DOI QR코드

DOI QR Code

SOME EXTENSION ON HESITANT FUZZY MAXIMAL, MINIMAL OPEN AND CLOSED SETS

  • M. SANKARI (Department of Mathematics, Lekshmipuram College of Arts and Science) ;
  • C. MURUGESAN (Department of Mathematics, Pionneer Kumaraswami College of Arts and Science)
  • Received : 2022.01.12
  • Accepted : 2023.02.07
  • Published : 2023.03.30

Abstract

This article presents a novel notion of hesitant fuzzy cleanly covered in hesitant fuzzy topological spaces;moreover two strong hesitant fuzzy separation axioms are investigated. Based on fuzzy maximal open sets few properties of hesitant fuzzy cleanly covered are obtained. By dint of hesitant fuzzy minimal open and fuzzy maximal closed sets two strong hesitant fuzzy separation axioms are extended.

Keywords

Acknowledgement

The authors are thankful to the referees for their suggestions and commands to develop this manuscript.

References

  1. C.L. Chang, hesitant fuzzy topological spaces, J. 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. 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
  5. J.G. Lee and K. Hur, Hesitant fuzzy topological spaces, Mathematics 8 (2020).
  6. M. Sankari and C. Murugesan, Hesitant fuzzy maximal, minimal open and closed sets, Communicated.
  7. A. Swaminathan and S. Sivaraja, Hesitant fuzzy minimal and maximal open sets, Communicated.
  8. V. Torra, Hesitant fuzzy sets, Int. J. Intel. Sys. 25 (2010), 529-539.
  9. L. A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X