Algorithms of modified Hirsch index for the formation of ratings of university teachers in terms of publications and their quotes
Objective: To suggest an algorithm for assessing the results of the scientific activity of a teacher drawing on published works and their quotes, which should make it possible to consider the total quoting of significant publications determined by the Hirsch algorithm. To create a more advanced approach to the effective assessment of scientists’ publication activities compared to the Hirsch number. Methods: A systematization approach is used to systematize the total citation array, by separating it into the following citation arrays: 1) the basic, defined Hirsch index; 2) significant publications; 3) intensity of work. The resulting arrays formed the basis of the creation of three indices: h – Hirsch’s index, g – an index of significant publications and p – intensive work index. These indexes allowed us to determine the Euclidean norms gh – the index of basic significant publications and hp – the intensive work index of a teacher. The above indices make it possible to differentiate the teachers’ publication activities and produce better ranking in the team. Results: The ratings of a team of authors formed by the sample from Russian Science Citation Index using the Hirsch index and the gh-index are built. It is shown that more efficient compared to the Hirsch index is the proposed approach. Practical importance: The described approach to the formation of the rating position of the authors of publications in the creative team is based on a simple calculation and comparison of the modified Hirsch indices