DOI QR코드

DOI QR Code

Preconnectedness Degreeof L-Fuzzy TopologicalSpaces

  • Ghareeb, A. (Department of Mathematics, Faculty of Science, South Valley University)
  • 투고 : 2010.11.04
  • 심사 : 2011.01.25
  • 발행 : 2011.03.25

초록

In this paper, we use L-fuzzy preopen operator to introduce the degree of pre-separatedness and the degree of preconnectedness in L-fuzzy topological spaces. Many characterizations of the degree of preconnectedness are presented in L-fuzzy topological spaces.

키워드

참고문헌

  1. T.Kubiak, On fuzzy topologies. Ph.Dthesis,A.Mick-iewicz,poznan,1985.
  2. A. P. Sostak, “On a fuzzy to pological structure,” Suppl. Rend. Circ. Matem. Palermo-SirII, vol.11,pp.89–103, 1985.
  3. C. L. Chang,“Fuzzy to pological spaces,” J. Math. Anal. Appl., vol.24, pp.39–90,1968. https://doi.org/10.1016/0022-247X(68)90048-6
  4. F.-G. Shi, “Semiopenness and preopenness in L-fuzzy topological spaces,” (Submitted).
  5. S.-Z. Bai, “P-connectedness in L-topological spaces,” Soochow J. Math., vol. 29, pp. 35–42, 2002.
  6. P. Dwinger, “Characterizations of the complete homo-morphic images of a completely distributive complete lattice I,” Indagationes Mathematicae(Proceedings), vol. 85, pp. 403–414,1982.
  7. B. Krsteska, “Fuzzy strongly preopen sets and fuzzy strong precontinuity,” Matematicki Vesnik, vol. 50, no. 3-4, pp.111–123, 1998.
  8. F.-G. S. J. Zhang and C.-Y.Zheng, “On L-fuzzy topo-logical spaces,” Fuzzy Sets and Systems, vol. 149, pp. 473–484, 2005. https://doi.org/10.1016/j.fss.2004.05.007
  9. F.-G. Shi, “L-fuzzy interiorsand L-fuzzy closures,” Fuzzy setsandsystems, vol. 160, pp.1218–1232, 2009.