한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제17권4호
  • /
  • Pages.550-556
  • /
  • 2007
  • /
  • 1976-9172(pISSN)
  • /
  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-procontinuous maps

  • Lee, Seok-Jeong (Department of Mathematics, Chungbuk National University) ;
  • Kim, Jin-Tae (Department of Mathematics, Chungbuk National University)
  • 발행 : 2007.08.25
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

In this paper, we introduce the concepts of fuzzy (r, s)-semi-preopen sets and fuzzy (r, s)-semi-precontinuous mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense. The relations among fuzzy (r, s)-semicontinuous, fuzzy (r, s)-precontinuous, and fuzzy (r, s)-semi-precontinuous mappings we discussed. The concepts of fuzzy (r, s)-semi-preinterior, fuzzy (r, s)-semi-preclosure, fuzzy (r, s)-semi-preneighborhood, and fuzzy (r, s)-quasi-semi-preneighborhood are given. Using these concepts, the characterization for the fuzzy (r, s)-semi-precontinuous mapping is obtained. Also, we introduce the notions of fuzzy (r, s)-semi-preopen and fuzzy (r, s)-semi-preclosed mappings on intuitionistic fuzzy topological spaces in ${\check{S}}ostak's$ sense, and then we 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, On intuitionistic fuzzy points, Notes IFS 1 (1995), no. 2, 79-84
  6. D. Coker and M. Demirci, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, BUSEFAL 67 (1996), 67-76
  7. H. Giircay, D. Coker, and A. Haydar Es, On fuzzy continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math. 5 (1997), 365-378
  8. I. M. Hanafy, Intuitionistic fuzzy functions, International Journal of Fuzzy Logic and Intelligent Systems 3 (2003), 200-205 https://doi.org/10.5391/IJFIS.2003.3.2.200
  9. Eun Pyo Lee, Semiopen sets on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 14 (2004), 234-238
  10. Seok Jong Lee and Jin Tae Kim, Fuzzy (r, s)irresolute maps, International Journal of Fuzzy Logic and Intelligent Systems 7 (2007), 49-57 https://doi.org/10.5391/IJFIS.2007.7.1.049
  11. Seok Jong Lee and Eun Pyo Lee, Fuzzy (r,s)semicontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense, J. Fuzzy Logic and Intelligent Systems 16 (2006), 108-112 https://doi.org/10.5391/JKIIS.2006.16.1.108
  12. Seung On Lee and Eun Pyo Lee, Fuzzy (r, s )-preopen sets, International Journal of Fuzzy Logic and Intelligent Systems 5 (2005), 136-139 https://doi.org/10.5391/IJFIS.2005.5.2.136
  13. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375 https://doi.org/10.1016/0165-0114(92)90352-5
  14. A. P. Sostak, On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Janos Palermo, Sr. II 11 (1985), 89-103
  15. S. S. Thakur and S. Singh, On fuzzy semi-preopen sets and fuzzy semi-precontinuity, Fuzzy Sets and Systems 98 (1998), 383-391 https://doi.org/10.1016/S0165-0114(96)00363-6