Examples of NeutroHyperstructures on Biological Inheritance

Abstract

In 1934, Marty introduced the concept of hyperstructures, which serves as a generalization of algebraic structures. Hyperstructures have applications in various fields, including biology, where they prove useful for analyzing the different types of hyperstructures in inheritance. On the other hand, NeutroHyperstructures combine Neutrosophic sets with hyperstructures, offering a promising avenue to handle uncertainty in inheritance analysis. Inspired by the intriguing variety of hyperstructures observed in inheritance phenomena, this paper takes on the purpose of thoroughly examining the types of NeutroHyperstructures present in multiple biological inheritance examples. The study focuses on analyzing inheritance patterns in Mirabilis Jalapa flowers, Shorthorn Cattle coat color, and blood types (ABO, ABO with rhesus, MN, MN with rhesus, and the Kidd system) through the lens of NeutroHyperstructures. Through this meticulous analysis, the research aims to contribute significant insights into the genetic inheritance processes, unveiling the role of NeutroHyperstructures in governing diverse biological traits. The findings offer valuable implications for the field of mathematical biology, presenting novel perspectives on inheritance modeling and establishing the potential of NeutroHyperstructures to effectively address uncertainty in genetics and inheritance studies. This study fosters a deeper understanding of complex biological inheritance and opens new avenues for practical applications in the realm of genetics and related disciplines.

Keywords

• biological inheritance
• hyperstructures
• hypergroup
• neutrohyperstructures
• neutrohypergroup