1. Starshaped Neutrosophic Crisp Set Theory
Presented By : Asmaa Mohamed Mohamed Ali Nasr

2. Supervisors Dr. Ahmed Salama
Depatment of Mathematics and Computer Science , Faculty of
Science , Portsaid University , Egypt
Dr. Hewayda El-Ghawalby
Engineering , Portsaid University , Egypt

3. Motivation
In image analysis , there are many theories and algorithms for the extraction of “ shapes “ from a digital image
Most shape analysis Methods deal with connected regions and their surrounding curves .
Among simply connected domains is the “ Starshaped domain “

4. In Crisp Set Theory
A Set S in the Euclidean space is called a Starshaped domain if there exists in S such that for all in S the line segmant from to is in S .

5. Crisp Sets Some properties of Starshaped domain :
- The closure of a Star domain is a Star domain , but the interior is not necessary a Star domain .
- Every Star domain can be shrunk into itself .
- Any star domain is a simply connected set .
- The union and intersection of two Star domains is not necessary a Star domain .

6. In This thesis
We will generalize the concept of Starshaped to the Neutrosophic
Moreover , we will study the Neutrosophic generalization of the Star Relations and Points .

7. Neutrosophic Crisp Set
A neutrosophic crisp set (NCS for short) :
A=<A1,A2,A3> can be identified to an ordered triple <A1,A2,A3> are subsets on X and every crisp set in X is obviously a NCS having the form <A1,A2,A3> .

8. Thesis Plan :
An introduction and a literature relevant to the research topic , the justification of under-pining research and concepts involved in the thesis is considered .
Devolop a new type of Neutrosophic Crisp Sets called the Starshaped Neutrosophic Crisp Sets , and hence study some basic operations relevant to this new type .
Introduce and study the notion of Starshaped Neutrosophic Crisp Points and Relations and some of its Properties .
Importing some of the basic concepts and theorems to the new type .

9. Introduction: Crisp Set Intuitionistic Crisp Set
Neutrosophic Crisp Set
Starshaped Neutrosophic Crisp Set
Set Theory
Relation
Points

10. Starshaped Neutrosophic Crisp Relation
Intuitionistic Crisp Relation
Neutrosophic Crisp Relation
Starshaped Neutrosophic Crisp Relation

11. Starshaped Neutrosophic Crisp Point
Intuitionistic Crisp Point
Neutrosophic Crisp Point
Starshaped Neutrosophic Crisp Point