| 模糊完备格范畴中的乘积和余积 |
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| 引用本文： | 周异辉,马崛.模糊完备格范畴中的乘积和余积[J].山东大学学报(理学版),2012,47(8):122-126. |
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| 作者姓名： | 周异辉 马崛 |
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| 作者单位： | 1. 陕西师范大学计算机科学学院,陕西西安,710062
2. 榆林学院数学系,陕西榆林,719000 |
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| 基金项目： | 国家自然科学基金资助项目(11001158);陕西师范大学博士科研启动费 |
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| 摘 要： | 讨论了以L-模糊完备格为对象、以保任意L-模糊集并的映射为态射的L-模糊完备格范畴LSUP中的乘积和余积,给出了乘积和余积的具体结构,推广了经典完备格范畴的结论,为研究此范畴的其他性质打下了基础。
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| 关 键 词： | L-模糊偏序集 L-模糊完备格 范畴 乘积 余积 |
The products and coproducts in the category of fuzzy complete lattices |
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| ZHOU Yi-hui,MA Jue.The products and coproducts in the category of fuzzy complete lattices[J].Journal of Shandong University,2012,47(8):122-126. |
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| Authors: | ZHOU Yi-hui MA Jue |
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| Institution: | 1.School of Computer Science,Shaanxi Normal University,Xi’an 710062,Shaanxi,China; 2.Department of Mathematics,Yulin University,Yulin 719000,Shaanxi,China) |
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| Abstract: | The products and coproducts in the category of L-fuzzy complete lattices are discussed,which consists of L-fuzzy complete lattices and mappings preserving the suprema of arbitrary L-fuzzy sets.The concrete structures of the products and coproducts in this category are given,which generalizes the case of the category of classical complete lattices.The study of products and coproducts lays a foundation on the study of the other properties of the category of L-fuzzy complete lattices. |
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| Keywords: | L-fuzzy poset L-fuzzy complete lattice category product coproduct |
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