Table of Contents Author Guidelines Submit a Manuscript
The Scientific World Journal
Volume 2014 (2014), Article ID 437324, 5 pages
http://dx.doi.org/10.1155/2014/437324
Research Article

Cyclic Soft Groups and Their Applications on Groups

1Department of Mathematics, Faculty of Science, Erciyes University, 38039 Kayseri, Turkey
2Kilis 7 Aralık University, 79000 Kilis, Turkey

Received 20 May 2014; Accepted 30 June 2014; Published 15 July 2014

Academic Editor: Naim Cagman

Copyright © 2014 Hacı Aktaş and Şerif Özlü. 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 Computation, vol. 8, pp. 338–353, 1965. View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  2. W. Gau and D. J. Buehrer, “Vague sets,” IEEE Transactions on Systems, Man and Cybernetics, vol. 23, no. 2, pp. 610–614, 1993. View at Publisher · View at Google Scholar · View at Scopus
  3. 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
  4. 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
  5. P. K. Maji, A. R. Roy, and R. Biswas, “An application of soft sets in a decision making problem,” Computers & Mathematics with Applications, vol. 44, no. 8-9, pp. 1077–1083, 2002. 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. D. Chen, E. C. C. Tsang, D. S. Yeung, and X. Wang, “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
  8. A. Rosenfeld, “Fuzzy groups,” Journal of Mathematical Analysis and Applications, vol. 35, pp. 512–517, 1971. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  9. R. Biswas and S. Nanda, “Rough groups and rough subgroups,” Bulletin of the Polish Academy of Sciences Mathematics, vol. 42, no. 3, pp. 251–254, 1994. View at Google Scholar · View at MathSciNet
  10. Z. Bonikowski, “Algebraic structures of rough sets,” in Rough Sets, Fuzzy Sets and Knowledge Discovery, W. P. Ziarko, Ed., pp. 242–247, Springer, Berlin, Germany, 1994. View at Google Scholar · View at MathSciNet
  11. T. B. Iwinski, “Algebraic approach to rough sets,” Bulletin of the Polish Academy of Sciences Mathematics, vol. 35, no. 9-10, pp. 673–683, 1987. View at Google Scholar · View at MathSciNet
  12. S. Abdullah, M. Aslam, T. A. Khan, and M. Naeem, “A new type of fuzzy normal subgroups and fuzzy cosets,” Journal of Intelligent & Fuzzy Systems, vol. 25, no. 1, pp. 37–47, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. S. Abdullah, M. Aslam, T. A. Khan, and M. Naeem, “A note on ordered semigroups characterized by their ((ϵ, ϵ Vq)),” UPB Scientific Bulletin A, vol. 75, pp. 41–44, 2013. View at Google Scholar
  14. 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
  15. Y. B. Jun and C. H. Park, “Applications of soft sets in ideal theory of BCK/BCI-algebras,” Information Sciences, vol. 178, no. 11, pp. 2466–2475, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  16. U. Acar, F. Koyuncu, and B. Tanay, “Soft sets and soft rings,” Computers & Mathematics with Applications, vol. 59, no. 11, pp. 3458–3463, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. A. Aygünoǧlu and H. Aygün, “Introduction to fuzzy soft groups,” Computers and Mathematics with Applications, vol. 58, no. 6, pp. 1279–1286, 2009. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. A. O. Atagün and A. Sezgin, “Soft substructures of rings, fields and modules,” Computers & Mathematics with Applications, vol. 61, no. 3, pp. 592–601, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus