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Journal of Applied Mathematics
Volume 2014 (2014), Article ID 452063, 8 pages
Research Article

Structural Holes in Directed Fuzzy Social Networks

School of Management, Guangdong University of Technology, No. 161 Yinglong Road, Tianhe District, Guangzhou 510520, China

Received 9 October 2013; Revised 30 December 2013; Accepted 31 December 2013; Published 25 February 2014

Academic Editor: Reinaldo Martinez Palhares

Copyright © 2014 Renjie Hu and Guangyu Zhang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


The structural holes have been a key issue in fuzzy social network analysis. For undirected fuzzy social networks where edges are just present or absent undirected fuzzy relation and have no more information attached, many structural holes measures have been presented, such as key fuzzy structural holes, general fuzzy structural holes, strong fuzzy structural holes, and weak fuzzy structural holes. There has been a growing need to design structural holes measures for directed fuzzy social networks, because directed fuzzy social networks where edges are attached by directed fuzzy relation would contain rich information. In this paper, we extend structural holes theory to directed fuzzy social network and propose the algorithm of unidirectional fuzzy structural holes and bidirectional fuzzy structural holes, which unveil more structural information of directed fuzzy social networks. Furthermore, we investigate the validness of the algorithm by illustrating this method to a case called G-Y Research Team and obtain reliable results, which provide strong evidences of the new measure’s utility.