Biological inheritance on fuzzy hyperlattice ordered group

Issue title: Special section: 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; *} | Davvaz, B.^b | Rajareega, S.^a

Affiliations: [a] Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India | [b] Department of Mathematics, Yazd University, Yazd, Iran

Correspondence: [*] Corresponding author. J. Vimala, Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India. E-mail: vimaljey@alagappauniversity.ac.in.

Abstract:  In this manuscript we proposed the concept of fuzzy hyperlattice ordered group. Algebraic hyperstructures represent a natural extension of classical algebraic structures. In a classical algebraic structure, the composition of two elements is an element, while in an algebraic hyperstructure, the composition of two elements is a set. Algebraic hyperstructure theory has many applications in other disciplines. The foremost intendment of the manuscript is to contribute some properties of fuzzy hyperlattice ordered group and also an application of fuzzy hyperlattice ordered group on inheritance.

Keywords: Hyperlattice, fuzzy hyperlattice, lattice ordered group, fuzzy lattice ordered group, fuzzy hyperlattice ordered group AMS MSC: 03E72, 06D72, 20N20

Keywords: 03E72, 06D72, 20N20

DOI: 10.3233/JIFS-179726

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 5, pp. 6457-6464, 2020