\(L\)-fuzzy roughness of \(n\)-ary polygroups.
The notion of \(n\)-ary hypergroups is introduced by Davvaz and Vougiouklis as a generalization of hypergroups. Special subclass of \(n\)-ary hypergroups is \(n\)-ary polygroups. The notion of \(n\)-ary subpolygroups is investigated by \textit{B. Davvaz, P. Corsini} and \textit{V. Leoreanu-Fotea} [Comput. Math. Appl. 57, No. 1, 141-152 (2009; Zbl 1165.20323)], \textit{B. Davvaz} and \textit{V. Leoreanu-Fotea} [Comput. Math. Appl. 57, No. 8, 1413-1424 (2009; Zbl 1186.20055)], \textit{O. Kazancı}, \textit{B. Davvaz} and \textit{S. Yamak} [Comput. Math. Appl. 58, No. 7, 1466-1474 (2009; Zbl 1189.20069); J. Intell. Fuzzy Syst. 20, No. 4-5, 159-168 (2009; Zbl 1180.20063)]. Now, in this paper, the authors consider the relation among \(L\)-fuzzy sets, rough sets and \(n\)-ary polygroups. Some properties of (normal) \(TL\)-fuzzy \(n\)-ary subpolygroups of an \(n\)-ary polygroup are investigated.
scientific article; zbMATH DE number 5912872
scientific article