Uniqueness conditions of C-L-structures in G(L)-structure equivalence classes of system reconstructability analysis

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	Uniqueness conditions of C-L-structures in G(L)-structure equivalence classes of system reconstructability analysis
	Shu, GF
	1999
发表期刊	INTERNATIONAL JOURNAL OF GENERAL SYSTEMS
ISSN	0308-1079
卷号	28 期号:4-5 页码:367-382
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).
关键词	system reconstructability analysis logical relations C-L-structure uniqueness conditions G(L) equivalence class
语种	英语
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Theory & Methods ; Ergonomics
WOS记录号	WOS:000083480700005
出版者	GORDON BREACH SCI PUBL LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14442
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.