Recent time handling uncertainty and its measurement is considered as one of the major issues by data science and applied mathematics researchers. It becomes more complex when the dynamicity exists in data sets. One of the suitable examples is Scopus data sets which changes every time. In this case, precise measurement of consistency in document and citation publications is considered as one of the issues. It becomes more complex when the parameter like h-index can be also manipulated over the period of time. To resolve this issues, a time based index called as “t-index” is illustrated in this paper with an example. This method measures the randomness in document publication and citation using the average h-index and its entropy measurement.

Dr. Prem Kumar Singh has more than 12 Years of experience in teaching, research and academics. At present he works 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 has completed a Post-Doc in Computer Science from Faculty of Computer Science and Information Technology, University of Malaya-Kuala Lumpur which was fully funded by HIR Lab Malaysian Govt of Higher Education. He holds a PhD degree in Computer Science from School of Information Technology and Engineering, VIT University-Vellore which was fully funded by NBHM Department of Atomic Energy, Govt of India. 
His research interests are graph theory, uncertainty measurement and its mathematical modelling for knowledge processing tasks. Towards this direction, he has published more than 85 peer reviewed conferences and Journals which received more than 1443 citations, 24 H-index and 38 i10 papers. He has introduced Complex fuzzy context, Plithogenic Context, Turiyam set and t-index as Frontier researchers. He served as more than 200 conferences as TPC, Reviewer, Guest Editor, Editorial board member and Speaker. He is Editor-In-Chief for “Journal of Neutrosophic and Fuzzy Systems” and Associate Editor for “Journal of Artificial Intelligence and Technology”.  He is listed as top 2% Scientist by Stanford University in 2020 and 2021 as well in the given research field.