Note on Generalized Neighborhoods Structures in Fuzzy Bitopological Spaces

Authors

  • Ahlam Ahmed Alharbi Taibah University
  • Adem Kilicman University Putra Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v16i3.4808

Keywords:

Fuzzy bitopological spaces $(fbts)$, fuzzy generalized closed sets $(g-closed)$, fuzzy closure operator $(cl)$, fuzzy interior operator $(int)$, fuzzy generalized neigborhood $(N^{g\varphi })$, fuzzy generalized quasi neigborhood $(N^{g\varphi Q})$

Abstract

This article's main aim is to study the concepts of the generalized neighborhood and generalized quasi-neighborhood in fuzzy bitopological spaces. It also introduces fundamental theorems for determining the relationships between them. Additionally, some significant examples were examined to demonstrate the significance of the interconnections, some theorems were also introduced to study some main properties of neighborhood structures. Finally, we also studied the concepts of closure, interior, and each of their critical theories and properties by generalized neighborhood systems in fuzzy bitopological spaces.

Author Biography

  • Ahlam Ahmed Alharbi, Taibah University

    Department of Mathematics, Faculty of Science, Taibah University, Madinah 42353, Kingdom of Saudi Arabia

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Published

2023-07-30

Issue

Section

Nonlinear Analysis

How to Cite

Note on Generalized Neighborhoods Structures in Fuzzy Bitopological Spaces. (2023). European Journal of Pure and Applied Mathematics, 16(3), 1980-1990. https://doi.org/10.29020/nybg.ejpam.v16i3.4808