Possibilistic analysis of arity-monotonic aggregation operators and its relation to bibliometric impact assessment of individuals

Marek Gągolewski , Przemysław Grzegorzewski


A class of arity-monotonic aggregation operators, called impact functions, is proposed. This family of operators forms a theoretical framework for the so-called Producer Assessment Problem, which includes the scientometric task of fair and objective assessment of scientists using the number of citations received by their publications. The impact function output values are analyzed under right-censored and dynamically changing input data. The qualitative possibilistic approach is used to describe this kind of uncertainty. It leads to intuitive graphical interpretations and may be easily applied for practical purposes. The discourse is illustrated by a family of aggregation operators generalizing the well-known Ordered Weighted Maximum (OWMax) and the Hirsch h-index.
Author Marek Gągolewski (FMIS / DSPFM)
Marek Gągolewski,,
- Department of Stochastic Processes and Financial Mathematics
, Przemysław Grzegorzewski (FMIS / DSPFM)
Przemysław Grzegorzewski,,
- Department of Stochastic Processes and Financial Mathematics
Journal seriesInternational Journal of Approximate Reasoning, ISSN 0888-613X, (A 25 pkt)
Issue year2011
Keywords in EnglishAggregation operators, h-index, OWMax, Possibility theory, S-statistics
ASJC Classification2604 Applied Mathematics; 1702 Artificial Intelligence; 2614 Theoretical Computer Science; 1712 Software
URL http://www.sciencedirect.com/science/article/pii/S0888613X1100034X
Score (nominal)25
Score sourcejournalList
Publication indicators WoS Citations = 15; Scopus Citations = 17; Scopus SNIP (Source Normalised Impact per Paper): 2011 = 2.223; WoS Impact Factor: 2011 = 1.948 (2) - 2011=2.155 (5)
Citation count*18 (2015-09-07)
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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.
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