Some new results on fuzzy soft $ r $-minimal spaces

I. M. Taha; I. M. Taha

doi:10.3934/math.2022691

AIMS Mathematics

2022, Volume 7, Issue 7: 12458-12470. doi: 10.3934/math.2022691

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Research article

Some new results on fuzzy soft $ r $-minimal spaces

I. M. Taha ^{1,2
,
,}

1.
Department of Basic Sciences, Higher Institute of Engineering and Technology, Menoufia, Egypt
2.
Department of Mathematics, Faculty of Science, Sohag University, Egypt

Received: 06 January 2022 Revised: 12 March 2022 Accepted: 21 March 2022 Published: 26 April 2022
MSC : 06D72, 54A40, 54C05, 54D30

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 $ (\mathcal{A}, \mathcal{B}, \mathcal{C}, \mathcal{D}) $-continuous mappings and investigate some properties of these mappings.
Citation: I. M. Taha. Some new results on fuzzy soft $ r $-minimal spaces[J]. AIMS Mathematics, 2022, 7(7): 12458-12470. doi: 10.3934/math.2022691

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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 $ (\mathcal{A}, \mathcal{B}, \mathcal{C}, \mathcal{D}) $-continuous mappings and investigate some properties of these mappings.

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