Hypergroupoids as Tools for Studying Blood Group Genetics

Creative Commons License

Munir M., KAUSAR N., Salahuddin S., Anjum R., Xu Q., Ahmad W.

International Journal of Fuzzy Logic and Intelligent Systems, vol.21, no.2, pp.135-144, 2021 (ESCI) identifier


We initially introduce the concepts of an m-right (m-left) hyperideal and an m-hyperideal in a hypergroupoid. The ideas behind an m-factor and a generalized m-factor are then introduced. Next, we demonstrate the existence and important properties of these sub-hyperstructures through theorems and examples. We then define the m-right (m-left) consistent, m-consistent, m-intra-consistent, and m-simple hypergroupoids. Finally, we demonstrate that practical problems in biology, such as ABO blood group genetics, can be studied by defining these hypergroupoid substructures.