Regularity of the Extensions of a Double Fuzzy Topological Space

Authors

  • Vivek St. Thomas College, Palai.
  • Sunil C Mathew Deva Matha College Kuravilangad.

DOI:

https://doi.org/10.22199/issn.0717-6279-4841

Keywords:

double fuzzy topology, closed set, regular space

Abstract

This paper studies the regularity of the extensions of a double fuzzy topological space. The interrelations among certain families of closed sets in a double fuzzy topological space and its extensions are also investigated.

Author Biographies

Vivek, St. Thomas College, Palai.

Department of Mathematics.

Sunil C Mathew, Deva Matha College Kuravilangad.

Department of Mathematics.

References

S. E. Abbas, “(R,S)-generalized intuitionistic fuzzy closed sets”, Journal of the egyptian mathematical society, vol. 14,no. 2, pp. 331-351, 2006.

A. Ghareeb, “Normality of double fuzzy topological spaces”, Applied mathematics letters, vol. 24, no. 4, pp. 533–540, 2011. https://doi.org/10.1016/j.aml.2010.11.008

E. P. Lee and Y. B. Im, “Mated fuzzy topological spaces”, Journal of the Korean institute of intelligent systems, vol. 11, no. 2, pp. 161-165, 2001.

F. M. Mohammed, M. S. M. Noorani, and A. Ghareeb, “Generalized fuzzy B-closed and generalized ⋆-fuzzy B-closed sets in double fuzzy topological spaces”, Egyptian journal of basic and applied sciences, vol. 3, no. 1, pp. 61–67, 2016. https://doi.org/10.1016/j.ejbas.2015.09.001

T. K. Mondal and S. K. Samanta, “On intuitionistic gradation of openness”, Fuzzy sets and systems, vol. 131, no. 3, pp. 323–336, 2002. https://doi.org/10.1016/s0165-0114(01)00235-4

A. A. Ramadan, S. E. Abbas, and A. A. Abd El-Latif, “Compactness in intuitionistic fuzzy topological spaces”, International journal of mathematics and mathematical sciences, vol. 2005, no. 1, pp. 19–32, 2005. https://doi.org/10.1155/ijmms.2005.19

G. C. Ray and B. C. Tripathy, “Fuzzy δ∗-almost continuous and fuzzy δ∗-continuous functions in mixed fuzzy ideal topological spaces”, Proyecciones (Antofagasta), vol. 39, no. 2, pp. 435–449, 2020. https://doi.org/10.22199/issn.0717-6279-2020-02-0027

S. Vivek and S. C. Mathew, “On the extensions of a double fuzzy topological space”, Journal of advanced studies in topology, vol. 9, no. 1, pp. 75–93, 2018. https://doi.org/10.20454/jast.2018.1431

S. Vivek and S. C. Mathew, “On regular fuzzy closed sets in a double fuzzy topological space”, Advances in fuzzy sets and systems, vol. 24, no. 2, pp. 55–73, 2019. https://doi.org/10.17654/fs024020055

S. Vivek and S. C. Mathew, “Some lattices associated with a double fuzzy topological spaces”, Journal of fuzzy mathematics, vol. 27, no. 1, pp. 153-170, 2019

S. Vivek and S. C. Mathew, “Normality of the extensions of a double fuzzy topological space”, Advances in mathematics: scientific journal, vol. 9, no. 11, pp. 9455–9462, 2020. https://doi.org/10.37418/amsj.9.11.49

S. Vivek and S. C. Mathew, “Regular fuzzy closed sets and extensions of a double fuzzy topological space”, Journal of mathematical extension, vol. 14, no. 4, pp. 101-112, 2020.

B. C. Tripathy and G. C. Ray, “On mixed fuzzy topological spaces and countability”, Soft computing, vol. 16, no. 10, pp. 1691–1695, 2012. https://doi.org/10.1007/s00500-012-0853-1

B. C. Tripathy and G. C. Ray, “Mixed fuzzy ideal topological spaces”, Applied mathematics and computation, vol. 220, pp. 602–607, 2013. https://doi.org/10.1016/j.amc.2013.05.072

B. C. Tripathy and G. C. Ray, “On δ-continuity in mixed fuzzy topological spaces”, Boletim da Sociedade paranaense de matemática, vol. 32, no. 2, pp. 175-187, 2014. https://doi.org/10.5269/bspm.v32i2.20254

B. C. Tripathy and G. C. Ray, “Weakly continuous functions on mixed fuzzy topological spaces”, Acta scientiarum. technology, vol. 36, no. 2, p. 331, 2014. https://doi.org/10.4025/actascitechnol.v36i2.16241

Published

2022-01-28

How to Cite

[1]
S. Vivek and S. C Mathew, “Regularity of the Extensions of a Double Fuzzy Topological Space”, Proyecciones (Antofagasta, On line), vol. 41, no. 1, pp. 163-176, Jan. 2022.

Issue

Section

Artículos