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Ijraset Journal For Research in Applied Science and Engineering Technology

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IFsgp*-Closed Sets, Open Sets in Intuitionistic Fuzzy Topological Spaces

Authors: Chandhini J, Uma N

DOI Link: https://doi.org/10.22214/ijraset.2022.48169

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Abstract

In this paper, Intuitionistic fuzzy semi gp* - closed sets, Intuitionistic fuzzy semi gp* - open sets, and characteristics of Intuitionistic fuzzy semi gp* - closed sets are introduced. Here, we have also investigated their relations and properties with other Intuitionistic fuzzy sets.

Introduction

Conclusion

In this paper, we have introduced the Intuitionistic fuzzy semi generalized pre star closed sets and Intuitionistic fuzzy semi generalized pre star open sets. Additionally, we have presented few of its characteristics as well as the connections between it and other Intuitionistic fuzzy closed and open sets that already exist. In our future research, we will use the Intuitionistic fuzzy semi generalized pre star sets to derive continuous mapping, irresolute mapping, connectedness, and disconnectedness.

References

[1] K. T. Atanassov, “Intuitionistic fuzzy sets”, Fuzzy sets and systems, 20(1986), 87 - 96. [2] J. Chandhini, N. Uma, “IFgp* Neighborhood in Intuitionistic fuzzy topological spaces”, Aryabhatta Journal of Mathematics and Informatics, vol 14, Special conference issue, 30 - 31 March 2022. [3] D. Coker, “An introduction to intuitionistic fuzzy topological spaces”, Fuzzy sets and systems 88, 1997, 81 - 89. [4] M. Jeyaraman, O. Ravi & A. Yuvarani, “Intuitionistic fuzzy alpha generalized semi closed set”, Thai Journal of mathematics volume 14(3), 2016, 757 - 769. [5] K. Ramesh, M. Thirumalaiswamy, “Generalized semipre closed set in Intuitionistic fuzzy topological spaces”, International journal of computer application technology and research 2(3), 2013, 324 - 328. [6] R. Santhi, D. Jayanthi, “Intuitionistic fuzzy generalized semi continuous mapping”, Advances in theoretical and applied mathematics, 5, 2009, 73 - 82. [7] R. Santhi, D. Jayanthi, “Intuitionistic fuzzy generalized semipre closed set”, Tripura Math. Soci., 61 - 71, 2009. [8] K. Sakthivel, “Intuitionistic fuzzy alpha generalized closed sets and intuitionistic fuzzy alpha generalized open set”, The Mathematical Education 4(2012). [9] T. Shyla Isac Mary, P. Thangavelu, “On Regular Pre semi closed sets in Topological spaces”, KBM Journal of Mathematical Sciences and Computer Applications, 1(2010), 9 - 17. [10] S. S. Thakur, Jyoti Pandey Bajpai, “Intuitionistic fuzzy w - closed sets and Intuitionistic fuzzy w – continuity”, International Journal of Contemporary Advanced Mathematics, 1(1), 2010, 1 - 15. [11] Young Bae Jun, Seok Zun Song, “Intuitionistic fuzzy semi pre open sets and Intuitionistic fuzzy semi pre continuous mapping”, Jour. of Appl. Math and Computing, 2005, 467 - 474. [12] L. A. Zadeh, “Fuzzy sets”, Information control, 8(1965), 338 – 353.

Copyright

Copyright © 2022 Chandhini J, Uma N. 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.

ijraset48169

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Authors : Chandhini J

Paper Id : IJRASET48169

Publish Date : 2022-12-16

ISSN : 2321-9653

Publisher Name : IJRASET

DOI Link : Click Here

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International Journal for Research in Applied Science and Engineering Technology (IJRASET) is an international peer reviewed, online journal published for the enhancement of research in various disciplines of Applied Science & Engineering Technologies.

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