aspg-21-2483-1791472116 20261008150836 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2024 23 3 Eman Almuhur Department of Mathematics, Applied Science Private University, Amman, Jordan Husam Miqdad Department of Basic Science / Scientific, Applied Science Private University, Amman, Jordan Manal Al-labadi Department of Mathematics, University of Petra, Amman, Jordan Mohammad I. Idrisi Department of Mathematics, Chandigarh University, Punjab, India In the final years of the 20th century, the notion of generalized topological spaces was introduced, marking a significant shift in the field of topology. This paper focuses on a subset of ℘(X) on a non-empty set X that is closed under arbitrary unions, defining a generalized topology and subsequently a generalized topological space (GTS) denoted by (X,μ). Within this framework, we explore the concept of Noetherian generalized topological spaces and delve into the properties of μ-L-closed subsets within the Noetherian GTS. The investigation reveals that subspaces of a μ-Noetherian GTS X, with the induced topology, inherit the μ-Noetherian property and exhibit finitely many non-empty μ-irreducible components. Furthermore, the study extends to the analysis of hereditary properties, regular 〖μ-G〗_δ, 〖μ-d〗_δ, μ-irreducible L-closed subsets, and the product properties of μ-L-closed subsets under (μ,μ')-continuous functions. We also establish the closure property of finite unions in μ-Noetherian GTS and clarify the homeomorphic nature of μ-Noetherian GTS (X,μ) to itself. 2024 148 153 2483 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.230313 https://www.americaspg.com/journal/21/article/2483 https://www.americaspg.com/storage/51706886146.pdf