International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

Intuitionistic Fuzzy δ-continuous Functions

  • Eom, Yeon Seok (Department of Mathematics, Chungbuk National University) ;
  • Lee, Seok Jong (Department of Mathematics, Chungbuk National University)
  • Received : 2013.12.02
  • Accepted : 2013.12.23
  • Published : 2013.12.25
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we characterize the intuitionistic fuzzy ${\delta}$-continuous, intuitionistic fuzzy weakly ${\delta}$-continuous, intuitionistic fuzzy almost continuous, and intuitionistic fuzzy almost strongly ${\theta}$-continuous functions in terms of intuitionistic fuzzy ${\delta}$-closure and interior or ${\theta}$-closure and interior.

Keywords

References

  1. K. T. Atanassov, "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87-96, Aug. 1986. http://dx.doi.org/10.1016/S0165-0114(86)80034-3
  2. D. Coker, "An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces," Journal of Fuzzy Mathematics, vol. 4, no. 4, pp. 749-764, Dec. 1996.
  3. D. Coker, "An introduction to intuitionistic fuzzy topological spaces," Fuzzy Sets and Systems, vol. 88, no. 1, pp. 81-89, May 1997. http://dx.doi.org/10.1016/S0165-0114(96)00076-0
  4. D. Coker, "On intuitionistic fuzzy points," Notes on Intuitionistic Fuzzy Sets, vol. 1, no. 2, pp. 79-84, 1995.
  5. D. Sivaraj, "Semiopen set characterizations of almostregular spaces," Glasnik Matematicki Series III, vol. 21, no. 2, pp. 437-440, 1986.
  6. A. A. Ramadan, "Smooth topological spaces," Fuzzy Sets and Systems, vol. 48, no. 3, pp. 371-375, Jun. 1992. http://dx.doi.org/10.1016/0165-0114(92)90352-5
  7. H. Gurcay, D. Coker, and A. H. Es, "On fuzzy continuity in intuitionistic fuzzy topological spaces," Journal of Fuzzy Mathematics, vol. 5, no. 2, pp. 365-378, Jun. 1997.
  8. S. J. Lee and E. P. Lee, "The category of intuitionistic fuzzy topological spaces," Bulletin of the Korean Mathematical Society, vol. 37, no. 1, pp. 63-76, 2000.
  9. S. J. Lee and J. T. Kim, "Properties of fuzzy (, s)-semiirresolute mappings in intuitionistic fuzzy topological spaces," International Journal of Fuzzy Logic and Intelligent Systems, vol. 11, no. 3, pp. 190-196, Sep. 2011. http://dx.doi.org/10.5391/IJFIS.2011.11.3.190
  10. I. M. Hanafy, "On fuzzy -open sets and fuzzy -continuity in intuitionistic fuzzy topological spaces," Journal of Fuzzy Mathematics, vol. 10, no. 1, pp. 9-19, Mar. 2002.
  11. T. K. Mondal and S. K. Samanta, "On intuitionistic gradation of openness," Fuzzy Sets and Systems, vol. 131, no. 3, pp. 323-336, Nov. 2002. http://dx.doi.org/10.1016/S0165-0114(01)00235-4
  12. I. M. Hanafy, "Intuitionistic fuzzy functions," International Journal of Fuzzy Logic and Intelligent Systems, vol. 3, no. 2, pp. 200-205, Dec. 2003. http://dx.doi.org/10.5391/IJFIS.2003.3.2.200
  13. I. M. Hanafy, A. M. Abd El-Aziz, and T. M. Salman, "Intuitionistic fuzzy -closure operator," Boletn de la Asociacin Matemtica Venezolana, vol. 13, no. 1, pp. 27-39, 2006.
  14. M. N. Mukherjee and S. P. Sinha, "On some near-fuzzy continuous functions between fuzzy topological spaces," Fuzzy Sets and Systems, vol. 34, no. 2, pp. 245-254, Jan. 1990. http://dx.doi.org/10.1016/0165-0114(90)90163-Z
  15. M. N. Mukherjee and S. P. Sinha, "Fuzzy ${\theta}$-closure operator on fuzzy topological spaces," International Journal of Mathematics and Mathematical Sciences, vol. 14, no. 2, pp. 309-314, 1991. http://dx.doi.org/10.1155/S0161171291000364
  16. S. J. Lee and Y. S. Eoum, "Intuitionistic fuzzy -closure and -interior," Communications of the Korean Mathematical Society, vol. 25, no. 2, pp. 273-282, Apr. 2010. http://dx.doi.org/10.4134/CKMS.2010.25.2.273
  17. Y. S. Eom and S. J. Lee, "Delta closure and delta interior in intuitionistic fuzzy topological spaces," International Journal of Fuzzy Logic and Intelligent Systems, vol. 12, no. 4, pp. 290-295, Dec. 2012. http://dx.doi.org/10.5391/IJFIS.2012.12.4.290
  18. S. Ganguly and S. Saha, "A note on ${\delta}$-continuity and ${\delta}$-connected sets in fuzzy set theory," Simon Stevin (A Quarterly Journal of Pure and Applied Mathematics), vol. 62, no. 2, pp. 127-141, 1988.