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726Neutrosophic Set and Neutrosophic Topological SpacesIOSR Journal of Mathematics (IOSR-JM) 3 (4): 31-35. 2012.Neutrosophy has been introduced by Smarandache [7, 8] as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space [4], and intuitionistic fuzzy topological space [5, 6] to the case of neutrosophic sets. Possible…Read more
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489Insights about Electronic Technology in Digital Transformation Age & Neutrosophic Data StructureNeutrosophic Knowledge 2 (2): 11-22. 2021.In recent decades, Information and Communication Technology (ICT) has been advanced and widely spread around the globe in addition to ICT revolution and technological advances are considered the major role in the evolution of modern age, which is called "Digital Transformation Age". Therefore, Electronic Technology (E-Technology) has become one of the most prominent approaches such as Electronic Learning (E-Learning), Electronic Training (E-Training), Mobile Learning (M-Learning), Virtual Lab (V…Read more
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359The Algebraic Creativity in The Neutrosophic Square MatricesNeutrosophic 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.
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347The static model of inventory management without a deficit with Neutrosophic logicInternational Journal of Neutrosophic Science 16 (1): 42-48. 2021.In this paper, we present an expansion of one of the well-known classical inventory management models, which is the static model of inventory management without a deficit and for a single substance, based on the neutrosophic logic, where we provide through this study a basis for dealing with all data, whether specific or undefined in the field of inventory management, as it provides safe environment to manage inventory without running into deficit , and give us an approximate ideal volume o…Read more
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260Intelligent Neurtosophic Diagnostic System for Cardiotcography dataComputational Intelligence and Neuroscience 2021 15-21. 2021.Cardiotocography data uncertainty is a critical task for the classification in biomedical field. Constructing good and efficient classifier via machine learning algorithms is necessary to help doctors in diagnosing the state of fetus heart rate. *e proposed neutrosophic diagnostic system is an Interval Neutrosophic Rough Neural Network framework based on the backpropagation algorithm. It benefits from the advantages of neutrosophic set theory not only to improve the performance of rough neural n…Read more
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213دراسة فى المجموعات النيتروسوفيكية الكلاسيكيةمجلة جامعة البعث 43 (2): 55-83. 2021.A Neutrosophic crisp set is a new type of crisp set, and the concept of Neutrosophic crisp set appeared for the first time in 2013, where I. Hanfya and A. Salama studied the Neutrosophic crisp set in a special case in order to study Neutrosophic crisp events and their possibilities [3]. In the context of studying this type of sets, A. Salama and S. Broumi distinguished three types of Neutrosophic crisp set in its special case, in addition to defining the Neutrosophic crisp set in its general cas…Read more
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171The Characteristic Funcation of a Neutrosophic SetNeutrosophic Sets and Systems 3 14-17. 2014.The purpose of this paper is to introduce and study the characteristic function of a neutrosophic set. After given the fundamental definitions of neutrosophic set operations generated by the characteristic function of a neutrosophic set ( Ng for short), we obtain several properties, and discussed the relationship between neutrosophic sets generated by Ng and others. Finally, we introduce the neutrosophic topological spaces generated by Ng . Possible application to GIS topology rules are touched …Read more
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158Neutrosophic Crisp Set TheoryEducational Publishers. 2015.In this book the authors introduce and study the following notions: Neutrosophic Crisp Points, Neutrosophic Crisp Relations, Neutrosophic Crisp Sets, Neutrosophic Set Generated by (Characteristic Function), alpha-cut Level for Neutrosophic Sets, Neutrosophic Crisp Continuous Function, Neutrosophic Crisp Compact Spaces, Neutrosophic Crisp Nearly Open Sets, Neutrosophic Crisp Ideals, Neutrosophic Crisp Filter, Neutrosophic Crisp Local Functions, Neutrosophic Crisp Sets via Neutrosophic Crisp Ideal…Read more
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157Neutrosophic Closed Set and Neutrosophic Continuous FunctionsNeutrosophic 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.
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155Introduction to Image Processing via Neutrosophic TechniquesNeutrosophic Sets and Systems 5 59-64. 2014.This paper is an attempt of proposing the processing approach of neutrosophic technique in image processing. As neutrosophic sets is a suitable tool to cope with imperfectly defined images, the properties, basic operations distance measure, entropy measures, of the neutrosophic sets method are presented here. İn this paper we, introduce the distances between neutrosophic sets: the Hamming distance, the normalized Hamming distance, the Euclidean distance and normalized Euclidean distance. We will…Read more
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144Neutrosophic Knowledge. Journal of Modern Science and Arts, vol. 1, 2020 (edited book)University of New Mexico. 2020.“Neutrosophics Knowledge” has been created for publications on advanced studies in neutrosophy, neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics that started in 1995 and their applications in any field, such as the neutrosophic structures developed in algebra, geometry, topology, etc. The submitted papers should be professional, in good English and Arabic, containing a brief review of a problem and obtained results. Neutrosophy is a new branch of philosophy…Read more
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134Neutrosophic Crisp Set TheoryNeutrosophic 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.
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128Filters via Neutrosophic Crisp SetsNeutrosophic Sets and Systems 1 34-37. 2013.In this paper we introduce the notion of filter on the neutrosophic crisp set, then we consider a generalization of the filter’s studies. Afterwards, we present the important neutrosophic crisp filters. We also study several relations between different neutrosophic crisp filters and neutrosophic topologies. Possible applications to database systems are touched upon.
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116Introduction to Develop Some Software Programs for Dealing with Neutrosophic SetsNeutrosophic Sets and Systems 3 51-52. 2014.In this paper, we have developed an Excel package to be utilized for calculating neutrosophic data and analyze them. The use of object oriented programming techniques and concepts as they may apply to the design and development a new framework to implement neutrosophic data operations, the c# programming language, NET Framework and Microsoft Visual Studio are used to implement the neutrosophic classes. We have used Excel as it is a powerful tool that is widely accepted and used for statistical a…Read more
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108New Neutrosophic Crisp Topological ConceptsNeutrosophic Sets and Systems 4 50-54. 2014.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.
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41Neutrosophic Fuzzy Boundary Value Problem under Generalized Hukuhara DifferentiabilityNeutrosophic Sets and Systems 47 97-200. 2021.In this article, the main definitions and differentiation concepts of neutrosophic fuzzy environment will be reviewed. This article will introduce an analytical methodology for solving the second-order linear ordinary differential problem with neutrosophic fuzzy boundary values, this analysis will be under generalized Hukuhara differentiability to show the analytical solutions from a different point of view for the uncertain system, some of these solutions may be decreasing in uncertainty or ma…Read more
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16Topological Manifold Space via Neutrosophic Crisp Set TheoryNeutrosophic Sets and Systems 15 18-21. 2017.
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16Neutrosophic Crisp Sets & Neutrosophic Crisp Topological SpacesNeutrosophic Sets and Systems 2 25-30. 2014.In this paper, we generalize the crisp topological spaces to the notion of neutrosophic crisp topological space, and we construct the basic concepts of the neutrosophic crisp topology.
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15Neutrosophic Set and Neutrosophic Topological SpacesIOSR Journal of Mathematics (IOSR-JM) 4 (3): 31-35. 2012.Neutrosophy has been introduced by Smarandache as a new branch of philosophy. The purpose of this paper is to construct a new set theory called the neutrosophic set. After given the fundamental definitions of neutrosophic set operations, we obtain several properties, and discussed the relationship between neutrosophic sets and others. Finally, we extend the concepts of fuzzy topological space and intuitionistic fuzzy topological spaceto the case of neutrosophic sets.
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15Neutrosophic Approach to Grayscale Images DomainNeutrosophic 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
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13Neutrosophic Crisp Points & Neutrosophic Crisp IdealsNeutrosophic Sets and Systems 1 50-53. 2013.
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12A GLIMPSE OF VIRTUAL REALITY PUBLICATIONS IN ENGINEERING DISCIPLINESEgyptian Journal of Applied Sciences (EJAS) 35 75-83. 2020.ABSTRCTIn recent times, Information and Communication Technology (ICT) hasbeen developed and widely spread around world. ICT is used in various sectorsand considered a basis in the emergence of some important technologies such asvirtual reality technology. Virtual Reality (VR) is a special technology as anadvanced technology connected to several fields, e.g. training, learning, science,engineering, medicine, military, etc. VR has great potentials which enabled toperform several phenomena and exp…Read more
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10Generalized Neutrosophic Set and Generalized Neutrosophic Topological SpacesComputer Science and Engineering 2 (7): 129-132. 2012.In this paper we introduce definitions of generalized neutrosophic sets. After given the fundamental definitions of generalized neutrosophic set operations, we obtain several properties, and discussed the relationship between generalized neutrosophic sets and others. Finally, we extend the concepts of neutrosophic topological space [9], intuitionistic fuzzy topological space [5, 6], and fuzzy topological space [4] to the case of generalized neutrosophic sets. Possible application to GIS topology…Read more
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10On Neutrosophic GraphNeutrosophic Knowledge 1 9-13. 2020.This paper is devoted for presenting new neutrosophic similarity measures between neutrosophic graphs. We propose two ways to determine the neutrosophic distance between neutrosophic vertex graphs. The two neutrosophic distances are based on the Haussdorff distance, and a robust modified variant of the Haussdorff distance, moreover we show that they both satisfy the metric distance measure axioms. Furthermore, a similarity measure between neutrosophic edge graphs, that is based on a probabilisti…Read more
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9Introduction to Develop Some Software Programs for Dealing with Neutrosophic SetsNeutrosophic Sets and Systems 3 51-52. 2014.In this paper, we have developed an Excel package to be utilized for calculating neutrosophic data and analyze them. The use of object oriented programming techniques and concepts as they may apply to the design and development a new framework to implement neutrosophic data operations, the c# programming language, NET Framework and Microsoft Visual Studio are used to implement the neutrosophic classes. We have used Excel as it is a powerful tool that is widely accepted and used for statistical a…Read more
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9Neutrosophic Crisp Set TheoryEducation Publishing. 2015.Since the world is full of indeterminacy, the Neutrosophics found their place into contemporary research. We now introduce for the first time the notions of Neutrosophic Crisp Sets and Neutrosophic Topology on Crisp Sets. We develop the 2012 notion of Neutrosophic Topological Spaces and give many practical examples. Neutrosophic Science means development and applications of Neutrosophic Logic, Set, Measure, Integral, Probability etc., and their applications in any field. It is possible to define…Read more
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9Some fuzzy topological operators via fuzzy idealsChaos Solitons Fractals 12 (13): 2509-2515. 2001.Fuzzy ideals, fuzzy local function and the notion of compatibility of fuzzy ideals with fuzzy topologies were introduced and studied by D. Sarker (Fuzzy Sets and Systems 87 (1997) 117). The purpose of this paper deals with new sort of fuzzy local function namely fuzzy α-local function. Many of its characterizations, properties and connections between it and other corresponding fuzzy notions are studied. Also we introduce and study two types of fuzzy compatibility namely fuzzy α-compatibility and…Read more
A. A. Salama
Port Said University
Port Said University
Alumnus
Egypt, TX, United States of America
Areas of Specialization
Science, Logic, and Mathematics |
Value Theory |
Computer Ethics |
Ethics of Artificial Intelligence |