摘要
■-半P-集合是把动态特性引入到康托集合X中得到的一个新的数学结构与数学模型。■-半P-集合是由内P-集合X-F与康托集合X构成的集合对。利用内P-集合,给出迭代■-内嵌入信息与迭代F--内嵌入信息的F-遗传概念。迭代■-内嵌入信息的F-遗传是把生物学中的遗传与迭代■-内嵌入信息进行交叉获得的。利用这些概念,给出迭代■-内嵌入信息存在性定理、迭代■-内嵌入信息的F-遗传定理与F-遗传信息的还原定理。在此基础上,给出迭代-F-内嵌入信息的F-遗传发现与应用。■-半P-集合是研究动态系统工程的一个新理论。
F-half P-sets （F-half Packet sets） is a new mathematicat structure and model, which is obtained by introducing the dynamic characteristics into Cantor set X. The ;F-half P-sets is a pair of sets consisting of an internal packet set XF and a Cantor set XF. Based on the internal P-set XF, the concepts of iterative F-internal embedding information and its F-heredity are presented through grafting the iterative F-internal embedding information onto the heredity concept in biology. Using these concepts, existing theorems, F-heredity theo-rems, and recovery theorems of iterative F-internal embedding information are proposed. With these results, the discovery-applications of F-heredity are discussed.F-half P-sets is a new theory in the research field of dynamic system engineering.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2011年第12期2691-2695,2731,共6页
Systems Engineering and Electronics
基金
国家自然科学基金(10971186)
山东省自然科学基金(ZR2010AL019)资助课题
关键词
内P-集合
迭代F^-内嵌入信息
F-遗传
F-遗传发现-应用
internal P-set
iterative F-internal embedding information
F-heredity
discovery-applications of F-heredity
