Zhang, Keming \(L\)-fuzzy subfields and \(L\)-fuzzy linear spaces. (Chinese. English summary) Zbl 1046.15003 J. Math., Wuhan Univ. 24, No. 1, 53-58 (2004). Summary: We introduce the concepts of \(L\)-fuzzy subfields and \(L\)-fuzzy linear spaces over \(L\)-fuzzy subfields, where \(L\) is a completely distributive lattice. Furthermore, we give some characterizations by the theory of \(L_\alpha\)-nested sets and \(L_\beta\)-nested sets. MSC: 15A03 Vector spaces, linear dependence, rank, lineability 06D10 Complete distributivity 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces 08A72 Fuzzy algebraic structures Keywords:\(L\)-fuzzy subfields; \(L\)-fuzzy linear space; \(L_\alpha\)-nested sets; \(L_\beta\)-nested sets; distributive lattice PDFBibTeX XMLCite \textit{K. Zhang}, J. Math., Wuhan Univ. 24, No. 1, 53--58 (2004; Zbl 1046.15003)