Redox reaction on homomorphism of fuzzy hyperlattice ordered group

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. | Vimala, J.^{; *}

Affiliations: Department of Mathematics, Alagappa University, Tamilnadu, India

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

Abstract: This paper introduces the concept of homomorphism on fuzzy hyperlattice ordered group (FHLOG) . It studies how the binary and the fuzzy hyperoperations of a FHLOG can be transformed into the binary and the fuzzy hyperoperations of another FHLOG . The notion of fuzzy hypercongruence relation on FHLOG is also defined. The paper also establishes the redox reaction of copper, gold and americium forms three FHLOG s. Besides, homomorphism and composition function of FHLOG s using the redox reactions are developed. Therefore, the paper develops a relation among three different metal’s redox reactions in which the binary and the fuzzy hyperoperations, are preserved.

Keywords: Lattice ordered group, fuzzy lattice ordered group, fuzzy hyperlattice, fuzzy hyperlattice ordered group, homomorphism, redox reactions

DOI: 10.3233/JIFS-189888

Journal: Journal of Intelligent & Fuzzy Systems, vol. 41, no. 5, pp. 5691-5699, 2021