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 and document count can be also manipulated over the period of time. To resolve this issue, 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.