Recently, the mathematics of Turiyam set is introduced for dealing the uncertainty in data sets beyond acceptation, rejection and uncertain parts.  This set given a way to deal the data set with human cognition and its awareness rather than just via quantity representation. Due to which recently, mathematical algebra of Turiyam Modules, Rings, Matrices and Space is studied recently. In this process a problem is addressed while characterization of data sets in Turiyam geometry. It is indeed required to study Turiyam geometry and its dynamicity to understand the pattern in the given data sets. To achieve this goal, this talk will focus on discussing those non-Euclidean data sets which can be represented via Turiyam geometry. Some of the illustrative examples for the proposed method will be also discussed for better understanding.

Dr. Prem Kumar Singh is working as an Associate Professor at Department of Computer Science and Engineering, Gandhi Institute of Technology and Management-Visakhapatnam, Andhra Pradesh-India. Prior to that, he worked as capacity of as an Assistant Professor at Amity School of Engineering and Technology, Amity University-Noida Sector 125. He holds a Post-Doc from Faculty of Computer Science and Information Technology, University of Malaya-Kuala Lumpur and a PhD degree in Computer Science from School of Information Technology and Engineering, VIT University-Vellore. His 13 years experience most of them focused on soft computing, complex data analysis, graph theory, and mathematical modelling. In this direction bipolar, three-polar, m-polar, complex, t-index, Plithogenic and Turiyam graph is introduced by him as frontier researcher which was accepted by more than 85 peer reviewed conferences and Journals. His works received more than 1472 citations, 24 H-index, 38 i10 papers, and a copyright. He served as Technical Program Committee, Reviewer, Guest Editor, Editorial board member as well as Speaker for more than 200 peer reviewed conferences and journals. Currently, he is the Principal Investigator for the research project “Investigating the expertise analysis of an Institute using Scopus data Set and its metric” Ref. 2021/0050. He is Editor-In-Chief for “Journal of Neutrosophic and Fuzzy Systems” and Associate Editor for “Journal of Artificial Intelligence and Technology”.  He is also listed as top 2% Scientist by Stanford University in 2020 and 2021.