On Soluble Intuitionistic Fuzzy Group and its Properties

Authors

  • Paul Augustine Ejegwa Department of Mathematics, Joseph Sarwuan Tarka University, 970101, Makurdi, Nigeria https://orcid.org/0000-0003-4834-6433
  • Nasreen Kausar Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145, Balikesir, Turkey https://orcid.org/0000-0002-8659-0747
  • Aseel Smerat Faculty of Educational Sciences, Al-Ahliyya Amman University, 19328, Amman, Jordan & Department of Biosciences, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, 602105, Chennai, India
  • Tonguc Cagin College of Business Administration, American University of the Middle East, 15453, Egaila, Kuwait

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7164

Keywords:

Intuitionistic fuzzy groups, Intuitionistic fuzzy subgroups, Intuitionistic fuzzy normal subgroups, Quotient intuitionistic fuzzy groups, Solvable intuitionistic fuzzy groups

Abstract

This article introduces the concept of soluble (or solvable) intuitionistic fuzzy groups as a novel intuitionistic fuzzy algebraic structure. Certain fundamental results concerning intuitionistic fuzzy normal subgroups and quotient intuitionistic fuzzy groups are established. Furthermore, a solvable series for an intuitionistic fuzzy group is constructed and illustrated through a detailed example. It is demonstrated that the family of intuitionistic fuzzy subgroups of a given intuitionistic fuzzy group shares the same support as the group itself. Finally, a biconditional relationship between a solvable intuitionistic fuzzy group and its support is proved.

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Published

2026-02-16

Issue

Vol. 19 No. 1: (January 2026)

Section

Algebra

License

Copyright (c) 2026 Paul Augustine Ejegwa, Nasreen Kausar, Aseel Smerat, Tonguc Cagin

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How to Cite

On Soluble Intuitionistic Fuzzy Group and its Properties. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7164. https://doi.org/10.29020/nybg.ejpam.v19i1.7164