Affiliations: [a] Department of Mathematics, Lebanese International University, Bekaa, Lebanon
| [b] Department of Mathematics and Physics, University of Defence, Kounicova 65, Brno, Czech Republic
| [c] Department of Mathematics, Yazd University, Yazd, Iran
Correspondence:
[*]
Corresponding author. Sarka Hoskova-Mayerova, Department of Mathematics and Physics, University of Defence, Kounicova 65, 662 10 Brno, Czech Republic. E-mail: sarka.mayerova@unob.cz.
Abstract: In recent years, fuzzy multisets have become a subject of great interest for researchers and have been widely applied to algebraic structures including groups, rings, and many other algebraic structures. In this paper, we introduce the algebraic structure of fuzzy multisets as fuzzy multi-subnear rings (multi-ideals) of near rings. In this regard, we define different operations on fuzzy multi-ideals of near rings and we generalize some results known for fuzzy ideals of near rings to fuzzy multi-ideals of near rings.
Keywords: Near ring, multiset, fuzzy multiset, fuzzy multi-ideal, fuzzy multi-subnear ring
