한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제21권2호
  • /
  • Pages.244-249
  • /
  • 2011
  • /
  • 1976-9172(pISSN)
  • /
  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Fuzzy Pairwise β-(r, s)-continuous Mappings

  • Lee, Eun-Pyo (Department of Mathematics, Seonam University) ;
  • Lee, Seung-On (Department of Mathematics, Chungbuk National University)
  • 투고 : 2011.03.15
  • 심사 : 2011.04.15
  • 발행 : 2011.04.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

We introduce the concepts of fuzzy pairwise ${\beta}$-(r, s)-continuous mappings and fuzzy pairwise ${\beta}$-(r, s)-open mappings in smooth bitopological spaces and then we investigate some of their characteristic properties.

키워드

참고문헌

  1. C. L. Chang, ”Fuzzy topological spaces,” J. Math. Anal. Appl., vol. 24, pp. 182-190, 1968. https://doi.org/10.1016/0022-247X(68)90057-7
  2. K. C. Chattopadhyay, R. N. Hazra, and S. K. Samanta, "Gradation of openness : Fuzzy topology," Fuzzy Sets and Systems, vol. 49, 237-242, 1992. https://doi.org/10.1016/0165-0114(92)90329-3
  3. A. Kandil, ”Biproximities and fuzzy bitopological spaces,” Simon Stevin, vol. 63, pp. 45-66. 1989.
  4. E. P. Lee, ”Pairwise semicontinuous mappings in smooth bitopological spaces,” Journal of Fuzzy Logic and Intelligent Systems, vol. 12, pp. 268-274, 2002.
  5. E. P. Lee, ”Preopen sets in smooth bitopological spaces,” Commun. Korean Math. Soc., vol. 18, pp. 521-532, 2003. https://doi.org/10.4134/CKMS.2003.18.3.521
  6. S. O. Lee and E. P. Lee, ”Fuzzy $\beta$-(r, s)-open sets in smooth bitopological spaces,” International J. Fuzzy Logic and Intelligent Systems, vol. 10, no. 2, pp. 119-123, 2010. https://doi.org/10.5391/IJFIS.2010.10.2.119
  7. A. A. Ramadan, ”Smooth topological spaces”, Fuzzy Sets and Systems, vol. 48, pp. 371-375, 1992. https://doi.org/10.1016/0165-0114(92)90352-5
  8. A. P. Sostak, ”On a fuzzy topological structure,” Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II, vol. 11, pp. 89-103, 1985.
  9. L. A. Zadeh, ”Fuzzy sets,” Information and Control, vol. 8, pp. 338-353, 1965. https://doi.org/10.1016/S0019-9958(65)90241-X