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L-fuzzy子域与L-fuzzy线性空间的新刻画
引用本文:杜萍,吴广庆.L-fuzzy子域与L-fuzzy线性空间的新刻画[J].数学杂志,2008,28(6).
作者姓名:杜萍  吴广庆
作者单位:暨南大学珠海学院基础部,广东,珠海,519070
摘    要:本文研究了L-fuzzy子域与L-fuzzy线性空间的性质.借助于Fuzzy集A的水平截集A(a),得到了若干新的等价刻画.且直接和方便于应用.

关 键 词:L-fuzzy子域  L-fuzzy线性空间  完全分配格

NEW CHARACTERIZATIONS OF L-FUZZY SUBFIELDS AND L-FUZZY LINEAR SPACES
DU Ping,WU Guang-qing.NEW CHARACTERIZATIONS OF L-FUZZY SUBFIELDS AND L-FUZZY LINEAR SPACES[J].Journal of Mathematics,2008,28(6).
Authors:DU Ping  WU Guang-qing
Abstract:The purpose of this paper is to study the properties of L-fuzzy subfields and L-fuzzy linear spaces. By means of level cut set A(a) of an L-fuzzy set A under some conditions, we obtain some new equivalent characterizations about them such that their representations are more direct and more convenient to apply.
Keywords:L-fuzzy subfields  L-fuzzy linear spaces  completely distributive lattice
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