A systematic study in the applications of fuzzy hyperlattice

D. Preethi; J. Vimala; S. Rajareega; D. Preethi; J. Vimala; S. Rajareega

doi:10.3934/math.2021100

AIMS Mathematics

2021, Volume 6, Issue 2: 1695-1705. doi: 10.3934/math.2021100

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A systematic study in the applications of fuzzy hyperlattice

Department of Mathematics, Alagappa University, Tamilnadu, India

Received: 10 September 2020 Accepted: 10 November 2020 Published: 26 November 2020
MSC : 03E72, 06D72, 20N20

In the last few decennium, the acquaintance between algebraic hyperstructures and fuzzy sets have been considered for its theoretical as well as applications in various fields. Fuzzy hyperstructures are fascinating research topic and substantial amount of researches have been undergoing as of now. As a consequence, fuzzy hyperlattice was introduced by Pengfei He, Xiaolong Xin. But the applications on fuzzy hyperlattice are not defined so far. By scrutinizing the fuzzy hyperlattice, our objective is to present some applications of fuzzy hyperlattice in Biological and Physical Sciences. We find the first and second applications in dihybrid cross of Drosophila melanogaster (housefly) and Pisum sativum (Peas), respectively. Third application is in particle Physics (Elementary particles interaction).
- hyperstructure,
- hyperlattice,
- fuzzy hyperlattice,
- inheritance,
- elementary particles
Citation: D. Preethi, J. Vimala, S. Rajareega. A systematic study in the applications of fuzzy hyperlattice[J]. AIMS Mathematics, 2021, 6(2): 1695-1705. doi: 10.3934/math.2021100

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Abstract

In the last few decennium, the acquaintance between algebraic hyperstructures and fuzzy sets have been considered for its theoretical as well as applications in various fields. Fuzzy hyperstructures are fascinating research topic and substantial amount of researches have been undergoing as of now. As a consequence, fuzzy hyperlattice was introduced by Pengfei He, Xiaolong Xin. But the applications on fuzzy hyperlattice are not defined so far. By scrutinizing the fuzzy hyperlattice, our objective is to present some applications of fuzzy hyperlattice in Biological and Physical Sciences. We find the first and second applications in dihybrid cross of Drosophila melanogaster (housefly) and Pisum sativum (Peas), respectively. Third application is in particle Physics (Elementary particles interaction).

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