aspg-21-1959-1791475514 20261008160514 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group International Journal of Neutrosophic Science IJNS 2692-6148 2690-6805 2023 21 4 Alaa M. F. AL. Jumaili Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Iraq The main objective of the present this article is to apply another generalized form of neutrosophic open sets namely,neutrosophic δ-ß-open sets to introduce and study a completely description for another new concept of generalized neutrosophic continuous maps namely, neutrosophic δ-ß-continuous maps in neutrosophic topological spaces. Several of the fundamental properties related to this kind of neutrosophic continuous maps have been investigated. In addition, the interrelationships between this kind of maps and other well-known related neutrosophic maps have been discussed. On the other hand, new class of generalized neutrosophic maps namely, neutrosophic δ-ß-irresolute maps has been studied, and some of the essential properties concerning of this class of generalized neutrosophic maps have been introduced. Moreover, various suitable examples to support of these results have been provided. 2023 21 29 1959 https://creativecommons.org/licenses/by/4.0/ 10.54216/IJNS.210402 https://www.americaspg.com/journal/21/article/1959 https://www.americaspg.com/storage/61690403810.pdf