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The Scientific World Journal
Volume 2014, Article ID 517039, 5 pages
http://dx.doi.org/10.1155/2014/517039
Research Article

A New Extended Soft Intersection Set to Implicative Fitters of BL-Algebras

1Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, China
2Department of Mathematics, Hanyang University, Seoul 133-791, Republic of Korea

Received 24 March 2014; Accepted 9 July 2014; Published 21 July 2014

Academic Editor: Guoyin Wang

Copyright © 2014 Jianming Zhan 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. 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
  2. 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
  3. M. I. Ali, M. Shabir, and M. Naz, “Algebraic structures of soft sets associated with new operations,” Computers & Mathematics with Applications, vol. 61, no. 9, pp. 2647–2654, 2011. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  4. F. Feng and Y. Li, “Soft subsets and soft product operations,” Information Sciences, vol. 232, pp. 44–57, 2013. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  5. 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
  6. M. Akram and F. Feng, “Soft intersection Lie algebras,” Quasigroups and Related Systems, vol. 21, no. 1, pp. 11–18, 2013. View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  7. Y. B. Jun, “Soft BCK/BCI-algebras,” Computers & Mathematics with Applications, vol. 56, no. 5, pp. 1408–1413, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  8. M. Shabir and A. Ali, “On soft ternary semigroups,” Annals of Fuzzy Mathematics and Informatics, vol. 3, no. 1, pp. 39–59, 2012. View at Google Scholar · View at MathSciNet
  9. N. Çağman and S. Enginoğlu, “Soft matrix theory and its decision making,” Computers & Mathematics with Applications, vol. 59, no. 10, pp. 3308–3314, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  10. N. Çağman and S. Enginoğlu, “Soft set theory and uni-int decision making,” European Journal of Operational Research, vol. 207, no. 2, pp. 848–855, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  11. F. Feng, Y. B. Jun, X. Liu, and L. Li, “An adjustable approach to fuzzy soft set based decision making,” Journal of Computational and Applied Mathematics, vol. 234, no. 1, pp. 10–20, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet · View at Scopus
  12. F. Feng, Y. Li, and N. Çağman, “Generalized uni-int decision making schemes based on choice value soft sets,” European Journal of Operational Research, vol. 220, no. 1, pp. 162–170, 2012. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  13. 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
  14. P. Hájek, Metamathematics of Fuzzy Logic, Kluwer Academic, Dordrecht, The Netherlands, 1998. View at Publisher · View at Google Scholar · View at MathSciNet
  15. E. Turunen, “BL-algebras of basic fuzzy logic,” Mathware & Soft Computing, vol. 6, no. 1, pp. 49–61, 1999. View at Google Scholar · View at MathSciNet
  16. L. Liu and K. Li, “Fuzzy filters of BL-algebras,” Information Sciences, vol. 173, no. 1–3, pp. 141–154, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  17. L. Lianzhen and L. Kaitai, “Fuzzy Boolean and positive implicative filters of BL-algebras,” Fuzzy Sets and Systems, vol. 152, no. 2, pp. 333–348, 2005. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  18. X. Ma and J. Zhan, “On (,q)-fuzzy filters of BL-algebras,” Journal of Systems Science and Complexity, vol. 21, pp. 144–158, 2008. View at Google Scholar
  19. J. Zhan and Y. Xu, “Some types of generalized fuzzy filters of BL-algebras,” Computers & Mathematics with Applications, vol. 56, no. 6, pp. 1604–1616, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  20. X. H. Zhang and X. S. Fan, “Pseudo-BL algebras and pseudo-effect algebras,” Fuzzy Sets and Systems, vol. 159, no. 1, pp. 95–106, 2008. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  21. X. H. Zhang and W. H. Li, “On pseudo-BL algebras and BCC-algebras,” Soft Computing, vol. 10, no. 10, pp. 941–952, 2006. View at Publisher · View at Google Scholar · View at Scopus
  22. Y. Yin and J. Zhan, “New types of fuzzy filters of BL-algebras,” Computers & Mathematics with Applications, vol. 60, no. 7, pp. 2115–2125, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  23. J. Zhan and Y. B. Jun, “Soft BL-algebras based on fuzzy sets,” Computers & Mathematics with Applications, vol. 59, no. 6, pp. 2037–2046, 2010. View at Publisher · View at Google Scholar · View at MathSciNet · View at Scopus
  24. N. Çağman, F. Citak, and H. Aktas, “Soft int-group and its applications to group theory,” Neural Computing and Applications, vol. 21, supplement 1, pp. 151–158, 2012. View at Publisher · View at Google Scholar
  25. A. Sezgin, A. O. Atagün, and N. Çaǧman, “Soft intersection near-rings with its applications,” Neural Computing and Applications, vol. 21, no. 1, pp. 221–229, 2012. View at Publisher · View at Google Scholar · View at Scopus
  26. Y. B. Jun and K. J. Lee, “(Positive) implicative filters of BL-algebras based on int-soft sets,” In press.
  27. X. Ma and H. S. Kim, “M,N-soft intersection BL-algebras and their congruences,” The Scientific World Journal, vol. 2014, Article ID 461060, 6 pages, 2014. View at Publisher · View at Google Scholar