Yao, Bingxue; Sun, Yuzhen; Zhang, Chengyi \((\lambda,\mu)\)-fuzzy prime ideals and \((\lambda,\mu)\)-fuzzy primary ideals in semigroups. (English) Zbl 1332.20108 Fuzzy Syst. Math. 24, No. 5, 31-36 (2010). Summary: In order to generalize the notions of various fuzzy ideals in a semigroup, the concepts of \((\lambda,\mu)\)-fuzzy prime ideal and \((\lambda,\mu)\)-fuzzy primary ideal are introduced based on \((\lambda,\mu)\) cut set. Some properties of \((\lambda,\mu)\)-fuzzy prime ideal are discussed and several equivalent conditions are obtained. MSC: 20N25 Fuzzy groups 20M12 Ideal theory for semigroups Keywords:semigroups; fuzzy prime ideals; fuzzy primary ideals PDFBibTeX XMLCite \textit{B. Yao} et al., Fuzzy Syst. Math. 24, No. 5, 31--36 (2010; Zbl 1332.20108)