Neutro-hyper rings and it's applications

This thesis introduces the definition for neutro-hyper ring for first time depending on concept of neutrosophication and antisophication, which are processes that generate neutroalgebraic and antialgebraic structures from any classical structure. These processes can generate 2x-1 neutrostructures and 3x-2x antistructures from any structure with x items. The main focus of the thesis is to present new definitions for different types of neutrohyperring, along with providing examples for each type. The thesis begins by introducing the main concepts and the meaning of hyper and algebraic structures. Then, it progresses to study different types of hyperring, with a focus on the main definitions. The fourth chapter introduces the concept of neutro structures and studies neutrohypergroups specifically. The fifth chapter presents the main goal of the thesis, which is to introduce definitions for neutrohyperring with examples. Finally, the last chapter presents the results of the study.