Cartesian product of intuitionistic fuzzy subgroups

Fuzzy sets have become fundamental tools for addressing uncertainty and ambiguity across a wide range of scientific disciplines. A significant development within fuzzy set theory is the emergence of fuzzy subgroups, which adapt fuzzy set principles to the context of group theory. This research introduces the Cartesian product of two (or more) intuitionistic fuzzy subgroups and analyzes the characterization of this Cartesian product within the framework of intuitionistic fuzzy subgroups. Furthermore, we investigated various properties of this concept, aiming to make a significant contribution to the understanding of the interplay between these concepts and thus paving the way for new applications in fuzzy algebra and related fields.