控制问题中不确定因素的变化范围通常是有界的,因此可把不确定性描述为“集”,从而能用集合论方法讨论不确定性系统。
In control problems the uncertain variables are often bounded, thus uncertainty can be spoken of as "sets" and uncertain systems can be studied by the methods of set theory.
文中证明古典集合论与近代公理集合论中的任何一个无穷集合都是自相矛盾的非集。
In this paper, we prove that there is an inconsistency in any infinite set of the classical set theory or the modern axiomatic set theory.
利用覆盖空间,得到了粗糙集和拓扑中更深刻的性质,从算子论和集合论的角度丰富和深化了粗糙集与拓扑的内容。
Furthermore the deeper properties of rough sets and topology are achieved by covering Spaces, and rough sets theory and topology have been enriched from the operator-oriented and set-oriented views.
利用覆盖空间,得到了粗糙集和拓扑中更深刻的性质,从算子论和集合论的角度丰富和深化了粗糙集与拓扑的内容。
Furthermore the deeper properties of rough sets and topology are achieved by covering Spaces, and rough sets theory and topology have been enriched from the operator-oriented and set-oriented views.
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