| 双枝模糊集的表现定理 |
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| 引用本文： | 刘刚,陈守煜.双枝模糊集的表现定理[J].大连理工大学学报,2000,40(3):263-266. |
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| 作者姓名： | 刘刚 陈守煜 |
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| 作者单位： | 大连理工大学,土木建筑学院,辽宁,大连,116024 |
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| 基金项目： | 山东省自然科学基金资助项目!( Y96G0 3 10 2 ) |
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| 摘 要： | 在双枝模糊集基本理论的基础上，提出双枝模糊集的表现定理，即用一个集合套表示一个双枝模糊集，以分解定理和集合套为工具给出定理的证明，表现定理从另一个层面表达了双枝模糊集的基本特征。
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| 关 键 词： | 模糊接吻函数 双枝模糊集 集合套 表现定理 |
Representation theorem in both-branch fuzzy sets |
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| LIU Gang,CHEN Shou-yu.Representation theorem in both-branch fuzzy sets[J].Journal of Dalian University of Technology,2000,40(3):263-266. |
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| Authors: | LIU Gang CHEN Shou-yu |
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| Abstract: | Based on the research for the fundamental theory of both branch fuzzy sets, this paper proposes representation theorem in both branch fuzzy sets, which uses a set cover to represent a both branch fuzzy set. Making use of decomposition theorem and set covers as the tool, the proof for theorem is given. Representation theorem reflects the basic characteristics of both branch fuzzy sets from another side. |
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| Keywords: | fuzzy sets/fuzzy kiss function ordinary union decomposition theorem set covers representation theorem |
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