多层高维动态可拓集合及其性质  

Multilayer Multidimensional Dynamic Extension Set and Its Properties

作　　者：曹少中[1] 杨国为[2] 涂序彦[3] 刘贺平[3] 

机构地区：[1]北京印刷学院信息与机电工程学院,北京102600 [2]青岛大学模式识别与智能系统研究所,山东青岛266071 [3]北京科技大学信息工程学院,北京100083

出　　处：《系统工程理论与实践》2006年第5期128-134,共7页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金(60375014);山东省自然科学基金(Y2002G16)

摘　　要：为了研究多层高维动态复杂系统矛盾问题,在n维动态可拓集合基础上,提出了多层高维动态可拓集合及其可拓域、稳定域的概念,并讨论了多层高维动态可拓集合的交、并运算.这些研究结果把可拓集合理论扩展到了更一般情况,为提出多层高维动态物元可拓集等概念提供了理论依据,使可拓学用于复杂系统概念设计成为可能.In order to study the contradiction problems of multilayer multidimensional dynamic complex systems, in this paper, based on n-dimensional dynamic extension set, the concepts of multilayer multidimensional dynamic extension set and its extension field as well as its stable field are given. Then the operations of intersection and union of multilayer multidimensional dynamic extension set are discussed. The results of study expand extension set to a general situation, these results provide the theoretical basis for production of the concepts of multilayer multidimensional dynamic matter element extension set. In this way, it will be possible that extenics is used to the conceptual design of complex systems.

关 键 词：多层高维动态可拓集合 可拓域 稳定域 

分 类 号：N94[自然科学总论—系统科学] O144[理学—数学]