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Computable soft separation axioms

Published online by Cambridge University Press:  12 October 2023

S. M. Elsayed Open the ORCID record for S. M. Elsayed [Opens in a new window]  and
Keng Meng Ng
S. M. Elsayed*
Affiliation:
Maths Department, Faculty of Science, Aswan University, Aswan, Egypt
Keng Meng Ng
Affiliation:
SPMS School, NTU University, Jurong West, Singapore
*
Corresponding author: S. M. Elsayed; Email: profsalah55@yahoo.com
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Abstract

Soft sets were introduced as a means to study objects that are not defined in an absolute way and have found applications in numerous areas of mathematics, decision theory, and in statistical applications. Soft topological spaces were first considered in Shabir and Naz ((2011). Computers & Mathematics with Applications 61 (7) 1786–1799) and soft separation axioms for soft topological spaces were studied in El-Shafei et al. ((2018). Filomat 32 (13) 4755–4771), El-Shafei and Al-Shami ((2020). Computational and Applied Mathematics 39 (3) 1–17), Al-shami ((2021). Mathematical Problems in Engineering 2021). In this paper, we introduce the effective versions of soft separation axioms. Specifically, we focus our attention on computable u-soft and computable p-soft separation axioms and investigate various relations between them. We also compare the effective and classical versions of these soft separation axioms.

Keywords

Soft setscomputable soft topological spacescomputable soft separation axioms
Type
Paper
Information
Mathematical Structures in Computer Science , Volume 33 , Issue 9 , October 2023 , pp. 781 - 808
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Copyright
© The Author(s), 2023. Published by Cambridge University Press

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