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| 多层多维物元系统可拓集及其性质 | |
| 引用本文： | 曹少中 艾冬梅 杨国为 涂序彦. 多层多维物元系统可拓集及其性质[J]. 北京科技大学学报, 2005, 27(5): 638-640 |
| 作者姓名： | 曹少中 艾冬梅 杨国为 涂序彦 |
| 作者单位： | [1]北京理工大学信息科学技术学院,北京100081 [2]北京科技大学信息工程学院,北京100083 [3]青岛大学,青岛266071 |
| 摘 要： | 为了研究多层多维复杂系统的矛盾问题,运用可拓学原理,在n维物元可拓集概念的基础上,提出了多层多维物元系统可拓集及其正域、负域、零界的概念,给出了多层多维物元系统可拓集的可拓域、稳定域的定义,讨论了多层多维物元系统可拓集的一些性质.最后研究了多层多维物元系统可拓集的交、并等运算. |
| 关 键 词： | 多层多维物元系统可拓集 正域 负域 可拓域 稳定域 物元系统 物元可拓集 性质 properties extension set system matter element multidimensional 运算 稳定域 可拓域 负域 正域 原理 可拓学 运用 矛盾问题 复杂系统 研究 |
| 收稿时间： | 2004-09-14 |
| 修稿时间： | 2005-01-10 |
Multilayer multidimensional matter element system extension set and its properties |
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| CAO Shaozhong, AI Dongmei, YANG Guowei, TU Xuyan. Multilayer multidimensional matter element system extension set and its properties[J]. Journal of University of Science and Technology Beijing, 2005, 27(5): 638-640 | |
| Authors: | CAO Shaozhong AI Dongmei YANG Guowei TU Xuyan |
| Affiliation: | 1. School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China; 2. Information Engineering School, University of Science and Technology Beijing, Beijing 100083, China ;3. Qingdao University, Qingdao 266071, China |
| Abstract: | In order to study contradictory problems ofmultilayer multidimensional complex systems, based on the concept of n-dimensional matter element extension set, the concepts of multilayer multidimensional matter element system extension set and its positive field, negative field, zero boundary and its extension field as well as its stable field were given. The properties, intersection and union operations of multilayer multidimensional matter element system extension set were also discussed. |
| Keywords: | multilayer multidimensional matter element system extension set positive field, negative field,extension field stable field |
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