International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/2533 2020 2020 Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur 613005, Tamilnadu, India Aiyared Aiyared Department of Mathematics, Rajah Serfoji Government College (affiliated to Bharathidasan University), Thanjavur 613005, Tamilnadu, India N. Rajesh Department of Mathematics, School of Science, University of Phayao, 19 Moo 2, Tambon Mae Ka, Amphur Mueang, Phayao 56000, Thailand Aiyared Iampan Characterizations of (∈,∈)-neutrosophic ideals and (q,∈ ∨q)-neutrosophic ideals are provided. Given special sets, so-called neutrosophic ∈-subsets, neutrosophic q-subsets, and neutrosophic (q,∈ ∨q)-subsets, conditions for the neutrosophic ∈-subsets, neutrosophic q-subsets, and neutrosophic (q,∈ ∨q)-subsets to be ideals are discussed. 2024 2024 304 317 10.54216/IJNS.230325 https://www.americaspg.com/articleinfo/21/show/2533