aspg-24-884-1791482491 20261008180131 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2021 1 1 Prem Kumar Singh Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India Recently, a problem is addressed while dealing with fourth dimensional or non-Euclidean data sets. These are the data sets does not follow one of the postulates established by Euclid specially the parallel postulates. In this case, the precise representation of these data sets is major issues for knowledge processing tasks. Hence, the current paper tried to introduce some non-Euclidean geometry or Anti-Geometry methods and its examples for various applications. 2021 24 33 884 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.010102 https://www.americaspg.com/journal/24/article/884 https://www.americaspg.com/storage/5257.pdf