aspg-21-3962-1791475461
20261008160421
American Scientific Publishing Group
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American Scientific Publishing Group
International Journal of Neutrosophic Science
IJNS
2692-6148
2690-6805
2026
27
1
Bipolar Interval Valued Fuzzy Subgroups
Ammar
Al-Khateeb
Department of Studies and Planning, University of Anbar, Ramadi, Anbar, Iraq
Methaq A.
Abdlwahid
College of Applied Sciences-Hit, University of Anbar, Iraq
Fawzi Noori
Nassar
Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
Faisal
Al-Sharqi
Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
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Group theory is one of the significant parts of mathematical algebra. This theory is characterized by its ability to address various applications, including the classification of the symmetry of crystals, atoms, molecules, and polyhedral structures. In this work, we study a newly introduced concept, namely BIVFSs, which is an extension of previous concepts discussed in the previous studies section of this work. In this work, we establish and apply basic algebraic concepts applicable to this concept. We combine this concept with group theory, which has important properties and applications, generating important results, which are explained in the third section of this work. An important result of this work is BIVF-level set, support, BIVF-kernel and bipolar BIVF- characteristic function, and BCF point. Then, we interpret the BIVF-subgroup. Furthermore, we present the associated examples and theorems and prove these associated theorems.
2026
85
92
3962
https://creativecommons.org/licenses/by/4.0/
10.54216/IJNS.270108
https://www.americaspg.com/journal/21/article/3962
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https://www.americaspg.com/storage/01753397401.pdf