On (p, q)-fuzzy subgroups

Abstract

The (p, q)-fuzzy sets, which extend the concept of q-rung orthopair fuzzysets, provide a broader framework for representing uncertainty. This article introduces the concept of (p, q)-fuzzy subgroups of finite groups and examines their fundamental properties. Additionally, it develops and analyzes key concepts such as (p, q)-fuzzy cosets, (p, q)-fuzzy normal subgroups, and (p, q)-fuzzy level subgroups, thereby providing deeper insights into the structure of (p, q)-fuzzy subgroups.