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投稿时间：2009-06-17
投稿时间：2009-06-17
中文摘要: 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I(L)与SH(L),并证明了范畴I(L)与范畴Set同构且范畴I(L)同构于范畴SH(L)的一个子范畴.研究结果可应用于泛型信息处理设计.
中文关键词: 范畴 L型模糊集范畴 L型模糊集的广义扩张原理
Abstract:The general extended principle of L-fuzzy set is proposed and some of its basic properties are discussed.The L-fuzzy set categories I(L) and SH(L) are defined and the following results are proved: Category I(L) and category Set are isomorphism;Category I(L) and a subcategory of SH(L) are isomorphism.The solution can be used in the design of generalized information systems.
文章编号：20100316 中图分类号： 文献标志码：
基金项目:
| 作者 | 单位 | |
| 李海明 | 上海电力学院 计算机与信息工程学院, 上海 201300 | lhm@shiep.edu.cn. |
| Author Name | Affiliation | |
| LI Hai-ming | School of Computer and Information Engineering, Shanghai University of Electric Power, Shanghai 201300, China | lhm@shiep.edu.cn. |
引用文本：
李海明.L型广义扩张原理及其在模糊集范畴中的应用[J].上海电力大学学报,2010,26(3):272-277.
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.
李海明.L型广义扩张原理及其在模糊集范畴中的应用[J].上海电力大学学报,2010,26(3):272-277.
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.