The $h$-index, proposed by J.E. Hirsch (2005) is among the most popular scientific impact indicators. An author who has published $n$ papers has the Hirsch index equal to $H$, if each of his $H$ publications were cited at least $H$ times, and each of the remaining $n-H$ items were cited no more than $H$ times. This simple bibliometric tool quickly received much attention in the academic community and started to be a subject of intensive research. It was noted that, contrary to earlier approaches, i.e. publication count, citation count, etc., this measure concerns both productivity and impact of an individual. In a broader perspective, this issue is a special case of the so-called Producer Assessment Problem (PAP; see Gagolewski, Grzegorzewski, 2010b).
Consider a producer (e.g. a writer, scientist, artist, craftsman) and a nonempty set of his products (e.g. books, papers, works, goods). Suppose that each product is given a rating (of quality, popularity, etc.) which is a single number in $I=[a,b]$, where $a$ denotes the lowest admissible valuation. We typically choose $I=[0,\infty]$ (an interval in the extended real line). Some instances of the PAP are listed below.
Each possible state of producer's activity can therefore be represented by a point $x\in I^n$ for some $n$. Our aim is thus to construct and analyze --- both theoretically and empirically --- aggregation operators (cf. Grabisch et al, 2009) which can be used for rating producers. A family of such functions should take the two following aspects of producer's quality into account:
lbsCreate function.The data frames Scopus_ASJC and Scopus_SourceList
contain various information on current source coverage of SciVerse Scopus.
They may be needed during the creation of the LBS and lbsCreate
for more details.
License information: this data are publicly available
and hence no special permission is needed to redistribute them
(information from Elsevier).
Scopus_ReadCSV). Note that the output limit in Scopus
is 2000 entries per file. Therefore, to perform
bibliometric research we often need to divide the query results
into many parts.
The data may be accessed via functions from the lbsDescriptiveStats (basic description of the whole sample
or its subsets, called lbsGetCitations (gather citation sequences selected
authors), and lbsAssess (mass-compute impact functions'
values for given citation sequences).
There are also some helpful functions (in **EXPERIMENTAL** stage) which use
the lbsFindDuplicateTitles and
lbsFindDuplicateAuthors.
For a complete list of functions, call library(help="CITAN").
Keywords: Hirsch's h-index, Egghe's g-index, L-statistics,
S-statistics, bibliometrics, scientometrics, informetrics,
webometrics, aggregation operators, arity-monotonicity,
impact functions, impact assessment.