aspg-21-2657-1791475246 20261008160046 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 24 1 Ibraheem Abu Falahah Department of Mathematics, Faculty of Science, The Hashemite University P.O. Box 330127, Zarqa, 13133, Jordan T. T. Raman Department of Mathematics, St. Joseph’s Institute of Technology, OMR, Chennai-600119, India Abdallah Al-Husban Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box: 2600 Irbid, Jordan Ayman Alahmade Department of Mathematics, College of Science and Art, AlUla branch, Taibah University, Medina, Saudi Arabia S. Azhaguvelavan Department of Mathematics, Dr.R.K. Shanmugam College of Arts and Science, Indili, Kallakurichi Murugan Palanikumar Department of Mathematics, Saveetha School of Engineering, Saveetha Institute of Medical and Technical Sciences, Chennai-602105, India This article discusses a new approach to multiple attribute decision-making (MADM) based on (l1, l2, l3) neutrosophic sets (NS). This is an extension of the NS. Neuosophic weighted averaging (NWA), neutrosophic weighted geometrics (NWG), generalized neutrosophic weighted averaging (GNWA), and generalized neutrosophic weighted geometrics (GNWG) are the topics of this article. The flowchart we presented during our discussion showed an algorithm that used these operators. Numerical examples are provided for the extended Euclidean and Hamming distance measures. As part of this communication, we will also elaborate on the properties of neutrosophic sets, such as their idempotency, their boundness, their commutativity, and their monotonicity. They make it quicker, easier, and more convenient to find the best option. Thus, there is a stronger connection between (l1, l2, l3) and more precise conclusions. Some of the current models are compared with those that have been proposed in order to demonstrate their dependability and utility. The study also revealed fascinating and intriguing findings. 2024 171 185 2657 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.240116 https://www.americaspg.com/journal/21/article/2657 https://www.americaspg.com/storage/01712551646.pdf