Affiliations: [a] Department of Mathematics, Alagappa University, Tamilnadu, India
| [b] Department of Mathematics, Lebanese International University, Bekaa, Lebanon
Correspondence:
[*]
Corresponding author. J. Vimala, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. E-mail: [email protected].
Abstract: This article deals with a fuzzy hypercompositional structure called fuzzy hyperlattice ordered δ- group
(FHLOδ-G)
, the extension of the fuzzy hypercompositional structure namely fuzzy hyperlattice ordered group (FHLOG). Using
FHLOδ-G
, we can involve one additional non-empty set δ with FHLOG, which helps to develop new results and applications. The structural characteristics and properties of
FHLOδ-G
are analysed. Furthermore, an application of
FHLOδ-G
for
ABO
blood group system is proposed.
Keywords: Lattice ordered group, fuzzy lattice ordered group, fuzzy hyperlattice, fuzzy hyperlattice ordered group, 𝒜ℬ𝒪 blood group system
