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DOI QR Code

FUZZY ALMOST STRONGLY (r, s)-SEMIOPEN AND SEMICLOSED MAPPINGS

  • Kim, Jin Tae (Department of Mathematics Chungbuk National University) ;
  • Lee, Seok Jong (Department of Mathematics Chungbuk National University)
  • Received : 2014.11.25
  • Accepted : 2015.03.05
  • Published : 2015.03.30

Abstract

In this paper, we introduce the concepts of fuzzy almost strongly (r, s)-semiopen and semiclosed mappings on intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense, and investigate some of their characteristic properties.

Keywords

References

  1. K. T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96. https://doi.org/10.1016/S0165-0114(86)80034-3
  2. Shi-Zhong Bai, Fuzzy almost strong semicontinuous mappings, Bulletin for Studies and Exchanges on Fuzziness and its Applications 62 (1995), 89-93.
  3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  4. K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, Gradation of openness : Fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242. https://doi.org/10.1016/0165-0114(92)90329-3
  5. D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89. https://doi.org/10.1016/S0165-0114(96)00076-0
  6. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76.
  7. Eun Pyo Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238.
  8. Seok Jong Lee and Jin Tae Kim, Fuzzy (r, s)-irresolute maps, International Journal of Fuzzy Logic and Intelligent Systems 7 (2007) (1), 49-57. https://doi.org/10.5391/IJFIS.2007.7.1.049
  9. Seok Jong Lee and Jin Tae Kim, Fuzzy almost (r, s)-semicontinuous mappings, Commun. Math. Math. Sci. 6 (2010), 1-9.
  10. Seung On Lee and Eun Pyo Lee, Fuzzy strongly (r, s)-semiopen sets, International Journal of Fuzzy Logic and Intelligent Systems 6 (2006), no. 4, 299-303. https://doi.org/10.5391/IJFIS.2006.6.4.299
  11. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  12. A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II 11 (1985), 89-103.
  13. L. A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X

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