粗糙集理论及其应用

ROUGH SETS: THEORY AND APPLICATION

  • 摘要: 在很多实际系统中均不同程度地存在着不确定性因素,采集到的数据常常包含着噪声、不精确甚至不完整.粗糙集理论是继概率论、模糊集、证据理论之后的又一个处理不确定性的数学工具.作为一种较新的软计算方法,粗糙集近年来越来越受到重视,其有效性已在许多科学与工程领域的成功应用中得到证实,是当前国际上人工智能理论及其应用领域中的研究热点之一.本文介绍了粗糙集理论的基本概念、特点及有关应用.

     

    Abstract: Rough sets theory is a new mathematical tool to deal with vagueness and uncertainty. Its soundness and usefulness has been proved in many real-life applications. The main problems that can be approached using rough set theory include data reduction, discovery data dependencies, generation of decision (control) algorithms from data, and so on. Hence it is a promising soft computing methodology. In this paper, the basic concepts of the rough sets theory is briefly introduced, and some applications of this theory are also discussed.

     

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