402 237
Full Length Article
Volume 5 , Issue 2, PP: 67-71 , 2020

Title

On neutrosophic nano αg# ψ-closed sets in neutrosophic nano topological spaces

Authors Names :   T. Nandhini   1 *     M.Vigneshwaran   2  

1  Affiliation :  Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641 029, India

    Email :  nandhinimaths11@gmail.com


2  Affiliation :  Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641 029, India

    Email :  vignesh.mat@gmail.com



Doi   :  10.5281/zenodo.3808368


Abstract :

The object of the present paper is to introduce neutrosophic nano αg# ψ-closed sets in neutrosophic nano topological spaces and characterize some of its basic properties in neutrosophic nano topological spaces.

Keywords :

Neutrosophic set , Neutrosophic topology , Neutrosophic nano topology , Neutrosophic nano αg# ψ-closed set.

References :

[1]   Atanassov, K., “Intuitionstic fuzzy sets”,  Fuzzy Sets Systems, 1986, 20, pp.87-96. 

[2]   Atanassov, K., and  Stoeva, S., ”Intuitionistic fuzzy sets”, In Proceedings of the Polish Symposium on Interval and Fuzzy Mathematics, Poznan, Poland, 26-29 August 1983, pp.23-26. 

[3]   Chang, C.L., ”Fuzzy Topological Spaces”, J. Math. Anal. Appl. 24 (1968), pp.182-190. 

[4]   Dogan Coker,”An introduction to intuitionistic fuzzy topological spaces”, Fuzzy Sets and Systems, Vol 88, No.1, 1997, pp.81-89.

[5]   Lellis Thivagar, M., and Carmel Richard,”On nano forms of weakly open sets”, International journal of mathematics and statistics invention, Volume 1, Issue 1, (2013), pp.31-37.

[6]   Lellis Thivagar, M. Jafari, S. Sudha devi, V. and Antonysamy, V.”A novel approach to nano topology via neutrosophic sets”, Neutrosophic sets and systems, Vol 20, (2018), pp.86-94.

[7]   Mullai, M. Sangeetha,K. Surya, R. Madhan kumar, G. Jeyabalan, R. Broumi, S.”A Single Valued Neutrosophic Inventory Model with Neutrosophic Random Variable”, International Journal of Neutrosophic Science, Volume 1 , Issue 2, pp.52-63, 2020,

[8]   Nandhini, T.  Vigneshwaran, M. “-closed sets in neutrosophic topological spaces”, American International Journal of Research in Science, Technology, Engineering and Mathematics, Special issue of 2nd International Conference on Current Scenario in Pure and Applied Mathematics, 3rd January, 2019, pp.370-373.

[9]   Parimala, M. Jeevitha, R. Jafari, S. Smarandache, F. and Karthika, M.”Neutrosophic nano $\alpha\psi$-closed sets in neutrosophic nano topological spaces”, Journal of advance Research in Dynamical and Control Systems, Vol 10, Special issue-2018, pp.523-531.

[10]  Parimala, M. Karthika, K. Florentin Smarandache, Said Broumi,”On αω-closed sets and its connectedness in terms of neutrosophic topological spaces”, International Journal of Neutrosophic Science,  Volume 2 , Issue 2, PP.82-88 , 2020

[11]  Pawlak, Z.”Rough sets”, International Journal of Computing and Information Sciences, 11 (5)(1982), pp.341-356.

[12]  Riad K. Al-Hamido, "`On Neutrosophic Crisp Supra Bi-Topological Spaces"', International journal of Neutrosophic science, Volume 4 , Issue 1, pp.36-46 , 2020.

[13]   Sapan Kumar Das, Edalatpanah, S.A. "`A new ranking function of triangular neutrosophic number and its application in integer programming”, International Journal of Neutrosophic Science, Volume 4 , Issue 2,  pp.82-92 , 2020. 

[14]    Smarandache, F. Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability and Statistics; University of New Mexico: Gallup, NM, USA, 2002. 

[15]    Smarandache, F.; A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability; American Research Press: Rehoboth, NM, USA, 1999. 

[16]   Salama, A.A. Alblowi, S.A. "`Neutrosophic Set and Neutrosophic Topological Spaces”. IOSR J. Math. 2012, 3, pp.31-35. 

[17]   Zadeh, L.A. "Fuzzy Sets," Inf. Control, 8, pp.338-353, 1965