Nano Fuzzy Bitopological Spaces

Authors

  • Purva Rajwade Department of Applied Mathematics, Institute of Engineering and Technology, DAVV, Indore, M.P.-452020, India.
  • Rachna Navalakhe Department of Applied mathematics and Computational Science, SGSITS, M.P. -452003, India.

DOI:

https://doi.org/10.23755/rm.v51i0.1297

Keywords:

Nano fuzzy bitopological spaces, Nano fuzzy 〖(1, 2)〗^* open sets, 2)〗^* closed sets, 2)〗^* generalized closed sets.

Abstract

The object of this paper is to introduce the concept of Nano fuzzy bitopological space with respect to the fuzzy subsets of the universe which is defined in terms of Nano fuzzy lower and Nano fuzzy upper approximations of  fuzzy subsets respectively. There is also an attempt to define Nano fuzzy (1,2)* closure and Nano fuzzy (1,2)* interior with the help of Nano fuzzy (1,2)* closed sets and Nano fuzzy (1,2)* open sets respectively in Nano fuzzy bitopological space. We have expanded our work and defined Nano fuzzy (1,2)* generalized fuzzy closed sets in Nano fuzzy bitopological space and investigated some of its properties.

Author Biographies

  • Purva Rajwade, Department of Applied Mathematics, Institute of Engineering and Technology, DAVV, Indore, M.P.-452020, India.
    Research Scholar, Department of Applied Mathematics
  • Rachna Navalakhe, Department of Applied mathematics and Computational Science, SGSITS, M.P. -452003, India.
    Assistant Professor, Department of Applied Mathematics and Computational Science

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Published

2024-03-01

Issue

Vol. 51 (2024)

Section

Volume 51-2024

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