The Characterization of Substructures of γ -Anti Fuzzy Subgroups with Application in Genetics

Abstract

Fuzzy and anti fuzzy normal subgroups are the current instrument for dealing with ambiguity in various decision-making challenges. This article discusses $\gamma$ -anti fuzzy normal subgroups and $\gamma$ -fuzzy normal subgroups. Set-theoretic properties of union and intersection are examined and it is observed that union and intersection of $\gamma$ -anti fuzzy normal subgroups are $\gamma$ -anti fuzzy normal subgroups. Employee selection impacts the input quality of employees and hence plays an important part in human resource management. The cost of a group is established in proportion to the fuzzy multisets of a fuzzy multigroup. It was a good idea to introduce anti-intuitionistic fuzzy sets and anti-intuitionistic fuzzy subgroups, as well as to demonstrate some of their algebraic features. Product of $\gamma$ -anti fuzzy normal subgroups and $\gamma$ -fuzzy normal subgroups is defined, the product’s algebraic nature is analyzed, and the findings are supported by presenting $\gamma$ -anti typical sections with blurring and $\gamma$ -ordinary parts with the weirdness of well-defined and well-established groups of genetic codes.