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The Scientific World Journal
Volume 2014 (2014), Article ID 970893, 9 pages
http://dx.doi.org/10.1155/2014/970893
Research Article

Soft Covering Based Rough Sets and Their Application

1Department of Mathematics, Faculty of Science, Selçuk University, 42003 Konya, Turkey
2Department of Mathematics, Faculty of Science and Art, Ahi Evran University, 40100 Kırşehir, Turkey
3Department of Mathematics, Faculty of Science and Art, Niğde University, 51100 Niğde, Turkey

Received 6 June 2014; Accepted 10 August 2014; Published 9 September 2014

Academic Editor: Feng Feng

Copyright © 2014 Şaziye Yüksel et al. 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.

Linked References

  1. L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, pp. 338–353, 1965. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  2. Z. Pawlak, “Rough sets,” International Journal of Computer and Information Sciences, vol. 11, no. 5, pp. 341–356, 1982. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  3. D. Molodtsov, “Soft set theory—first results,” Computers &; Mathematics with Applications, vol. 37, no. 4-5, pp. 19–31, 1999. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. W. Zhu and F. Wang, “On three types of covering-based rough sets,” IEEE Transactions on Knowledge and Data Engineering, vol. 19, no. 8, pp. 1131–1143, 2007. View at Publisher · View at Google Scholar · View at Scopus
  5. W. Zhu, “Topological approaches to covering rough sets,” Information Sciences, vol. 177, no. 6, pp. 1499–1508, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  6. P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers & Mathematics with Applications, vol. 45, no. 4-5, pp. 555–562, 2003. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  7. M. I. Ali, F. Feng, X. Liu, W. Min, and M. Shabir, “On some new operations in soft set theory,” Computers & Mathematics with Applications, vol. 57, no. 9, pp. 1547–1553, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. X. Ge and S. Yang, “Investigations on some operations of soft sets, World Academy of Science,” Engineering and Technology, vol. 5, no. 3, pp. 869–872, 2011. View at Google Scholar
  9. X. Ge, Z. Li, and Y. Ge, “Topological spaces and soft sets,” Journal of Computational Analysis and Applications, vol. 13, no. 5, pp. 881–885, 2011. View at Google Scholar · View at MathSciNet
  10. H. Aktaş and N. Çağman, “Soft sets and soft groups,” Information Sciences, vol. 177, no. 13, pp. 2726–2735, 2007. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. F. Feng, C. Li, B. Davvaz, and M. I. Ali, “Soft sets combined with fuzzy sets and rough sets: a tentative approach,” Soft Computing, vol. 14, no. 9, pp. 899–911, 2010. View at Publisher · View at Google Scholar · View at Scopus
  12. F. Feng, X. Liu, V. Leoreanu-Fotea, and J. B. Young, “Soft sets and soft rough sets,” Information Sciences, vol. 181, no. 6, pp. 1125–1137, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. F. Feng, “Soft rough sets applied to multicriteria group decision making,” Annals of Fuzzy Mathematics and Informatics, vol. 2, no. 1, pp. 69–80, 2011. View at Google Scholar · View at MathSciNet
  14. W. J. Catalona, A. W. Partin, K. M. Slawin et al., “Use of the percentage of free prostate-specific antigen to enhance differentiation of prostate cancer from benign prostatic disease: a prospective multicenter clinical trial,” Journal of the American Medical Association, vol. 279, no. 19, pp. 1542–1547, 1998. View at Publisher · View at Google Scholar · View at Scopus
  15. S. Egawa, S. Soh, M. Ohori et al., “The ratio of free to total serum prostate specific antigen and its use in differential diagnosis of prostate carcinoma in Japan,” Cancer, vol. 79, no. 1, pp. 90–98, 1997. View at Google Scholar
  16. P. J. Van Cangh, P. De Nayer, P. Sauvage et al., “Free to total prostate-specific antiden (PSA) ratio is superior to total PSA in differentiating benign prostate hypertrophy from prostate cancer,” The Prostate, vol. 29, pp. 30–34, 1996. View at Google Scholar
  17. C. Mettlin, F. Lee, J. Drago, and G. P. Murphy, “The American cancer society national prostate cancer detection, project: findings on the detection of early prostate cancer in 2425 men,” Cancer, vol. 67, no. 12, pp. 2949–2958, 1991. View at Publisher · View at Google Scholar · View at Scopus
  18. H. P. Nguyen and V. Kreinovich, “Fuzzy logic and its applications in medicine,” International Journal of Medical Informatics, vol. 62, no. 2-3, pp. 165–173, 2001. View at Publisher · View at Google Scholar · View at Scopus
  19. H. Seker, M. O. Odetayo, D. Petrovic, and R. N. G. Naguib, “A fuzzy logic based-method for prognostic decision making in breast and prostate cancers,” IEEE Transactions on Information Technology in Biomedicine, vol. 7, no. 2, pp. 114–122, 2003. View at Publisher · View at Google Scholar · View at Scopus
  20. D. Chen, E. C. C. Tsang, and D. S. Yeung, “The parameterization reduction of soft sets and its applications,” Computers & Mathematics with Applications, vol. 49, no. 5-6, pp. 757–763, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. Y. Zou and Z. Xiao, “Data analysis approaches of soft sets under incomplete information,” Knowledge-Based Systems, vol. 21, no. 8, pp. 941–945, 2008. View at Publisher · View at Google Scholar · View at Scopus
  22. P. K. Maji, R. Biswas, and A. R. Roy, “Fuzzy soft sets,” Journal of Fuzzy Mathematics, vol. 9, no. 3, pp. 589–602, 2001. View at Google Scholar · View at MathSciNet
  23. T. Simsekler and S. Yuksel, “Fuzzy soft topological spaces,” Annals of Fuzzy Mathematics and Informatics, vol. 5, no. 1, pp. 87–96, 2013. View at Google Scholar · View at MathSciNet