On Intuitionistic sgp-closed sets in Intuitionistic Topological Space

P. Agrawal¹ , J.K Maitra²

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.404-408, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.404408

Online published on Aug 31, 2018

Copyright © P. Agrawal , J.K Maitra . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In 2007, Navalagi and Bhat introduced and study a new class of sets, namely, sgp-closed sets in Topological Spaces. He observed that this class is properly placed between the class of closed sets and generalized preclosed sets. In this paper we have introduced intuitionistic sgp-closed sets and intuitionistic sgp-open sets in intuitionistic toplogical spaces and obtained its significant properties. We have constructed some examples which are quite useful in theory of intuitionistic sgp-closed and intuitionistic sgp-open sets.

Key-Words / Index Term :
Intuitionistic sgp closed set, Intuitionistic sgp-open set

References :
[1] A. Singaravelan, “On intuitionistic β-open sets”,
Mathematical science I. J., Vol. 5, 2016.
[2] A. Singaravelan and G. Ilango, “ Some more
properties Of intuitionistic β-open sets”, Int. Jour.
Of pure and Applied Mathematics, vol. 106, no 8,
13-20, 2016.
[3] D. Coker, “An introduction to intuitionistic
topological Spaces”, Preliminary report, Akdeniz
university, Math. Dept. Turkey, 51-56, 1995.
[4] D. Coker, “A note on intuitionistic sets and
intuitionistic Points”,Turkish J. Math., 20, No. 3,
343-351, 1996.
[5] D. Coker, An Introduction to intuitionistic
topological spaces, BUSEFAL, 81, 51-56, 2000.
[6] G. Ilango and S. Selvanyaki, “Generalized pre
regular closed sets in intuitionistic topological
spaces”, IJMA, 5(4), 30-36, 2014.
[7] G. Navalagi and M. Bhat, “On sgp-closed sets in
Topological spaces”, Jour. Of Applied
Mathematical Analysis and Applications, 3(1), 45-
58, 2007.
[8] G. Sasikala and M.N. Krishnan, “Study on
Intuitionistic Semiopen Sets”, IOSR journal of
Mathematics, vol. 12, Isssue 6 Ver. III, 2016, 79-
84.
[9] G. Sasikala and M.N. Krishnan, “On intuitionistic
preiopen Sets”, Inter. journal of Pure and Applied
Mathematics, vol. 116, no 24, 281-292, 2017.
[10] G. Sasikala and M.N. Krishnan, “Study on
intuitionistic α-open sets and α-closed sets”, Int.
Jour. of Mathematics Archive, 8(1), 26-30, 2017.
[11] J.P. Bajpai and S.S. Thakur, “Intuitionistic fuzzy
sgp-closed sets”, Int. Jour. Of Latest Trends in
Engineering and Technology”, Vol 8, Issue 1,
636-642, 2017.
[12] J.T., Yaseen S. and Abdualbaqi L., “Some
generalized sets and generalized mapping in
intuitionistic topological spaces”, J. of al-
Qadisiyah for computer science and mathematics,
7, 2, 2015.
[13] Y.J. Yaseen and A.G. Raouf, “On generalized
closed sets and generalized continuity on
intuitionistic topological spaces”, J. of al-anbar
uni. for pure science, 3,1, 2009.