Dramalidis, A.; Vougiouklis, T. Fuzzy \(H_V\)-substructures in a two dimensional Euclidean vector space. (English) Zbl 1211.20069 Iran. J. Fuzzy Syst. 6, No. 4, Spec. Issue, 1-9 (2009). The aim of this paper is to establish a connection between fuzzy substructures and \(H_v\)-structures. To this aim, the authors combine geometrical hyperoperations obtained in the two dimensional Euclidian vector space with fuzzy sets. Several hyperstructures of group-like or ring-like type are considered. These hyperstructures are further connected with theta-operations [see T. Vougiouklis, in Structure elements of hyper-structures. Proceedings of the meeting, Alexandroupolis, Greece, 2005. Xanthi: Spanidis. 53-64 (2005; Zbl 1080.20066)] to obtain more strict hyperstructures, as \(H_v\)-groups or \(H_v\)-rings (the dual ones). Reviewer: Maria-Sanziana Pop (Baia Mare) MSC: 20N20 Hypergroups 20N25 Fuzzy groups 16Y99 Generalizations 51A25 Algebraization in linear incidence geometry Keywords:\(H_v\)-structures; fuzzy sets; fuzzy \(H_v\)-groups; fuzzy \(H_v\)-rings; hyperoperations Citations:Zbl 1080.20066 PDFBibTeX XMLCite \textit{A. Dramalidis} and \textit{T. Vougiouklis}, Iran. J. Fuzzy Syst. 6, No. 4, 1--9 (2009; Zbl 1211.20069)