Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2012, Article ID 870504, 18 pages
http://dx.doi.org/10.1155/2012/870504
Research Article

Generalised Interval-Valued Fuzzy Soft Set

School of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi, Selangor, Malaysia

Received 6 August 2011; Revised 21 January 2012; Accepted 22 February 2012

Academic Editor: Ch. Tsitouras

Copyright © 2012 Shawkat Alkhazaleh and Abdul Razak Salleh. 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 and Mathematics with Applications, vol. 37, no. 4-5, pp. 19–31, 1999. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  2. P. K. Maji, R. Biswas, and A. R. Roy, “Soft set theory,” Computers and Mathematics with Applications, vol. 45, no. 4-5, pp. 555–562, 2003. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  3. P. K. Maji, A. R. Roy, and R. Biswas, “An application of soft sets in a decision making problem,” Computers and Mathematics with Applications, vol. 44, no. 8-9, pp. 1077–1083, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  4. A. R. Roy and P. K. Maji, “A fuzzy soft set theoretic approach to decision making problems,” Journal of Computational and Applied Mathematics, vol. 203, no. 2, pp. 412–418, 2007. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at Scopus
  5. 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 Zentralblatt MATH
  6. 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
  7. S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Soft multisets theory,” Applied Mathematical Sciences, vol. 5, no. 72, pp. 3561–3573, 2011. View at Google Scholar
  8. S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Fuzzy parameterized interval-valued fuzzy soft set,” Applied Mathematical Sciences, vol. 5, no. 67, pp. 3335–3346, 2011. View at Google Scholar
  9. S. Alkhazaleh, A. R. Salleh, and N. Hassan, “Possibility fuzzy soft set,” Advances in Decision Sciences, Article ID 479756, 18 pages, 2011. View at Google Scholar
  10. S. Alkhazaleh and A. R. Salleh, “Soft expert sets,” Advances in Decision Sciences, vol. 2011, 15 pages, 2011. View at Google Scholar
  11. A. R. Salleh, “From soft sets to intuitionistic fuzzy soft sets: a brief survey,” in Proceedings of the International Seminar on the Current Research Progress in Sciences and Technology (ISSTech '11), Universiti Kebangsaan Malaysia—Universitas Indonesia, Bandung, Indonesia, October 2011.
  12. P. Majumdar and S. K. Samanta, “Generalised fuzzy soft sets,” Computers and Mathematics with Applications, vol. 59, no. 4, pp. 1425–1432, 2010. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. X. Yang, T. Y. Lin, J. Yang, Y. Li, and D. Yu, “Combination of interval-valued fuzzy set and soft set,” Computers and Mathematics with Applications, vol. 58, no. 3, pp. 521–527, 2009. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  14. M. B. Gorzałczany, “A method of inference in approximate reasoning based on interval-valued fuzzy sets,” Fuzzy Sets and Systems, vol. 21, no. 1, pp. 1–17, 1987. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  15. L. A. Zadeh, “The concept of a linguistic variable and its application to approximate reasoning-I,” vol. 8, pp. 199–249, 1975. View at Google Scholar · View at Zentralblatt MATH