| 软代数的表示定理 |
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| 引用本文： | 刘文奇.软代数的表示定理[J].模糊系统与数学,1999,13(1):4-9. |
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| 作者姓名： | 刘文奇 |
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| 作者单位： | 昆明理工大学基础部,昆明,650093 |
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| 基金项目： | 云南省应用基础研究基金 |
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| 摘 要： | 本文研究了集对代数，证明了集对代数是Ｆｕｚｙ格。通过引入强素理想与强素滤的概念，证明了软代数的表示定理：定义了至多只有一个不动点的复原映射的格为软代数的充要条件是它具有同构集对表示。由表示定理可得任一软代数都具有集对表示
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| 关 键 词： | 软代数 集对代数 强素滤(理想) 表示 |
Representation Theorem of Soft Algebra |
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| Liu Wenqi.Representation Theorem of Soft Algebra[J].Fuzzy Systems and Mathematics,1999,13(1):4-9. |
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| Authors: | Liu Wenqi |
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| Abstract: | In this paper,the dual set algebra is deliberated. We prove that dual set algebra is fuzzy lattice. After this,the representation theorem of soft algebra is borne out by introducing new concept of strong prime filter(ideal),namely that:the lattice equipped recovering mapping with one fixed point at most is soft if and only if it has a isomorphic dual set representation. |
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| Keywords: | Soft algebra Dual set algebra Strong prime filter(ideal) Representation |
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