系统工程理论与实践
繫統工程理論與實踐
계통공정이론여실천
Systems Engineering—Theory & Practice
2010年
11期
1986~1997
,共null页
模糊邻近关系 模糊粒度空间 一致聚类 最佳聚类 聚类融合
模糊鄰近關繫 模糊粒度空間 一緻聚類 最佳聚類 聚類融閤
모호린근관계 모호립도공간 일치취류 최가취류 취류융합
fuzzy proximity relation; fuzzy granular space; consistent clustering; optimal clustering; clustering fusion
在有序粒度空间理论的基础上,提出了基于模糊邻近关系的结构聚类分析理论和方法.首先,给出了依据距离的一致聚类的概念,提出了模糊粒度空间的一致聚类特征;其次,给出了模糊邻近关系结构聚类的粒度表示,并获得了基于模糊邻近关系结构聚类的快速算法;进而,提出了获取最佳聚类的新方法,并且这一方法是全局最优的;最后,给出了通过两个模糊邻近关系的交运算获取结构聚类融合的方法.为复杂系统结构分析研究提供了一整套理论工具和方法.
在有序粒度空間理論的基礎上,提齣瞭基于模糊鄰近關繫的結構聚類分析理論和方法.首先,給齣瞭依據距離的一緻聚類的概唸,提齣瞭模糊粒度空間的一緻聚類特徵;其次,給齣瞭模糊鄰近關繫結構聚類的粒度錶示,併穫得瞭基于模糊鄰近關繫結構聚類的快速算法;進而,提齣瞭穫取最佳聚類的新方法,併且這一方法是全跼最優的;最後,給齣瞭通過兩箇模糊鄰近關繫的交運算穫取結構聚類融閤的方法.為複雜繫統結構分析研究提供瞭一整套理論工具和方法.
재유서립도공간이론적기출상,제출료기우모호린근관계적결구취류분석이론화방법.수선,급출료의거거리적일치취류적개념,제출료모호립도공간적일치취류특정;기차,급출료모호린근관계결구취류적립도표시,병획득료기우모호린근관계결구취류적쾌속산법;진이,제출료획취최가취류적신방법,병차저일방법시전국최우적;최후,급출료통과량개모호린근관계적교운산획취결구취류융합적방법.위복잡계통결구분석연구제공료일정투이론공구화방법.
On the basis of fuzzy granular space,structural clustering analysis based on fuzzy proximity relations is proposed.Firstly,the concept of consistent clustering according to metric is proposed,and the research on consistent clustering of a fuzzy granular space is given.Secondly,the granular representation on structural clustering of a fuzzy proximity relation is studied,and the algorithm to obtain its structural clustering is given.Thirdly,the research to determine the optimal clustering based on a fuzzy granular space from a fuzzy proximity relation is proposed,and a new method to obtain it is given,which the new method is overall.Finally,the fusion technology is attained by applying the intersection operation of two fuzzy proximity relations.These conclusions provide a comprehensive theoretical tool and methodologies for studying structural analysis of complicated systems.
