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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 50 | Number 1 | Year 2017 | Article Id. IJMTT-V50P501 | DOI : https://doi.org/10.14445/22315373/IJMTT-V50P501

Intuitionistic Fuzzy β Generalized Homeomorphisms


M. Saranya
Abstract

In this paper we introduce the new class of homeomorphisms called intuitionistic fuzzy β generalized homeomorphisms. We also introduce M – β generalized homeomorphisms in intuitionistic fuzzy topological spaces and investigate some of the properties. We provide the relation between intuitionistic fuzzy β generalized homeomorphisms and intuitionistic fuzzy M – β generalized homeomorphisms. Also we prove that the set of all M-generalized semi-pre homeomorphisms forms a group under the operation of composition of maps.

Keywords
Intuitionistic fuzzy topology, intuitionistic fuzzy βgT1/2 space, intuitionistic fuzzy β generalized homeomorphisms and intuitionistic fuzzy M - β generalized homeomorphisms.
References

[1] Atanassov, K., Intuitionistic Fuzzy Sets, Fuzzy sets and systems, 1986, 87-96.
[2] Coker, D., An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems, 1997, 81 - 89.
[3] Saranya, M., and Jayanthi, D., On Intuitionistic fuzzy β Generalized Closed Sets, International Journal of Computational Engineering Research, 6(3), 2016, 37 - 42.
[4] Saranya, M., and Jayanthi, D., On Intuitionistic Fuzzy β Generalized Open Sets, International Journal of Engineering Sciences & Management Research, 3(5), 2016, 48 - 53.
[5] Saranya, M., and Jayanthi, D., On Intuitionistic Fuzzy β Generalized T1/2 spaces, Imperial Journal of Interdisciplinary Research, 2(6), 2016, 447 – 451.
[6] Saranya, M., and Jayanthi, D., On Intuitionistic Fuzzy β Generalized continuous mappings, International Journal of Advance Foundation and Research in Science & Engineering, 2(10), 2016, 42 - 51.
[7] Saranya, M., and Jayanthi, D., Completely β Generalized Continuous Mappings in Intuitionistic Fuzzy Topological Spaces, (accepted).
[8] Saranya, M., and Jayanthi, D., Intuitionistic Fuzzy β Generalized Closed Mappings (submitted).

Citation :

M. Saranya, "Intuitionistic Fuzzy β Generalized Homeomorphisms," International Journal of Mathematics Trends and Technology (IJMTT), vol. 50, no. 1, pp. 1-5, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V50P501

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