Dynamic rough sets

Tom Longshaw, Sue Haines
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Abstract

Describes how fuzzy rough sets can be used as the underlying model for a semantics which describes uncertainty. This representation prevents the explosion in complexity normally associated with uncertainty. The approximation is suitable for establishing safety properties of dynamic systems which Monte Carlo techniques cannot. This paper examines the underlying mathematics and describes some of the fundamental operations of the semantics. It briefly demonstrates some of the ways we have applied the semantics and defines an efficiency measure for these rough sets which can measure the amount of information lost by any approximation.
动态粗糙集
描述如何使用模糊粗糙集作为描述不确定性的语义的基础模型。这种表示防止了通常与不确定性相关的复杂性爆炸。这种近似方法适用于建立动态系统的安全特性,而蒙特卡罗方法则不能。本文研究了语义的基础数学,并描述了语义的一些基本操作。它简要地展示了我们应用语义的一些方法,并定义了这些粗糙集的效率度量,该度量可以测量任何近似的信息丢失量。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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