aspg-24-1914-1791482663 20261008180423 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2023 6 2 Prem Kumar Singh Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh 530045, India Recently, several researchers paid attention towards dealing the data sets beyond Non-Euclidean geometry. To achieve this goal, Turiyam set and its properties is introduced for precise measurement of uncertainty in data sets beyond acceptation, rejection and uncertain parts. However the characterization of uncertainty requires a new operator and method. To resolve this issue, the current paper introduces a method for precise characterization of fourth dimensional data based on Turiyam operator and its complement with an illustrative example. The proposed method also compared the given method with Euclidean, Non-Euclidean, and NeutroGeometry data characterization. 2023 23 37 1914 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.060203 https://www.americaspg.com/journal/24/article/1914 https://www.americaspg.com/storage/31688425848.pdf