Construction of Q- Rung Orthopair (M, N) Uncertainty Level Subgroup Structures

The main objective of this article is to introduce the idea of q-rung orthopair   (m,  n)-fuzzy subgroups of a finite group. We discuss the concept of  q-rung orthopair (m, n) – fuzzy subgroups as a combination of intuitionist fuzzy subgroup and Pythagorean fuzzy subgroup. We provide the definition of q-rung orthopair (m, n) – fuzzy subgroup and examine various properties associated with it. Finally we analyze  q-rung orthopair (m, n)- fuzzy cosets, (m, n) – fuzzy normal subgroups and (m, n)- fuzzy level subgroups.

intuitionist fuzzy set, Pythagorean fuzzy set, q-rung orthopair (m, n)- fuzzy subgroup, q-rung orthopair (m,n)- fuzzy Coset, normal subgroup, homomorphism.

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