\(L\)-fuzzy roughness of \(n\)-ary polygroups.
type: Item
instance of: scholarly article
title: \(L\)-fuzzy roughness of \(n\)-ary polygroups.
zbMATH Open document ID: 1232.20078
author: Yong-Cai Geng
author: Sumit K. Garg
publication date: 2011-06-24T00:00:00Z
review text: 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.
reviewed by: Bijan Davvaz
Mathematics Subject Classification ID: 20N20
Mathematics Subject Classification ID: 20N25
Mathematics Subject Classification ID: 20N15
zbMATH DE Number: 5912872
zbMATH Keywords: \(n\)-ary hypergroups
zbMATH Keywords: \(n\)-ary polygroups
zbMATH Keywords: rough sets
zbMATH Keywords: rough approximation operators
zbMATH Keywords: \(L\)-fuzzy sets
MaRDI profile type: Publication
full work available at URL: s10114-011-9465-4
OpenAlex ID: W2154727533
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DOI: 10.1007/S10114-011-9465-4
published in: Acta Mathematica Sinica, English Series
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description: scientific article; zbMATH DE number 5912872