DOI QR코드

DOI QR Code

FUZZY MEAN OPEN AND FUZZY MEAN CLOSED SETS

  • SWAMINATHAN, A. (Department of Mathematics, Government Arts College(Autonomous))
  • Received : 2019.12.18
  • Accepted : 2020.06.07
  • Published : 2020.09.30

Abstract

The purpose of this article is to study the concepts of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, in what way they are similar to those of other. Also we discuss some properties of fuzzy mean open and fuzzy mean closed with fuzzy paraopen and fuzzy paraclosed sets in fuzzy topology.

Keywords

References

  1. Ajoy Mukherjee and Kallol Bhandhu Bagchi, On mean open set and mean closed sets, Kyungpook Math. J. 56 (2016), 1259-1265. https://doi.org/10.5666/KMJ.2016.56.4.1259
  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. B.M. Ittanagi and R.S. Wali, On fuzzy minimal open and fuzzy maximal open sets in fuzzy topological spaces, International J. of Mathematical Sciences and Applications 1 2011.
  4. B.M. Ittanagi and S.S. Benchalli, On paraopen sets and maps in topological spaces, Kyungpook Math. J. 56 (2016), 301-310. https://doi.org/10.5666/KMJ.2016.56.1.301
  5. F. Nakaoka and N. Oda, Some Properties of Maximal Open Sets, International Journal of Mathematics and Mathematical Sciences 21 (2003), 1331-1340.
  6. F. Nakaoka and N. Oda, Minimal closed sets and maximal closed sets, International Journal of Mathematics and Mathematical Sciences (2006), 1-8.
  7. S. Joseph, R. Balakumar and A. Swaminathan, On Fuzzy Paraopen Sets and Maps in Fuzzy Topological Spaces (submitted).
  8. A. Swaminathan, On fuzzy Maximal, Minimal open and closed sets (submitted).
  9. L.A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X