Anti-Fuzzy Multi-Ideals of Near Ring

Sarka Hoskova-Mayerova and Madeline Al Tahan
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Sarka Hoskova-Mayerova: Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic
Madeline Al Tahan: Department of Mathematics, Lebanese International University, Bekaa 1083, Lebanon

Mathematics, 2021, vol. 9, issue 5, 1-11

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
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