Hypergroupoids as Tools for Studying Blood Group Genetics

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

International Journal of Fuzzy Logic and Intelligent Systems, cilt.21, sa.2, ss.135-144, 2021 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.5391/ijfis.2021.21.2.135
  • Dergi Adı: International Journal of Fuzzy Logic and Intelligent Systems
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.135-144
  • Anahtar Kelimeler: Blood group genetics, Genotype, Hypersemigroups, m-factorizable, m-factors, Phenotype
  • Yıldız Teknik Üniversitesi Adresli: Evet

Özet

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.