DOI QR코드

DOI QR Code

DOUBLE SEMIOPEN SETS ON DOUBLE BITOPOLOGICAL SPACES

  • Lee, Eun Pyo (Department of Clinical Laboratory Science Seonam University) ;
  • Lee, Seung On (Department of Mathematics Chungbuk National University)
  • 투고 : 2013.05.05
  • 심사 : 2013.08.01
  • 발행 : 2013.11.15

초록

We introduce the concepts of double bitopological spaces as a generalization of intuitionistic fuzzy topological spaces in $\check{S}$ostak's sense and Kandil's fuzzy bitopological spaces. Also we introduce the concept of (${\tau}^{{\mu}{\gamma}}$, $U^{{\mu}{\gamma}}$)-double (r, s)(u, v)-semiopen sets and double pairwise (r, s)(u, v)-semicontinuous mappings in double bitopological spaces and investigate some of their characteristic properties.

키워드

참고문헌

  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, 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
  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 and A. Haydar Es, On fuzzy compactness in intuitionistic fuzzy topo-logical spaces, J. Fuzzy Math. 3 (1995), 899-909.
  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 and S. O. Lee, Fuzzy intuitionistic almost (r, s)-continuous mappings, Journal of The Chungcheong Mathematical Society 26 (2013), 125-135. https://doi.org/10.14403/jcms.2013.26.1.125
  10. S. O. Lee and E. P. Lee, Fuzzy pairwise (r, s)-irresolute mappings, International Journal of Fuzzy Logic and Intelligent Systems 9 (2009), 105-109. https://doi.org/10.5391/IJFIS.2009.9.2.105
  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.

피인용 문헌

  1. DOUBLE PAIRWISE (r, s)(u, v)-SEMICONTINUOUS MAPPINGS vol.27, pp.4, 2014, https://doi.org/10.14403/jcms.2014.27.4.603
  2. DOUBLE (r, s)(u, v)-PREOPEN SETS vol.29, pp.1, 2016, https://doi.org/10.14403/jcms.2016.29.1.13
  3. DOUBLE PAIRWISE (r, s)(u, v)-PRECONTINUOUS MAPPINGS vol.30, pp.1, 2013, https://doi.org/10.14403/jcms.2017.30.1.1
  4. DOUBLE STRONGLY (r, s)(u, v)-SEMIOPEN SETS vol.30, pp.4, 2017, https://doi.org/10.14403/jcms.2017.30.4.423