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 γ‐anti fuzzy normal subgroups and γ‐fuzzy normal subgroups. Set‐theoretic properties of union and intersection are examined and it is observed that union and intersection of γ‐anti fuzzy normal subgroups are γ‐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 γ‐anti fuzzy normal subgroups and γ‐fuzzy normal subgroups is defined, the product’s algebraic nature is analyzed, and the findings are supported by presenting γ‐anti typical sections with blurring and γ‐ordinary parts with the weirdness of well‐defined and well‐established groups of genetic codes.