Chon, Inheung Fuzzy ideals generated by fuzzy subsets in semigroups. (English) Zbl 1247.20074 Commun. Korean Math. Soc. 27, No. 3, 465-475 (2012). Summary: We characterize the fuzzy ideal generated by a fuzzy subset in a semigroup and the fuzzy interior ideal generated by a fuzzy subset in a semigroup. Our work generalizes the characterizations [Z. Mo and X. Wang, Inf. Sci. 86, No. 4, 203-210 (1995; Zbl 0870.20059)] of those fuzzy ideals generated by fuzzy subsets in semigroups with an identity element. Cited in 1 Document MSC: 20N25 Fuzzy groups 20M12 Ideal theory for semigroups Keywords:t-norms; fuzzy ideals; fuzzy interior ideals; fuzzy sets in semigroups Citations:Zbl 0870.20059 PDFBibTeX XMLCite \textit{I. Chon}, Commun. Korean Math. Soc. 27, No. 3, 465--475 (2012; Zbl 1247.20074) Full Text: DOI