A mathematical approach to the proximity of objects

This paper has been prepared as a master thesis and it has been divided into six chapters; The first chapter is "Overview" and in this chapter literature review has been made, Second chapter, the specialties of the Fuzzy, Soft, and Rough sets and some instances of those shared, Additionally, in the third chapter, the specialties and instances of Near Set have been explained. Also, theorems proofs, instances and symbols that have been touched upon in this chapter form the original part of this thesis, In the fourth chapter, some details of nearness approximation space have been shared some symbols and specialties described in this space have been given by using tables, When it comes to the fifth chapter, Near Set Theory and its relation with the Flexible Set has been investigated also been shared along with the theories and proofs of the relation, Lastly in the sixth part, the possible usage area of this thesis along with the advantages and disadvantages has been also indicated.