Nano generalized regular minimal closed sets in nano topological spaces

Document Type : Research Paper

Author
Department of Mathematics, College of Computer Science and Mathematics, Tikrit University, Tikrit, Iraq.
Abstract
This paper aims to define and study a new class of sets called NGRMCS in NTS. The basic properties of NGRMCS are also studied. Finally, we investigate the relationship among NGRMCS, NMCS, NCS, NGRCS, NRCS MCS and NMCS.

Keywords

[1] S.P. Arya and T.M. Nour, Characterizations of s-normal spaces, Indian J. Pure Appl.Math. 21(8) (1990) 717–71.
[2] S.S. Benchalli, S.N. Banasode and G.P. Siddapur, Generalized minimal closed sets in topological spaces, J. Comp.
Math. Sci. 1(6) (2010) 710–715.
[3] S. Bhattacharya, On generalized minimal closed sets, Int. J. Cotemp. Math. Sci. 6(4) (2011) 153–160.
[4] S.S. Dhanda, B. Singh and P. Jindal, Demystifying elliptic curve cryptography: curve selection, implementation
and countermeasures to attacks, J. Interdis. Math. 23(2) (2020) 463–470.
[5] S. Gadtia, S.K. Padhan and B.K. Bhoi, Square root formulae in the Sulbas˜utras and Bakhsh˜al˜ı manuscript ´ , J.
Interdis. Math. 23(1) (2020) 1–10.
[6] B. Kandaswamy and K.M.G. Priya, Nano generalized pre closed sets and nano pre generalized closed sets in nano
topological spaces, Int. J. Innov. Res. Sci. Engin. Tech. 3(10) (2014) 16825–16829.
[7] B. Kandaswamy, J.S. Priyadharshini and N. Pavithra, Nano generalized pre minimal closed sets in nano topological
spaces, IAETSD J. Adv. Res. Appl. Sci. 5(3) (2018) 263–268.
[8] N. Levine, Semi open sets and semi continuity in topological spaces, Amer. Math. 70(1) (1963) 36–41.
[9] H. Maki, J. Umehara and T. Noiri, Every topological space is pre-T1/2, Mem. Fac. Sci. Kochi Univ. (Math) 17
(1996) 33–42.
[10] F. Nakaoka and N. Oda, Some applications of minimal open sets, IJMMS 27(8) (2001) 471-476.
[11] F. Nakaoka and N. Oda a, Minimal closed sets and maximal closed sets, Int. J. Math. Math. Sci. 2006 (2006) 1–8.
[12] Z. Pawlak, Rough set theory and its applications, J. Telecommun. Inf. Tech. 2002 (3) (2002) 7–10.
[13] S. Sharma and A.J. Obaid, Mathematical modelling, analysis and design of fuzzy logic controller for the control
of ventilation systems using MATLAB fuzzy logic toolbox, J. Interdis. Math. 23(4) (2020) 843–849.
[14] M.L. Thivagar and C. Richard, On nano forms of weakly open sets, Int. J. Math. Stat. Inv. 1(1) (2013) 31–37.
Volume 12, Issue 2
November 2021
Pages 2009-2012

  • Receive Date 05 April 2021
  • Revise Date 11 May 2021
  • Accept Date 20 June 2021

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