ITERATIVE APPROACH TO THE FORMATION OF ADJUSTABLE SCIENTIFIC METRICS BASED ON THE CONSIDERATION OF THE COMPLETE SET OF THE SCIENTIST’S WORK CITATIONS
The article describes the iterative principle of the scientometric indicators’ formation. This principle allows considering the full set of citations of all the scientist’s works. It makes possible to obtain citation indices with a simple and understandable geometric interpretation. The indices are expressed as a single number, which is convenient from the point of comparison of different scientists and formation of ratings. It is shown that the iterative principle is efficient, whereby a certain number of first jobs are allocated not in the increasing order of the citations number of the scientist’s works, citation number is averaged, these works are excluded from consideration and all procedures are repeated with a given way to select the first work at each iteration step. The method for separating the first work involves determining the chain base of intermediate indicators that are subsequently summed. Any number larger than or equal to h may be chosen as a basis. This number defines the Hirsch index value on each subset of the scientist’s work. The family of “adjustable” indices is proposed. The base for these indices is selected as ah number, where a is a set natural number. The iterative approach makes it possible to make an index “setting” and, if necessary, not to count low citation works or to count only a certain percentage of citations. This may be relevant for specific science subject areas and specific scientific or educational organizations.