ON (p, q)-FUZZY SUBGROUPS

Year 2025, Volume: 15 Issue: 9, 2352 - 2365, 01.09.2025

Aparna Sivadas Sunil Jacob John , Athira T M

Abstract

The (p, q)-fuzzy sets, which extend the concept of q-rung orthopair fuzzy sets, 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.

Keywords

(p,q)-Fuzzy set , (p,q)-subgroup , (p,q)-fuzzy normal subgroup , (p,q)-fuzzy level subgroup

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