Hypergroupoids as Tools for Studying Blood Group Genetics

Abstract

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.

Fuzzy Almost Hyperideals and Fuzzy Almost Quasi-Hyperideals in Semihypergroups

“…Semihypergroups are a generalization of semigroups in that each product of two elements is a nonempty set rather than an element. This generalization of semihypergroups is applicable in many scientific disciplines, including biology (see [13]). Almost hyperideals, introduced by semihypergroups.…”