International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/4088 2020 2020 Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran Mohammad Mohammad Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran Sirous Jahanpanah Department of Mathematics, University of New Mexico, Gallup, NM 87301, USA Florentin Smarandache This paper presents an innovative generalization of intuitionistic fuzzy Q-subalgebras (IF-Q-S) by incorporating the structure of q-Rung Orthopair fuzzy sets (q-ROFS), which are distinguished by their independen membership and non-membership functions. It inserts and investigates q-Rung Orthopair fuzzy Q-subalgebras (q-ROFQ-S), demonstrating that this model is equivalent to a combination of a fuzzy Q-subalgebra (F-Q-S) and an anti-fuzzy Q-subalgebra (AF-Q-S). The study’s notable contributions include the definition of the nil radical and an exploration of its properties under homomorphisms. Additionally, it establishes that the union of q-ROFQ-subalgebras can itself form such a subalgebra under particular commutative conditions. Expanding the concept to the realm of ideals, the paper defines q-Rung Orthopair fuzzy Q-ideals (q-ROFQ-I) and proves that every q-regular q-ROFQ-S is inherently a q-ROFQ-I. This work offers a robust and versatile algebraic framework for addressing approximation in complex nonlinear systems. 2026 2026 373 391 10.54216/IJNS.270231 https://www.americaspg.com/articleinfo/21/show/4088