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Article

Anti-Fuzzy Multi-Ideals of Near Ring

by
Sarka Hoskova-Mayerova
1,* and
Madeline Al Tahan
2
1
Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic
2
Department of Mathematics, Lebanese International University, Bekaa 1083, Lebanon
*
Author to whom correspondence should be addressed.
Mathematics 2021, 9(5), 494; https://doi.org/10.3390/math9050494
Submission received: 19 January 2021 / Revised: 18 February 2021 / Accepted: 23 February 2021 / Published: 28 February 2021
(This article belongs to the Section D2: Operations Research and Fuzzy Decision Making)

Abstract

Recently, fuzzy multisets have come to the forefront of scientists’ interest and have been used for algebraic structures such as groups, rings, and near rings. In this paper, we first summarize the knowledge about algebraic structure of fuzzy multisets such as fuzzy multi-subnear rings and fuzzy multi-ideals of near rings. Then we recall the results from our related previous work, where we defined different operations on fuzzy multi-ideals of near rings and we generalized some known results for fuzzy ideals of near rings to fuzzy multi-ideals of near rings. Finally, we define anti-fuzzy multi-subnear rings (multi-ideals) of near rings and study their properties.
Keywords: near ring; fuzzy multi-ideal; fuzzy multi-subnear ring; anti-fuzzy multi-subnear ring; anti-fuzzy multi-ideal near ring; fuzzy multi-ideal; fuzzy multi-subnear ring; anti-fuzzy multi-subnear ring; anti-fuzzy multi-ideal

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MDPI and ACS Style

Hoskova-Mayerova, S.; Al Tahan, M. Anti-Fuzzy Multi-Ideals of Near Ring. Mathematics 2021, 9, 494. https://doi.org/10.3390/math9050494

AMA Style

Hoskova-Mayerova S, Al Tahan M. Anti-Fuzzy Multi-Ideals of Near Ring. Mathematics. 2021; 9(5):494. https://doi.org/10.3390/math9050494

Chicago/Turabian Style

Hoskova-Mayerova, Sarka, and Madeline Al Tahan. 2021. "Anti-Fuzzy Multi-Ideals of Near Ring" Mathematics 9, no. 5: 494. https://doi.org/10.3390/math9050494

APA Style

Hoskova-Mayerova, S., & Al Tahan, M. (2021). Anti-Fuzzy Multi-Ideals of Near Ring. Mathematics, 9(5), 494. https://doi.org/10.3390/math9050494

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