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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 4 | Issue 1 | Year 2013 | Article Id. IJMTT-V4I1P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V4I1P501

Semipre Generalized Closed Mappings in Intuitionistic Fuzzy Topological Spaces


M. Thirumalaiswamy and K. M. Arifmohammed
Abstract

In this paper we introduce intuitionistic fuzzy semipre generalized closed mappings, intuitionistic fuzzy semipre generalized open mappings and intuitionistic fuzzy M-semipre generalized closed mappings and we study some of their properties. We provide the relation between intuitionistic fuzzy M-semipre generalized closed mappings and intuitionistic fuzzy semipre generalized closed mappings.

Keywords
Intuitionistic fuzzy topology, intuitionistic fuzzy semipre generalized closed mappings, intuitionistic fuzzy semipre generalized open mappings and intuitionistic fuzzy M-semipre generalized closed mappings.
References

[1] C. L. Chang, Fuzzy topological spaces, J.Math.Anal.Appl. 24, 1968, 182-190.
[2] D. Coker, An introduction to intuitionistic fuzzy topological space, Fuzzy Sets and Systems, 88, 1997, 81-89.
[3] H. Gurcay, Es. A. Haydar and D. Coker, On fuzzy continuity in intuitionistic fuzzy topological spaces, J.Fuzzy Math.5 (2) , 1997, 365- 378.
[4] R. Santhi and D. Jayanthi, Intuitionistic fuzzy generalized semi-pre closed sets (accepted).
[5] Seok Jong Lee and Eun Pyo Lee, The category of intuitionistic fuzzy topological spaces, Bull. Korean Math. Soc. 37, No. 1, 2000, pp. 63- 76.
[6] S. S. Thakur, Bajpai Pandey Jyoti, Intuitionistic Fuzzy w-closed sets and intuitionistic fuzzy w-continuity, International Journal of Contemporary Advanced Mathematics, Vol. 1, No. 1, 2010, 1-15.
[7] M. Thirumalaiswamy and K. M. Arifmohammed, Semipre Generalized Open Sets and Applications of Semipre Generalized Closed Sets in Intuitionistic Fuzzy Topological Spaces (submitted).
[8] M. Thirumalaiswamy and K. Ramesh, Intuitionistic fuzzy semi-pre generalized closed sets (submitted).
[9] Young Bae Jun and Seok- Zun Song, Intuitionistic fuzzy semi-pre open sets and Intuitionistic fuzzy semi-pre continuous mappings, Jour. of Appl. Math & computing, 2005, 467-474.
[10] L. A. Zadeh, Fuzzy sets, Information and control, 8, 1965, 338-353.

Citation :

M. Thirumalaiswamy and K. M. Arifmohammed, "Semipre Generalized Closed Mappings in Intuitionistic Fuzzy Topological Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 4, no. 1, pp. 1-5, 2013. Crossref, https://doi.org/10.14445/22315373/IJMTT-V4I1P501

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