On intuitionistic Fuzzy Subgroups and their ideals

Abstract

This memory explores intuitionistic fuzzy subgroups and their ideals, starting with a review of classical group theory, fuzzy sets, intuitionistic fuzzy sets, and related operations such as union, intersection and completion. Also, we introduce the concept of strong and weak α- levels of intuitionistic fuzzy sets to study intuitionistic fuzzy subgroups and their ideals. The final section focuses on fuzzy ideals, discussing their characteristic sets, likewise supports, kernels, and intuitionistic fuzzy α- line. The work provides a comprehensive examination of the characteristics and applications of intuitionistic fuzzy sets to intuitionistic fuzzy subgroups and their corresponding ideals.