Neutrosophic \(\mathrm{g}^{\#} \mathrm{~S}\) closed sets in neutrosophic topological spaces

Downloads

DOI:

https://doi.org/10.26637/MJM0804/0076

Abstract

Aim of this present paper is, we introduced and studied new type of generalized closed sets is called Neutrosophic \(\mathrm{g}^{\#} \mathrm{~S}\) closed sets and Neutrosophic \(\mathrm{g}^{\#} \mathrm{~S}\) open sets and followed that its properties and application are also discussed.

Keywords:

Neutrosophic topological spaces, Neutrosophic \(\mathrm{g}^{\#} \mathrm{~S}\) closed sets, Neutrosophic \(\mathrm{g}^{\#} \mathrm{~S}\) open sets, Neutrosophic \( \mathrm{g}^{\#} \mathrm{~S}\) interior

Mathematics Subject Classification:

Mathematics
  • A. Atkinswestley Department of Mathematics, Roever College of Engineering and Technology, Elambalur- 621212, Tamil Nadu, India.
  • S. Chandrasekar PG and Research Department of Mathematics, Arignar Anna Government Arts College, Namakkal-637002, Tamil Nadu, India.
  • Pages: 1786-1791
  • Date Published: 01-01-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1986), 87-95.

I. Arokiarani, R. Dhavaseelan, S. Jafari, M. Parimala, On Some New Notions and Functions in Neutrosophic topological space, Neutrosophic Sets and Systems, 16(2017), 16-19.

A. Atkinswestley and S. Chandrasekar, Neutrosophic g* Closed Sets and its maps, Neutrosophic Sets and Systems, 36(2020), 96-107.

A. Atkinswestley S. Chandrasekar, Neutrosophic Weakly G*closed sets, Advances in Mathematics: Scientific Journal, 9(5), (2020), 2853-2861.

V. BanupriyaS.Chandrasekar: Neutrosophic $alpha mathrm{gs}$ Continuity and Neutrosophic $alpha$ gs Irresolute Maps, Neutrosophic Sets and Systems, 28(2019), 162-170.

V. BanuPriya, S. Chandrasekar, and M. Suresh, Neutrosophic Strongly $alpha$-Generalized Semi Closed Sets, Advances in Mathematics: Scientific Journal 9(10), (2020). 8605-8613.

R. Dhavaseelan, and S.Jafari, Generalized Neutrosophic closed sets, New Trends in Neutrosophic Theory and Applications, II(2018), 261-273.

R. Dhavaseelan, S.Jafari, and Hanifpage, Neutrosophic generalized $alpha$-contra-continuity, Creat. Math. Inform., 27(2), (2018), 133-139,

FlorentinSmarandache, Neutrosophic and NeutrosophicLogic, First International Conference On Neutrosophic, Neutrosophic Logic, Set, Probability, and Statistics University of New Mexico, Gallup, NM 87301, USA, 2002.

FloretinSmarandache, Neutrosophic Set: A Generalization of Intuitionistic Fuzzy set, Journal of Defense Resources Management 1(2010), 107-114.

P. Ishwarya and K. Bageerathi, On Neutrosophic semi open sets in Neutrosophic Topological Spaces, International Jour. Of Math. Trends and Tech., (2016), 214-223.[12] D.Jayanthi, $alpha$ Generalized closed Sets in NTSs, International Journal of Mathematics Trends and Technology (IJMTT)- Special Issue ICRMIT March (2018).

S. Narmatha, E. Glory Bebina, R. Vishnu Priyaa, On $pi g beta$-Closed Sets and Mappings in Neutrosophic Topological Spaces, International Journal of Innovative Technology and Exploring Engineering (IJITEE), 8(125), (2019), 505-510.

C. Maheswari, M.Sathyabama, S.Chandrasekar, Neutrosophic generalized $b$ closed Sets In Neutrosophic Topological Spaces, Journal of Physics Conf. Series 1139(2018) 12-65.

C. Maheswari, S. Chandrasekar, Neutrosophicgb closed Sets and Neutrosophicgb-Continuity, Neutrosophic Sets and Systems, 29(2019), 89-99.

C. Maheswari and S. Chandrasekar, Neutrosophicbgclosed Sets and its Continuity, Neutrosophic Sets and Systems, 36(2020), 108-120.

T. Rajesh kannan, S. Chandrasekar, Neutosophic $omega alpha$ closed sets in Neutrosophic topological space, Journal Of Computer And Mathematical Sciences, 9(10), (2018), 1400-1408.

T. Rajesh kannan ,S. Chandrasekar, Neutosophic $alpha$ continuous multifunction in Neutrosophic topological space, The International Journal of Analytical and Experimental Modal Analysis, XI(IX), (2019), 13601367.

T. Rajesh Kannan, and S. Chandrasekar, Neutrosophic $alpha$-Irresolute Multifunction In Neutrosophic Topological Spaces, Neutrosophic Sets and Systems , 32(1), (2020), 390-400.

T. Rajesh kannan, S. Chandrasekar, Neutrosophic Pre- $alpha$, Semi- $alpha$ & Pre- $beta$ Irresolute Functions(Communicated).

A.A. Salama and S.A. Alblowi, Generalized Neutrosophic Set and Generalized Neutrosophic topological spaces, Journal computer Sci. Engineering,2(7), (2012).

A.A. Salama, and S.A. Alblowi, Neutrosophic set and Neutrosophic topological spaces, ISOR J. Mathematics, 3(4), (2012), 31-35.

V.K. Shanthi, S. Chandrasekar, K. Safina Begam, Neutrosophic Generalized Semi-closed Sets In neutrosophic topological spaces, International Journal of Research in Advent Technology, 6(7), (2018), 1739-1743.

V. Venkateswara Rao, Y. Srinivasa Rao, Neutrosophic Preopen Sets and Pre-closed Sets in Neutrosophic Topology, International Journal of Chem Tech Research, 10(10), (2017), 449-458.

L. A. Zadeh, Fuzzy sets, Information and Control, 8(3), (1965), 338-353.

  • NA

Metrics

Metrics Loading ...

Published

01-01-2020

How to Cite

A. Atkinswestley, and S. Chandrasekar. “Neutrosophic \(\mathrm{g}^{\#} \mathrm{~S}\) Closed Sets in Neutrosophic Topological Spaces”. Malaya Journal of Matematik, vol. 8, no. 04, Jan. 2020, pp. 1786-91, doi:10.26637/MJM0804/0076.