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多元Newman不等式与逼近逆定理
  • 期刊名称：数学进展
  • 时间：0
  • 页码：533-545
  • 语言：中文
  • 分类：O141.1[理学—数学;理学—基础数学]
  • 作者机构：[1]中国计量学院应用数学系,浙江杭州310018
  • 相关基金：国家自然科学基金（No.90818020）
  • 相关项目：基于逼近理论的误差可控计算与可信算法研究
作者： 林绍波|曹飞龙|
关键词： L＊系统, 语构真度, 相似度, 伪度量, 伪度量空间, the system L＊, syntactical truth degree, similarity degree, pseudo-metric, the pseudo-metric space
中文摘要：

本文从语构角度出发,给出L＊系统中公式的语构真度的概念,讨论其相关的一系列性质,并进一步研究L＊系统中由语构真度诱导的公式间的相似度及伪度量,证明由语构真度诱导的伪度量空间中运算的连续性,从而为在L＊系统中基于语构理论展开近似推理提供可能的框架.

英文摘要：

In terms of syntax,the concept of the syntactical truth degree of formulas in the system L＊ is given in this paper.Then a series of the corresponding properties of the syntactical truth degree of formulas are discussed.Moreover,the similarity degree and pseudo-metric between formulas induced by syntactical truth degree are investigated.In addition,the continuity of the operations in the pseudo-metric space is proved.So then we can provide a possible framework for developing approximate reasoning based on the theory of syntax in the system L＊.

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