Uniqueness conditions of C-L-structures in G(L)-structure equivalence classes of system reconstructability analysis
文献类型：期刊论文
| 作者 | Shu, GF |
| 刊名 | INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
 |
| 出版日期 | 1999 |
| 卷号 | 28期号:4-5页码:367-382 |
| 关键词 | system reconstructability analysis logical relations C-L-structure uniqueness conditions G(L) equivalence class |
| ISSN号 | 0308-1079 |
| 英文摘要 | This paper first introduces the basic notions of overall systems with logical relations, their subsystems, structure representation graphs, sets of H-structures and G-structures with logical relations S-H(L) and S-G(L), immediate refinement and aggregate with logical relations, structure-graph mappings r(V)(L), r(G)(L), etc., and the notions of inclusiveness with logical relations, upper bounding and lower bounding with logical relations. Then it proves the sufficient conditions under which representation graphs R-L form a lattice. By defining the least upper bound and largest lower bound of (R-L, subset of or equal to(L)) and recommending a lemma on distributivity, this paper proves the sufficient conditions under which G-structures with logical relations form Boolean lattices. Finally after defining the M-structures and C-structures with logical relations, i.e. M-L-structures and C-L-structures, this paper proposes the sufficient conditions for the uniqueness of C-L-structures in C-L-structure equivalence classes, and proves that the C-L-structure is the least refined G(L)-structure in equivalence class S-G(L)/r(G)(L). |
| 语种 | 英语 |
| WOS记录号 | WOS:000083480700005 |
| 出版者 | GORDON BREACH SCI PUBL LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/14441]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Shu, GF |
| 作者单位 | Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shu, GF. Uniqueness conditions of C-L-structures in G(L)-structure equivalence classes of system reconstructability analysis[J]. INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,1999,28(4-5):367-382. |
| APA | Shu, GF.(1999).Uniqueness conditions of C-L-structures in G(L)-structure equivalence classes of system reconstructability analysis.INTERNATIONAL JOURNAL OF GENERAL SYSTEMS,28(4-5),367-382. |
| MLA | Shu, GF."Uniqueness conditions of C-L-structures in G(L)-structure equivalence classes of system reconstructability analysis".INTERNATIONAL JOURNAL OF GENERAL SYSTEMS 28.4-5(1999):367-382. |
入库方式： OAI收割
来源：数学与系统科学研究院
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