DOI QR코드

DOI QR Code

Filterness of Soft Sets

  • 투고 : 2011.11.19
  • 심사 : 2011.12.12
  • 발행 : 2011.12.25

초록

The notions of soft filters, ultra soft filters and bases of a soft filter are introduced and their basic properties are investigated. The adherence and convergence of soft filters in soft topological spaces with related results is also discussed.

키워드

참고문헌

  1. M.I. Ali, F. Feng, X. Liu, W.K. Min and M. Shabir, "On some new operations in soft set theory," Computers and Mathematics with Applications, vol. 57, no. 9, pp. 1547-1553, 2009. https://doi.org/10.1016/j.camwa.2008.11.009
  2. K. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, 1986. https://doi.org/10.1016/S0165-0114(86)80034-3
  3. K. Atanassov, Intuitionistic Fuzzy Sets, Physica- Verlag, Heidelberg, New York, 1999.
  4. N. Cagman, S. Karatas¸ and S. Enginoglu, "Soft topology," Computers and Mathematics with Applications, vol. 62, no. 1, pp. 351-358, 2011. https://doi.org/10.1016/j.camwa.2011.05.016
  5. W.L. Gau and D.J. Buehrer, "Vague sets," IEEE Transactions on Systems, Man and Cybernetics, vol. 23, no. 2, pp. 610-614, 1993. https://doi.org/10.1109/21.229476
  6. 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. https://doi.org/10.1016/S0898-1221(03)00016-6
  7. 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. https://doi.org/10.1016/S0898-1221(02)00216-X
  8. D. Molodtsov, "Soft set theory - first results," Computers and Mathematics with Applications, vol. 37, no. 4-5, pp. 19-31, 1999. https://doi.org/10.1016/S0898-1221(99)00056-5
  9. Z. Pawlak, Rough Sets: Theoretical Aspects of Reasoning about Data, Kluwer Academic Publishers, 1991.
  10. D. Pei and D. Miao, "From soft sets to information systems, Granular computing," 2005 IEEE International Conference, no. 2, 617-621, 2005.
  11. M. Shabir and M. Naz, "On soft topological spaces," Computers and Mathematics with Applications, vol. 61, no. 7, pp. 1786-1799, 2011. https://doi.org/10.1016/j.camwa.2011.02.006
  12. S.R.S. Varadhan, Probability Theory, American Mathematical Society, 2001.
  13. S. Willard, General Topology, Addison-Wesley Publishing Company, Reading Massachusetts, 1970.
  14. L.A. Zadeh, "Fuzzy sets," Inform Control, vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X