Fuzzy hyperlattice ordered δ - group and its application on ABO blood group system

Issue title: Soft Computing and Intelligent Systems: Techniques and Applications

Guest editors: Sabu M. Thampi, El-Sayed M. El-Alfy and Ljiljana Trajkovic

Article type: Research Article

Authors: Preethi, D.^a | Vimala, J.^{a; *} | Rajareega, S.^a | Al-Tahan, M.^b

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: vimaljey@alagappauniversity.ac.in.

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

DOI: 10.3233/JIFS-189853

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 5, pp. 5309-5315, 2021