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Journal of Applied Mathematics
Volume 2012, Article ID 429737, 16 pages
http://dx.doi.org/10.1155/2012/429737
Research Article

Matroidal Structure of Rough Sets Based on Serial and Transitive Relations

Laboratory of Granular Computing, Zhangzhou Normal University, Zhangzhou 363000, China

Received 2 August 2012; Accepted 5 November 2012

Academic Editor: Hector Pomares

Copyright © 2012 Yanfang Liu and William Zhu. 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.

Citations to this Article [9 citations]

The following is the list of published articles that have cited the current article.

  • Yanfang Liu, and William Zhu, “Comparative study between extension of covering approximation space and its induction through transversal matroid,” Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 8170, pp. 225–235, 2013. View at Publisher · View at Google Scholar
  • Kai Zeng, and Kun She, “Variable precision neighborhood rough sets on two universes,” Proceedings - 2013 IEEE International Conference on Granular Computing, GrC 2013, pp. 418–422, 2013. View at Publisher · View at Google Scholar
  • Hua Yao, and William Zhu, “Applications of repeat degree to coverings of neighborhoods,” International Journal of Machine Learning and Cybernetics, 2014. View at Publisher · View at Google Scholar
  • Shiping Wang, William Zhu, Fan Min, and Qingxin Zhu, “Graph and matrix approaches to rough sets through matroids,” Information Sciences, vol. 288, no. 1, pp. 1–11, 2014. View at Publisher · View at Google Scholar
  • Hui Li, Yanfang Liu, and William Zhu, “Matroidal Structure of Generalized Rough Sets Based on Tolerance Relations,” The Scientific World Journal, vol. 2014, pp. 1–7, 2014. View at Publisher · View at Google Scholar
  • Yanfang Liu, and William Zhu, “On the matroidal structure of generalized rough set based on relation via definable sets,” International Journal of Machine Learning and Cybernetics, 2015. View at Publisher · View at Google Scholar
  • Serhan Coşar, and Müjdat Çetin, “Sparsity-Driven Bandwidth-Efficient Decentralized Tracking in Visual Sensor Networks,” Computer Vision and Image Understanding, 2015. View at Publisher · View at Google Scholar
  • Yanfang Liu, Hong Zhao, and William Zhu, “Parametric Matroid of Rough Set,” International Journal Of Uncertainty Fuzziness And Knowledge-Based Systems, vol. 23, no. 6, pp. 893–908, 2015. View at Publisher · View at Google Scholar
  • Yanfang Liu, William Zhu, Yanfang Liu, and William Zhu, “The Matroidal Structures of the Second Type of Covering-Based Rough Set,” Rough Sets And Knowledge Technology, Rskt 2015, vol. 9436, pp. 231–242, 2015. View at Publisher · View at Google Scholar