On Some Intuitionistic Almost Open Maps

P. Agrawal¹ , J.K. Maitra²

Section:Research Paper, Product Type: Isroset-Journal
Vol.6 , Issue.2 , pp.212-216, Apr-2019

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i2.212216

Online published on Apr 30, 2019

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.
 

View this paper at   Google Scholar | DPI Digital Library

XML View     PDF Download

How to Cite this Paper

179 Views    154 Downloads    96 Downloads

Abstract :
In this paper we have introduced intuitionistic almost open maps, intuitionistic almost α-open maps, intuitionistic almost σ-open maps, intuitionistic almost π-open maps and intuitionistic almost β-open maps on intuitionistic topological spaces. These generalized forms of intuitionistic almost open maps are defined by intuitionistic open sets and investigate relationships among these maps. We have constructed some examples which are quite useful in theory of intuitionistic open maps.

Key-Words / Index Term :
intuitionistic almost open maps, intuitionistic almost α-open maps, intuitionistic almost σ-open maps, intuitionistic almost π-open maps and intuitionistic almost β-open maps

References :
[1] A. Manimaran and K. Arun Prakash,
“Intuitionistic fuzzy almost open mappings in intuitionistic fuzzy topological spaces”, International Journal of Mathematical Archive-3(2), 373-379, 2012.
[2] A. Singaravelan, “On intuitionistic β-open sets”, Mathematical science, I. J., Vol. 5, 2016.
[3] 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.
[4] C. Cao, J. Yan, W. Wang and W. Wang, “Some generalized continuities functions on generalized topological spaces”, Hacettepe Jour. of Mathematics and statistics, 42(2), 159-163, 2013.
[5] D. Andrijevic, “On b-open sets”, Mat. Vesnik, 48, 59- 64, 1996.
[6] D. Coker, “An introduction to intuitionistic topological Spaces”, Preliminary report, Akdeniz university, Math. Dept. Turkey, 51-56, 1995.
[7] D. Coker, “A note on intuitionistic sets and intuitionistic Points”, Turkish J. Math., 20, No. 3, 343-351, 1996.
[8] D. Coker, “An Introduction to intuitionistic topological spaces”, BUSEFAL, 81, 51-56, 2000.
[9] G. Ilango and S. Selvanyaki, “Generalized pre regular closed sets in intuitionistic topological spaces”, IJMA, 5(4), 30-36, 2014.
[10] G. Sasikala and M.N. Krishnan, “Study on Intuitionistic Semiopen Sets”, IOSR journal of Mathematics, vol. 12, Isssue 6 Ver. III, 2016, 79- 84.
[11] G. Sasikala and M.N. Krishnan, “On intuitionistic preopen Sets”, Inter. journal of Pure and Applied Mathematics, vol. 116, no 24, 281-292, 2017.
[12] 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.
[13] 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.
[14] P. Agrawal and J.K. Maitra, “ Some stronger form of intuitionistic continuous maps”, IJRAR, vol 5, Issue 4, pp 59-65, 2018.
[15] P. Agrawal and J.K. Maitra, “On Intuitionistic sgp-closed sets in Intuitionistic Topological Space”, International Journal of Scientific Research in Mathematical and Statistical Sciences Volume-5, Issue-4, pp.404-408, August 2018.
[16] T.A., Albinaa and G., Ilango, “ On α-Homeomorphism in intuitionistic topological space”, I. J. of engineering science, vol 6, Issue 10, pp 07-13, 2017.
[17] 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.