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Sankari, M.; Murugesan, C.

Some extension on hesitant fuzzy maximal, minimal open and closed sets. (English) Zbl 1538.54040

J. Appl. Math. Inform. 41, No. 2, 265-272 (2023).
Summary: 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, a few properties of ‘hesitant fuzzy cleanly covered’ are obtained. Using hesitant fuzzy minimal open and fuzzy maximal closed sets, two strong hesitant fuzzy separation axioms are extended.

MSC:

54A40 Fuzzy topology
03E72 Theory of fuzzy sets, etc.

Keywords:

hesitant fuzzy minimal open; hesitant fuzzy strongly regular; hesitant fuzzy strongly normal
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References:

[1] C.L. Chang, hesitant fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190. · Zbl 0167.51001 · doi: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. · doi: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. · Zbl 1319.03054
[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. · Zbl 1463.54028 · doi: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. · Zbl 1538.54041
[8] V. Torra, Hesitant fuzzy sets, Int. J. Intel. Sys. 25 (2010), 529-539. · Zbl 1198.03076
[9] L. A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353. · Zbl 0139.24606 · doi:10.1016/S0019-9958(65)90241-X
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