aspg-21-3626-1791472387 20261008151307 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 1 P. Srikanth Rao B V Raju Institute of Technology, Narsapur Medak-Dist, Telangana State, 502313, India R. Balaji Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India Nasreen Kausar Department of Mathematics, Faculty of Arts and Science, Balikesir University, 10145 Balikesir, Turkey Tonguc Cagin College of Business Administration, American University of the Middle East, Kuwait We introduce new methods for the trigonometric Pythagorean neutrosophic set (TPNSS) via interaction aggregating operator in this study. A combination of the trigonometric operator and the Pythagorean neutrosophic set. The universal aggregation function is used to study the novel averaging and geometric interaction operations of Pythagorean neutrosophic numbers. The TPNSS are commutative, associative, idempotent, and boundedness compatible. TPNSS interaction weighted averaging, TPNSS interaction weighted geometric, generalized TPNSS interaction weighted averaging, and generalized TPNSS interaction weighted geometric are the four new interaction aggregating operators that are introduced. The Euclidean distance, Hamming distance, and score values are often assumed to represent the aggregation functions. 2025 181 191 3626 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260116 https://www.americaspg.com/journal/21/article/3626 https://www.americaspg.com/storage/01740196094.pdf