On intuitionistic Fuzzy Subgroups and their ideals
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
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.
Description
Keywords
Group, fuzzy set, intuitionistic fuzzy set, fuzzy subgroup, intuitionistic fuzzy subgroup, Intuitionistic fuzzy ideal