 2018.
    In this paper, we propose a new technique for the enhancing images. It will work on removing the noise contained in the image as well as improving its contrast based on three different enhancing transforms, we commence by embedding the image into a neutrosophic domain; where the image will be mapped in three different levels, a level of trueness, a level of falseness and a level of indeterminacy. Hence, we act separately on each level using the enhancement transforms. Finally, we introduce a new…Read more