Entropy Analysis of Soccer Dynamics

• Type: Article in International Scientific Journal
• Date: 2019

Authors

António Mendes Lopes (Author) FEUP; J. A. Tenreiro Machado (Author) Other

Journal

Title: Entropy

Vol. 21 No. 2

Pages: 1-14

ISSN: 1099-4300

Publisher: MDPI

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 14 Citations

Other information

Authenticus ID: P-00Q-99X

DOI: 10.3390/e21020187

Abstract (EN): This paper adopts the information and fractional calculus tools for studying the dynamics of a national soccer league. A soccer league season is treated as a complex system (CS) with a state observable at discrete time instants, that is, at the time of rounds. The CS state, consisting of the goals scored by the teams, is processed by means of different tools, namely entropy, mutual information and Jensen-Shannon divergence. The CS behavior is visualized in 3-D maps generated by multidimensional scaling. The points on the maps represent rounds and their relative positioning allows for a direct interpretation of the results.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14