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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 2 | Year 2019 | Article Id. IJMTT-V65I2P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I2P505

b#Closed Sets in Intuitionistic Fuzzy Topological Spaces


Gomathi G, Jayanthi D
Abstract

In this paper, we have introduced a new class of closed sets namely b# closed sets in intuitionistic fuzzy topological spaces and discussed some of their properties. Also we have studied the relation between the new class of set with the other existing closed sets.

Keywords
Intuitionistic fuzzy topology, intuitionistic fuzzy b closed sets, intuitionistic fuzzy b # closed sets.
References

[1] Atanassov, K., “Intuitionistic Fuzzy Sets”, Fuzzy sets and systems, 12, 1986, 87-96.
[2] Coker, D., “An introduction to intuitionistic fuzzy topological spaces”, Fuzzy sets and systems, 88, 1997, 81-89.
[3] Coker , D., and Demirci, M., On Intuitionistic Fuzzy Points, Notes on Intuitionistic Fuzzy Sets, 1995, 79-84.
[4] Gurcay, H ., Haydar, A., and Coker, D., “Intuitionistic fuzzy topological spaces”, Journal of Fuzzy Mathematics,1997,365-378.
[5] Hanafy, I, M., “Intuitionistic γ continuity”, Canad. Math Bull, 52, 2009, 1-11.
[6] Indhumathi,P., Jayanthi, D., “On Fuzzy b# Closed Sets”, international Journal of Mathematics Trends and Technology – Special issue ICRMIT March 2018,108-111.
[7] Thakur, S, S., and Dhavaseelan, R.,“Nowhere dense sets in intuitionstic fuzzy topological spaces”, Proceedings of National Seminar on Recent Developments in Topology, 52, 2015, 17-21.
[8] Thakur., and RekhaChaturvedi, S.S., “Regular Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces”, Universitatea Din Bacau, StudiiSiCercetariStiintifice, Seria, 2006, 257-272.
[9] Zadeh, L, A., “Fuzzy sets”, Information and control, 8, 1965, 338-353.

Citation :

Gomathi G, Jayanthi D, "b#Closed Sets in Intuitionistic Fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 2, pp. 22-26, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I2P505

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