International Journal of Fuzzy Logic and Intelligent Systems

Korean Institute of Intelligent Systems (한국지능시스템학회)
권호 표지
DOI QR코드

DOI QR Code

R-fuzzy F-closed Spaces

  • Zahran A. M. (Department of mathematics, Faculty of science, Al Azhar university) ;
  • Abd-Allah M. Azab (Department of mathematics, Faculty of science, Assuit university) ;
  • El-Rahman A. G. Abd (Department of mathematics, Faculty of science, South valley university)
  • Published : 2006.09.01
Download PDF
⟨ Previous Next ⟩

Abstract

In this paper, we introduce the concepts of ${\gamma}$-fuzzy feebly open and ${\gamma}$-fuzzy feebly closed sets in Sostak's fuzzy topological spaces and by using them, we explain the notions of ${\gamma}$-fuzzy F-closed spaces. Also, we give some characterization of ${\gamma}$-fuzzy F-closedness in terms of fuzzy filterbasis and ${\gamma}$-fuzzy feebly-${\theta}$-cluster points.

Keywords

References

  1. S. E. Abbas; Fuzzy super irresulate function, Int. J. Math. Math. Sci., 42(2003), 2689-2700
  2. Y. C. Kim, A. A. Ramadan, S. E. Abbas; Weaker forms of continuity in Sostak's fuzzy topology, Indian J. Pure Apll. Math., 34 (2003), 311-33
  3. Y. C. Kim, A. A. Ramadan, S. E. Abbas: r-Fuzzy Strongly Preopen sets in fuzzy topological spaces, Math. Vesn., 55 (2003), 1-13
  4. C. L. Chang; Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 39-90 https://doi.org/10.1016/0022-247X(68)90048-6
  5. K. C. Chattopadhyay, S. K. Samanta; Fuzzy topology: fuzzy closure operator, fuzzy compactness, fuzzy connectdeness, Fuzzy sets and systems, 54 (1993), 207-212 https://doi.org/10.1016/0165-0114(93)90277-O
  6. M. Dimirci; Neighborhood strucure of smooth topological spaces, Fuzzy sets and systems, 92 (1997), 123-128 https://doi.org/10.1016/S0165-0114(96)00132-7
  7. B. S. IN; On fuzzy FC-Compactness, Comm. Korean Math. Soc, 13 (1998), 137-150
  8. Lowen R.; Fuzzy topological spaces and fuzzy compacteness, J. Math. Anal. Appl., 56 (1976), 621-33
  9. Y. C. Kim, J. W. Park; R-fuzzy $\delta$-closure and R-fuzzy $\theta$-closure sets, fuzzy intelligent systems, 10 (2000), 557-563
  10. T. Noiri; Almost $\alpha$-continuous functions, Kyangpook Math. J., 28 (1988), 17-77
  11. A. A. Ramadan; Smooth topological spaces, Fuzzy sets and systems 48,1 (1992), 371-375
  12. U. Hohle, A. P. Sostak; Axiomatic faumdation of fixed-basis fuzzy topology, in: U.Hohle, S.E. Radabaugh(Eds.), The handbooks of Fuzzy sets series, Vol.3, Kluwer academic publishers, Dorcrech, 1990
  13. U. Hohle, A. P. Sostak; A general theory of fuzzy topological spaces, Fuzzy sets and systems, 73 (1995), 131-149 https://doi.org/10.1016/0165-0114(94)00368-H
  14. A. P. Sostak; On a fuzzy topological structre, Suppl. Rend. Circ. Matem. Palermo, Ser.II 11(1985)
  15. S. N. Maheshwari and U. D. Tapi; Note on some applications of feebly open sets, M. B. Jr. Univ. of Saugar
  16. S. N. Maheshwari and U. D. Tapi; Note on some applications of feebly open sets, M. B. Jr. Univ. of Saugar