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Research Article | Open Access

Some new results on fuzzy soft r-minimal spaces

Department of Basic Sciences, Higher Institute of Engineering and Technology, Menoufia, Egypt
Department of Mathematics, Faculty of Science, Sohag University, Egypt
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Abstract

As a weaker form of fuzzy soft r-minimal continuity by Taha (2021), the notions of fuzzy soft almost (respectively (resp. for short) weakly) r-minimal continuous mappings are introduced, and some properties are given. Also, we show that every fuzzy soft r-minimal continuity is fuzzy soft almost (resp. weakly) r-minimal continuity, but the converse need not be true. After that, we introduce a concept of continuity in a very general setting called fuzzy soft r-minimal ( A , B , C , D )-continuous mappings and investigate some properties of these mappings.

Keywords

fuzzy soft r-minimal spacefuzzy soft almost (weakly) r-minimal continuityfuzzy soft r-minimal (A, B, C, D)-continuityfuzzy soft r-minimal C-compactness
CLC number: 06D72, 54A40, 54C05, 54D30

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12458-12470
DOI: 10.3934/math.2022691

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Taha IM. Some new results on fuzzy soft r-minimal spaces. AIMS Mathematics, 2022, 7(7): 12458-12470. https://doi.org/10.3934/math.2022691

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Received: 06 January 2022
Revised: 12 March 2022
Accepted: 21 March 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)