Fuzzy \(\alpha-\psi^*\) operator on fuzzy hyperconnected, fuzzy door and fuzzy Urysohn spaces

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DOI:

https://doi.org/10.26637/MJM0804/0092

Abstract

In this paper, based on the concept of \(\psi^*\) operator on a family of fuzzy \(\alpha\)-open sets in a fuzzy topological space, the notion of fuzzy \(\alpha-\psi^*\) semi-open sets is introduced and fuzzy \(\alpha-\psi^*\) hyperconnected spaces is established via fuzzy \(\alpha-\psi^*\) semi-open sets. Likely, the ideas of fuzzy \(\alpha-\psi^*\)-submaximal spaces, fuzzy \(\alpha-\psi^*\)-door spaces and fuzzy \(\alpha-\psi^*\)-Urysohn spaces are established and a few of their captivating properties are examined.

Keywords:

dense sets, Fuzzy \(\alpha-\psi^*\)-semi-open sets, fuzzy \(\alpha-\psi^*\)-dense sets, fuzzy \(\alpha-\psi^*\)-hyperconnected spaces, fuzzy \(\alpha-\psi^*\)-nowhere, fuzzy \(\alpha-\psi^*\)-submaximal spaces, fuzzy \(\alpha-\psi^*\)-submaximal spaces

Mathematics Subject Classification:

Mathematics
  • M. Rowthri Department of Mathematics, Sri Sarada College for Women, Salem-636016, Tamil Nadu, India.
  • B. Amudhambigai Department of Mathematics, Sri Sarada College for Women, Salem-636016, Tamil Nadu, India.
  • Pages: 1890-1893
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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Published

01-10-2020

How to Cite

M. Rowthri, and B. Amudhambigai. “Fuzzy \(\alpha-\psi^*\) Operator on Fuzzy Hyperconnected, Fuzzy Door and Fuzzy Urysohn Spaces”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1890-3, doi:10.26637/MJM0804/0092.