Fractional Jensen-Shannon Analysis of the Scientific Output of Researchers in Fractional Calculus

被引：12
作者：
Tenreiro Machado, Jose A. [1 ]
Lopes, Antonio Mendes [2 ]
机构：
[1] Polytech Porto, Dept Elect Engn, Inst Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Oporto, Portugal
[2] Univ Porto, UISPA LAETA INEGI, Fac Engn, Rua Dr Roberto Frias, P-4200465 Oporto, Portugal
来源：
ENTROPY | 2017年 / 19卷 / 03期
关键词：
science metrics; fractional calculus; Canberra distance; generalized entropy; Jensen-Shannon divergence; multidimensional scaling; hierarchical clustering; H-INDEX; HIRSCH-INDEX;
D O I：
10.3390/e19030127
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper analyses the citation profiles of researchers in fractional calculus. Different metrics are used to quantify the dissimilarities between the data, namely the Canberra distance, and the classical and the generalized (fractional) Jensen-Shannon divergence. The information is then visualized by means of multidimensional scaling and hierarchical clustering. The mathematical tools and metrics allow for direct comparison and visualization of researchers based on their relative positioning and on patterns displayed in two-or three-dimensional maps.
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页数：11
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