Saikia, Helen K.; Barthakur, Lila K. On fuzzy \(N\)-subgroups and fuzzy ideals of near-rings and near-ring groups. (English) Zbl 1060.16052 J. Fuzzy Math. 11, No. 3, 567-580 (2003). Summary: In this paper we investigate some characteristics of fuzzy \(N\)-subgroups and fuzzy ideals of a near-ring. The notions of fuzzy near-ring subgroups and fuzzy ideals of a near-ring group are introduced. The factor \(N\)-group induced by a fuzzy ideal is also defined. Finally, some characterizations of strong near-rings are given in terms of fuzzy ideals. Cited in 4 Documents MSC: 16Y30 Near-rings 16D25 Ideals in associative algebras 20N25 Fuzzy groups Keywords:fuzzy \(N\)-subgroups; fuzzy ideals; near-rings PDFBibTeX XMLCite \textit{H. K. Saikia} and \textit{L. K. Barthakur}, J. Fuzzy Math. 11, No. 3, 567--580 (2003; Zbl 1060.16052)