信息扩散理论的泛函分析
Functional analysis of Information diffusion theory
对针对小样本数据的建模方法信息扩散理论进行泛函分析,发现信息扩散生成的模糊空间是原空间的完备化空间,与原空间等距同构,可用以建立正确反映原空间的模型;隶属函数在模糊集上必有解,故信息扩散原理存在,在模糊集上建立的模型可解即模型有效。
Give a functional analysis to the information diffusion theory, which is a small sample based modeling method. And found that the fuzzy space generated by proliferation of information is the completion space of the original space, they are isometry. Thus in the completion space accurate model reflect the original space can be establish. Membership functions must have solutions in fuzzy set, so information diffusion theory exists. That means the models based on fuzzy set are solvable and effective.
刘可晶
数学
信息扩散模糊集完备空间
Information diffusionFuzzy setcomplete space
刘可晶.信息扩散理论的泛函分析[EB/OL].(2010-01-28)[2025-08-18].http://www.paper.edu.cn/releasepaper/content/201001-1245.点此复制
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