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HESITANT FUZZY MINIMAL AND MAXIMAL OPEN SETS

  • A. SWAMINATHAN (Department of Mathematics, Government arts college(Autonomous)) ;
  • S. SIVARAJA (Research Scholar, Department of Mathematics, Annamalai University)
  • Received : 2022.12.11
  • Accepted : 2023.03.03
  • Published : 2023.03.30

Abstract

The aim of this article is to extend hesitant fuzzy minimal open and hesitant fuzzy maximal open sets in hesitant fuzzy topological space. Further, we investigate some properties with these new sets.

Keywords

References

  1. C.L. Chang, Fuzzy topological spaces, M. Math. Anal. Appl. 24 (1968), 182-190. https://doi.org/10.1016/0022-247X(68)90057-7
  2. D. Deepak, B. Mathew, S. Mohn and H.A. Garg, Topological structure involving hesitant fuzzy sets, M. Intell. Fuzzy Syst. 36 (2019), 6401-6412. https://doi.org/10.3233/JIFS-182673
  3. D. Divakaran and S.J. John, Hesitant fuzzy rough sets through hesitant fuzzy relations, Ann. Fuzzy Math. Inform. 8 (2014), 33-46.
  4. 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).
  5. J. Kim, Y.B. Jun, P.K. Lim, J.G. Lee and K. Hur, The category of hesitant H-fuzzy sets, Ann. Fuzzy Math. Inform. 18 (2019), 57-74. https://doi.org/10.30948/afmi.2019.18.1.57
  6. J.G. Lee and K. Hur, Hesitant fuzzy topological spaces, Mathematics 8 (2020).
  7. V. Torra, Hesitant fuzzy sets, Int. J. Intel. Sys. 25 (2010), 529-539.
  8. L.A. Zadeh, Fuzzy sets, Information and computation 8 (1965), 338-353.