Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
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DOUBLE STRONGLY (r, s)(u, v)-SEMIOPEN SETS

  • Lee, Eun Pyo (Department of Clinical Laboratory Science Seonam University) ;
  • Lee, Seung On (Department of Mathematics Chungbuk National University)
  • Received : 2017.08.09
  • Accepted : 2017.10.17
  • Published : 2017.11.15
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Abstract

We introduce the concepts of double strongly (r, s)(u, v)-semiopen sets, double strongly (r, s)(u, v)-semiclosed sets and double pairwise strongly (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.

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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. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  3. 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
  4. D. Coker and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 3 (1995), 899-909.
  5. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL, 67 (1996), 67-76.
  6. 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
  7. H. Gurcay, D. Coker, and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378.
  8. A. Kandil, Biproximities and fuzzy bitopological spaces, Simon Stevin, 63 (1989), 45-66.
  9. E. P. Lee, ($T_i$, $T_j$)-fuzzy ${\alpha}$-(r, s)-semiopen sets and fuzzy pairwise ${\alpha}$-(r, s)-semicontinuous mappings, Bull. Korean Math. Soc. 39 (2002), 653-663.
  10. E. P. Lee and S. O. Lee, Double semiopen sets on double bitopological spaces, Journal of the Chungcheong Mathematical Society, 26 (2013), 691-702. https://doi.org/10.14403/jcms.2013.26.4.691
  11. E. P. Lee and S. O. Lee, Double (r, s)(u, v)-preopen sets, Journal of the Chungcheong Mathematical Society, 29 (2016), 13-22. https://doi.org/10.14403/jcms.2016.29.1.13
  12. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems, 48 (1992), 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  13. A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II, 11 (1985), 89-103.