Redox reaction on homomorphism of fuzzy hyperlattice ordered group

Author:

Preethi D.1,Vimala J.1

Affiliation:

1. Department of Mathematics, Alagappa University, Tamilnadu, India

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.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference30 articles.

1. Lattice ordered group;Birkhoff;Annals of Mathematics, Second Series,1942

2. Congruence relations on some hyperstructures;Cabrera;Ann Math Artif Intell,2009

3. Applications of Hyperstructure Theory

4. Fuzzy Algebraic Hyperstructures

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