Comparisons of Karcı and Shannon entropies and their effects on centrality of social networks

İhsan Tuğal and Ali Karcı

Physica A: Statistical Mechanics and its Applications, 2019, vol. 523, issue C, 352-363

Abstract: In order to measure the amount of different information in a system, entropy concept can be used. Graph entropy measures nodes’ contribution to the entropy of the graph. By this way, the influential actors can be identified. Due to this case, a new entropy-based method was proposed to identify the influential actors. Karcı entropy was applied to the social networks first time. The alpha parameter allowed us to combine many different conditions together when measuring in the network. The other important contribution of this paper is to predict the value of alpha parameter of Karcı entropy by using fuzzy logic. After that Karcı and Shannon entropies were compared based on experimental results. Moreover, Karcı entropy was compared to traditional centrality measures. If Karcı entropy definition is considered as a set of entropies, Shannon entropy can be regarded as an element of this set. Accordingly, it can be concluded that Karcı entropy is superior to Shannon entropy.

Keywords: Social networks; Graph entropy; Karcı entropy; Shannon entropy; Fuzzy logic (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437119301797
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:523:y:2019:i:c:p:352-363

DOI: 10.1016/j.physa.2019.02.026

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().