多层多维物元系统可拓集及其性质  

Multilayer multidimensional matter element system extension set and its properties

作　　者：曹少中[1] 艾冬梅[2] 杨国为[3] 涂序彦[2] 

机构地区：[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

出　　处：《北京科技大学学报》2005年第5期638-640,共3页Journal of University of Science and Technology Beijing

基　　金：国家自然科学基金资助课题(No.60375014)

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.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.

关 键 词：多层多维物元系统可拓集 正域 负域 可拓域 稳定域 

分 类 号：O144[理学—数学] N94[理学—基础数学]