aspg-21-3630-1791465329 20261008131529 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2025 26 1 D. Mahendar 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 In this work, we present novel techniques for the reciprocal fractional floor function applied neutrosophic set (RFFFNS) via interaction aggregating operator. The neutrosophic set combined with the reciprocal fractional floor operator. The geometric interaction operations of neutrosophic numbers and their new averaging are studied using the universal aggregation function. The RFFFNS are idempotent, boundedness compatible, commutative, and associative. Four new interaction aggregating operators are introduced: RFFFNS interaction weighted averaging, RFFFNS interaction weighted geometric, generalized RFFFNS interaction weighted averaging, and generalized RFFFNS interaction weighted geometric. The aggregation functions are commonly assumed to be represented by the Euclidean distance, Hamming distance, and score values. 2025 234 242 3630 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.260120 https://www.americaspg.com/journal/21/article/3630 https://www.americaspg.com/storage/11740198548.pdf