商拓扑结构变化的信息分析模型
ynamic information analysis model based on quotient space topology
针对动态变化数据的信息分析，给出利用论域元素之间拓扑结构的变化来定义商拓扑[T]的方法，并给出了对应的商空间链定义；简单介绍了商空间推理的2个基本原理，商空间的构建问题粒计算方法和推理原理能有效地降低求解的复杂性（最大可将指数复杂性降为线性复杂性），模仿了一种人类求解复杂问题思路：在不同粒度的世界上分析问题，能够很快地从一个粒度世界跳到另一个粒度的世界，往返自如，毫无困难地在不同粒度世界处理问题的能力。
In order to analyze dynamic data, we propose a technique in which variation of elements’ topology structures can be used directly to define quotient topology structure [T]. The definition of quotient space chain based on this novel technique is further presented. Two basic principles of the reasoning process in the quotient space are given to imitate the human’s thought of solving complex problems. The method to construct granularities and the principles to reason can greatly reduce the complexity at the utmost from exponential to linear.
张铃、何富贵、赵姝、张燕平、陈洁
数学自动化基础理论
商拓扑商空间推理商空间链
quotient topologyquotient space reasoningquotient space chains
张铃,何富贵,赵姝,张燕平,陈洁.商拓扑结构变化的信息分析模型[EB/OL].(2010-03-11)[2025-08-05].http://www.paper.edu.cn/releasepaper/content/201003-305.点此复制
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