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直觉 Fuzzy集的基本定理 被引量:18

Basic Theorems of the Intuitionistic Fuzzy Sets
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摘要 提出直觉 Fuzzy集的截集的概念 ,并详细讨论其基本性质 ,在此基础上建立直觉 Fuzzy集的一系列分解定理、表现定理与扩张原理 . The concepts of cutsets of the intuitionistic fuzzy set are introduced, and their basic properties are discussed in detail. Based on this, a series of decomposition, expression theorems and extension principles for intuitionistic fuzzy sets are established.
作者 刘华文
出处 《工科数学》 2000年第1期55-60,共6页 Journal of Mathematics For Technology
关键词 直觉Fuzzy集 截集 分解定理 表现定理 扩张原理 intuitionistic fuzzy sets cutsets decomposition theorems expression theorems extension principles complete lattice binary nested sets
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参考文献7

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  • 2Atanassov K. Interval valued intuitionistic fuzzy sets[J]. Fuzzy Sets and Systems, 1989, 31:343-349.
  • 3王戈平.不分明集的一个分解定理及其在不分明拓扑中的应用[J].科学通报,1981,26:259-259.
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