文献类型：期刊文献

中文题名：虫口模型的模糊化及其相关性分析

英文题名：Fuzzification and Relativity Analysis of Logistic Mappings

作者：莫红[1];石松泉[2]

机构：[1]上海财经大学应用数学系;[2]绍兴文理学院机电工程系

年份：2005

卷号：33

期号：5

起止页码：92

中文期刊名：华南理工大学学报：自然科学版

收录：CSTPCD、、北大核心2004、Scopus、CSCD2011_2012、北大核心、CSCD

语种：中文

中文关键词：虫口模型;模糊化;相关性分析;语言动力系统;扩展原理

外文关键词：logistic mapping; fuzzification; relativity analysis; linguistic dynamic system; extension principle

中文摘要：为了比较与语言动力系统(LDS)对应的常规动力系统(CDS)的性质,将虫口模型xn+1=βxn(1-xn),β∈(0,4]模糊化,并采用内截图法分析其稳定性、倍周期分支和混沌性质.通过将虫口模型模糊化,不仅保留了CDS的性质,还可以简化所研究系统状态的描述,使系统的输出更加人性化,从而为未来智能计算机的发展提供理论依据.

外文摘要：In order to compare the property of CDS (Conventional Dynamic System) corresponding to LDS (Linguistic Dynamic System), the logistic mapping x n+1-=βx n(1-x n),β∈(0,4] is fuzzificated, whose stability, bifurcation and chaotic property are then analyzed by means of the inner section mapping. The fuzzification of the logistic mapping can not only retain the property of CDS but also simplify the description of system states and humanize the outputs of the system. So, a theoretical foundation is laid for the development of intelligent computers in the future.