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Article | Open Access

Soft Homogeneous Components and Soft Products

Department of Mathematics and Statistics, Jordan University of Science and Technology, Irbid 22110, Jordan
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Abstract

Firstly, for the topological spaces that contain a minimal open set, we obtain various inclusions between minimal open sets and homogeneity components. For a given soft topological space (X,τ,A), we define soft homogeneous components. We show that soft homogeneous components of (X,τ,A) form a soft partition of the absolute soft set. Also, we show that (X,τ,A) is soft homogeneous if and only if it has only one soft homogeneous component. Moreover, we study the relationships between the soft homogeneous components of (X,τ,A) and the homogeneous component. For the soft topological spaces that contain a minimal soft open set, we obtain various inclusions between minimal soft open sets and soft homogeneity components. In addition, we show that soft homeomorphisms stabilize soft homogeneous components. Additionally, we introduce two soft product theorems concerning soft homogeneity and soft minimality, respectively.

Keywords

soft homogeneitysoft minimalityhomogeneous componentssoft product

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Fuzzy Information and Engineering
Volume 16 Issue 1,
March 2024
Pages 24-32
DOI: 10.26599/FIE.2023.9270029
Cite this article:
Al Ghour S. Soft Homogeneous Components and Soft Products. Fuzzy Information and Engineering, 2024, 16(1): 24-32. https://doi.org/10.26599/FIE.2023.9270029

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Received: 28 January 2021
Revised: 08 November 2023
Accepted: 10 December 2023
Published: 30 March 2024
© The Author(s) 2024. Published by Tsinghua University Press.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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