ON (p, q)-FUZZY SUBGROUPS

ON (p, q)-FUZZY SUBGROUPS

A. Sivadas, S. J. John , T. M. Athira

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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)-fuzzy subgroup, (p, q)-fuzzy normal subgroup, (p, q)- fuzzy level subgroup.