International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2483 2020 2020 Department of Mathematics, Applied Science Private University, Amman, Jordan Eman Almuhur Department of Basic Science / Scientific, Applied Science Private University, Amman, Jordan Husam Miqdad Department of Mathematics, University of Petra, Amman, Jordan Manal Al Al-labadi Department of Mathematics, Chandigarh University, Punjab, India Mohammad I. Idrisi 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 2024 148 153 10.54216/IJNS.230313 https://www.americaspg.com/articleinfo/21/show/2483