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Neutrosophic Mathematics in Contemporary Research

Explore the impact of Neutrosophic Mathematics, a new field shaping modern research, with insights on applications and techniques. Dive into the work of Dr. Florentin Smarandache and Dr. A.A. Salama. Discover a world of indeterminacy and possibilities.

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Neutrosophic Mathematics in Contemporary Research

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  1. Since the world is full of indeterminacy, the neutrosophics found their place into contemporary research. Neutrosophic Mathematics A. A. Salama Department of Mathematics and Computer Science, Faculty of Science, Port Said University رياضيات جديدة سوف تغير وجه العالم

  2. Professor Dr. Florentin Smarandache Dr. A. A. Salama , Department of Mathematics and Computer Science, Faculty of Science, Port Said University, Egypt Dr. Florentin Smarandache is a Professor of Mathematics at the University of New Mexico in USA • He published over 75 books and 200 articles and notes in mathematics, physics, philosophy, psychology, rebus, literature. In mathematics his research is in number theory, non-Euclidean geometry, synthetic geometry, algebraic structures, statistics, neutrosophic logic and set (generalizations of fuzzy logic and set respectively), neutrosophic probability (generalization of classical and imprecise probability).Also, small contributions to nuclear and particle physics, information fusion, neutrosophy (a generalization of dialectics), law of sensations and stimuli, etc. He got the 2010 Telesio-Galilei Academy of Science Gold Medal, Adjunct Professor (equivalent to Doctor Honoris Causa) of Beijing Jiaotong University in 2011, and 2011 Romanian Academy Award for Technical Science (the highest in the country). Dr. W. B. Vasantha Kandasamy and Dr.Florentin Smarandache got the 2012 and 2011 New Mexico-Arizona Book Award for Algebraic Structures A. A. Salama Neutrosophic Sets, Topology and Computer Science Florentin Smarandache Neutrosophic logic

  3. Neutrosophic Mathematics • Introduction • Papers • List of publications • Neutrosophic Set Theory • Neutrosophic Topology • Neutrosophic Computer Sci. • Neutrosophic Statistics Neutrosophic Mathematics Dr. Ahmed Salama (A. A. Salama) Department of Mathematics and Computer Science, Faculty of Science, Port Said University

  4. Examples of indeterminacy

  5. Relations between Neutrosophic Concepts and others Fuzzy Logic Crisp Logic Intuitionistic Fuzzy Logic Crisp Intuitionistic Logic Generalized Intuitionistic Logic Generalized Fuzzy Intuitionistic Logic Neutrosophic Crisp Logic Neutrosophic Logic

  6. Types of Data Crisp Data Intuitionistic Crisp Data Fuzzy Data Intuitionistic Fuzzy Data Neutrosophic Crisp Data Generalized Intuitionistic Fuzzy Data Neutrosophic Data Generalized Neutrosophic Data

  7. Types of Data Crisp Set Intuitionistic Crisp Set Interval Valid Intuitionistic Fuzzy Set Fuzzy Set Interval Neutrosophic Set Intuitionistic Fuzzy Set Neutrosophic Crisp Set Generalized Intuitionistic Fuzzy Set Neutrosophic Set Generalized Neutrosophic Set

  8. Neutrosophic Techniques Neutrosophic Logic Neutrosophic Set Neutrosophic Math. Neutrosophic Statistics

  9. Neutrosophic System Equation Neutrosophic Systems Neutrosophic Outputs Neutrosophic Inputs Neutrospohic Information NeutrospohicData

  10. Data Base Computer Sciences Information Technology Image E-Learning Neutrosophic Data Programming Code Graph GIS Mathematics Statistics Relations

  11. Neutrosophic Package Programming Math Statistics GIS Rules Neutrosophic Charts Neutrosophic Events Neutrosophic Topology Neutrosophic Operations Neutrosophic Relations Neutrosophic Ideals Neutrosophic Statistical Analysis Neutrosophic Matrices' Neutrosophic Filters

  12. Implementing Neutrosophic Set Operations Using Object Oriented Programming Neutrosophic Data Mat lab Excel with Neutrosophic Package SPSS OOP C# & .NET Framework Excel MAPLE

  13. Neutrosophic Applications • Introduction to Image Processing via Neutrosophic Techniques • Image Retrieval Using Neutrosophic Sets • Enhancing Images using Non-classical Sets • Using Neutrosophic Sets for Data Processing • GIS Neutrosophic Topological Rules . • A Novel Image Segmentation Algorithm Based on Neutrosophic Filtering and Level Set • A Study Of The Relations In Neutrosophic Databases

  14. Fuzzy Set Neutrosophic Applications Database GIS Topology Image Processing GIS Fuzzy Topology Fuzzy Database Fuzzy Image Processing GIS Intuitionistic Fuzzy Topology Intuitionistic Fuzzy Database Intuitionistic Fuzzy Image Processing GIS Neutrosophic Topology Neutrosophic Image Processing Neutrosophic Database

  15. Neutrosophic Crisp Set Security Data Probablity of Neutrosophic Crisp sets Fuzzy Security Data Neutrosophic Set Intuitionistic Fuzzy Security Data Correlation of Neutrosophic Data Neutrosophic Security Data Method(1) Method(2) Method(3)

  16. Applications on GIS Ideals Filters GIS Topology GIS Topology Fuzzy Ideals Fuzzy Filters GIS Fuzzy Topology Intuitionistic Fuzzy Ideals GIS Intuitionistic Fuzzy Topology Intuitionistic Fuzzy Filters Generalized Intuitionistic Fuzzy Ideals GIS Generalized Intuitionistic Fuzzy Topology Neutrosophic Filters GIS Neutrosophic Topology Neutrosophic Ideals

  17. Implementing Neutrosophic Set Operations Using Object Oriented Programming Implementing Neutrosophic Set Operations Using Object Oriented Programming Figure 1: Neutrosophic Chart

  18. Neutrosophic Package Interface

  19. Neutrosophic Package Interface

  20. Figure 2: Neutrosophic Package Interface and Calculating Complement Neutrosophic Package Interface

  21. Figure 3 : Neutrosophic Package Union Chart

  22. Figure 4: Neutrosophic Package Intersection Chart

  23. Neutrosophic scurity data

  24. عودة

  25. Thank you A. A. Salama

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