aspg-34-1837-1791475983 20261008161303 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Prospects for Applied Mathematics and Data Analysis PAMDA 2836-4449 2023 2 1 Florentin Smarandache University of New Mexico ,Mathematics, Physics and Natural Sciences Division 705 Gurley Ave., Gallup, NM 87301, USA Maissam Jdid Faculty of Informatics Engineering, Al-Sham Private University, Damascus, Syria We present this research to all researchers and scholars who have realized the existence of indeterminacy in all data, through the results they obtain and the values that are not accurate enough and that may cause loss to the systems and facilities under study, and we will present through it the emergence, foundations and development of Neutrosophic theories and their applications for more than two decades (1995- 2023) since it was defined and studied, along with its applications, in order to be able to present new studies and research that keep pace with the great scientific development that our contemporary world is witnessing, through the use of research that has been published by the professionals and found on the attached open links. 2023 19 26 1837 https://creativecommons.org/licenses/by/4.0/ 10.54216/PAMDA.020102 https://www.americaspg.com/journal/34/article/1837 https://www.americaspg.com/storage/61701035485.pdf