| L型广义扩张原理及其在模糊集范畴中的应用 |
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| 引用本文： | 李海明. L型广义扩张原理及其在模糊集范畴中的应用[J]. 上海电力学院学报, 2010, 26(3): 272-277 |
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| 作者姓名： | 李海明 |
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| 作者单位： | 上海电力学院,计算机与信息工程学院,上海,201300 |
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| 摘 要： | 首先给出了L型模糊集的广义扩张原理,并讨论了它的基本性质;然后定义了两个L型模糊集范畴■(L)与■(L),并证明了范畴■(L)与范畴Set同构且范畴■(L)同构于范畴■(L)的一个子范畴.研究结果可应用于泛型信息处理设计.
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| 关 键 词： | 范畴 L型模糊集范畴 L型模糊集的广义扩张原理 |
| 收稿时间： | 2009-06-17 |
The General Extended Principle of L-fuzzy Set and its Application |
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| LI Hai-ming. The General Extended Principle of L-fuzzy Set and its Application[J]. Journal of Shanghai University of Electric Power, 2010, 26(3): 272-277 |
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| Authors: | LI Hai-ming |
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| Affiliation: | LI Hai-ming ( School of Computer and Information Engineering, Shanghai University of Electric Power, Shanghai 201300, China) |
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| Abstract: | The general extended principle of L-fuzzy set is proposed and some of its basic properties are discussed. The L-fuzzy set categories （L） and （L） are defined and the following results are proved： Category （L） and category Set are isomorphism; Category （L） and a subcategory of （L） are isomorphism. The solution can be used in the design of generalized information systems. |
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| Keywords: | category L-fuzzy set category the general extended principle of L-fuzzy set |
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