International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1187 2020 2020 Fuzzy Algebras and Decision-Making Problems Research Unit, Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand Aiyared Iampan Department of Mathematics, Bharathiyar University, Coimbatore 641046, Tamilnadu, India P. Jayaraman Department of Mathematics, Bharathiyar University, Coimbatore 641046, Tamilnadu, India S. D. Sudha Department of Mathematics, Rajah Serfoji Government College, Thanjavur 613005, Tamilnadu, India N. Rajesh The concept of interval-valued neutrosophic sets (IVNSs) was first introduced by Wang et al. (Wang, H.; Smarandache, F.; Zhang, Y. Q.; Sunderraman, R. Interval neutrosophic sets and logic: Theory and applications in computing. Hexis, Phoenix, Ariz, USA, 2005.). In this paper, the concept of IVNSs to ideals of Hilbert algebras is introduced. The homomorphic inverse image of interval-valued neutrosophic ideals (IVN ideals) in Hilbert algebras is also studied and some related properties are investigated. 2022 2022 223 237 10.54216/IJNS.180420 https://www.americaspg.com/articleinfo/21/show/1187