Discrimination measurement method on H-index and G-index using Jain's fairness index

In this paper observes discrimination of the well-known indices, H-index and G-index. There are many definitions of impact of the researchers in the literature, such as citations, patents, books, source codes of the open source, and social media. H-index is an alternative tool to measure performance of the researchers. Because most of the database indexers use H-index to provide the figure of the researcher performance, so that H-index many used for comparing the study progress among students or for considering research funding. On the other hand, it was found that H-index has some weaknesses for calculating the researchers who have a few papers with the high number of citations, and those with more papers but few citations. Many proposals suggested index variants to improve the H-index calculation method. No other indices substitute the H-index, because the correlation of the other indices to the H-index is still relatively high. In this work, we propose a discrimination tool to show the discriminate of the H-index. The discrimination tool method based on Jain's fairness index. Two indexing methods H-index and G-index are used as samples to compare the discrimination. To prove the effectiveness of the propose method uses the citation set data of 1,000 researchers gained from Scopus by application programming interface (API). We find that the discrimination of the H-index has the average of 23.16% and 14.66% for G-Index for H-index range 1-216. We find that the discriminator tool as an alternative tool for accommodating the discrimination calculation of the indices.