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Neutrosophic Mathematics رياضيات جديدة سوف تغير وجه العالم

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Presentation on theme: "Neutrosophic Mathematics رياضيات جديدة سوف تغير وجه العالم"— Presentation transcript:

1 Neutrosophic Mathematics رياضيات جديدة سوف تغير وجه العالم
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 Neutrosophic Mathematics
Dr. Ahmed Salama (A. A. Salama) Department of Mathematics and Computer Science, Faculty of Science, Port Said University Introduction Papers List of publications Neutrosophic Set Theory Neutrosophic Topology Neutrosophic Computer Sci. Neutrosophic Statistics

4 Examples of indeterminacy

5

6 Crisp Logic Neutrosophic Logic
Relations between Neutrosophic Concepts and others Fuzzy Logic Crisp Logic Crisp Intuitionistic Logic Intuitionistic Fuzzy Logic Generalized Intuitionistic Logic Generalized Fuzzy Intuitionistic Logic Neutrosophic Crisp Logic Neutrosophic Logic

7 Intuitionistic Crisp Data
Types of Data Intuitionistic Crisp Data Crisp Data Fuzzy Data Intuitionistic Fuzzy Data Neutrosophic Data Generalized Intuitionistic Fuzzy Data Neutrosophic Crisp Data Generalized Neutrosophic Data

8 Intuitionistic Crisp Set
Types of Data Intuitionistic Crisp Set Crisp Set Fuzzy Set Intuitionistic Fuzzy Set Neutrosophic Set Generalized Intuitionistic Fuzzy Set Interval Valid Intuitionistic Fuzzy Set Interval Neutrosophic Set Neutrosophic Crisp Set Generalized Neutrosophic Set

9 Neutrosophic Techniques Neutrosophic Statistics
Neutrosophic Logic Neutrosophic Set Neutrosophic Math. Neutrosophic Statistics

10 Neutrospohic Information
Neutrosophic Inputs Neutrosophic Systems Neutrosophic Outputs NeutrospohicData Neutrospohic Information Neutrosophic System Equation

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

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

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

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

15 Neutrosophic Applications
Fuzzy Set GIS Fuzzy Topology GIS Intuitionistic Fuzzy Topology GIS Neutrosophic Topology GIS Topology Database Image Processing Fuzzy Database Fuzzy Image Processing Intuitionistic Fuzzy Database Intuitionistic Fuzzy Image Processing Neutrosophic Database Neutrosophic Image Processing

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

17 Applications on GIS Ideals Fuzzy Ideals Neutrosophic Ideals Filters
Fuzzy Filters Intuitionistic Fuzzy Filters Neutrosophic Filters Ideals Fuzzy Ideals Intuitionistic Fuzzy Ideals Generalized Intuitionistic Fuzzy Ideals Neutrosophic Ideals GIS Topology GIS Fuzzy Topology GIS Intuitionistic Fuzzy Topology GIS Generalized Intuitionistic Fuzzy Topology GIS Neutrosophic Topology

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

19 Neutrosophic Package Interface

20 Neutrosophic Package Interface

21 Figure 2: Neutrosophic Package Interface and Calculating Complement

22 Figure 3 : Neutrosophic Package Union Chart

23 Figure 4: Neutrosophic Package Intersection Chart

24 Neutrosophic scurity data

25 عودة

26 Thank you A. A. Salama


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