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Article type: Research Article
Authors: Al Tahan, Madelinea | Hoskova-Mayerova, Sarkab; * | Davvaz, Bijanc
Affiliations: [a] Department of Mathematics, Lebanese International University, Bekaa, Lebanon | [b] Department of Mathematics and Physics, University of Defence in Brno, 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 in Brno, Kounicova 65, 662 10 Brno, Czech Republic. E-mail: sarka.mayerova@unob.cz.
Abstract: A multiset is a set containing repeated elements. The objective of this paper is to combine the innovative concept of multisets and polygroups. In particular, we use multisets and fuzzy multisets to introduce the concepts of multi-polygroups and fuzzy multi-polygroups respectively and we discuss their properties. Moreover, we construct fuzzy multi-polygroups from multi-polygroups.
Keywords: polygroup, multiset, fuzzy multiset, multi-polygroup, fuzzy multi-polygroup
DOI: 10.3233/JIFS-191262
Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 2, pp. 2337-2345, 2020
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