A method of ascertaining fuzzy covering based on a family of fuzzy concepts

Zhan-Jing Wang, Jiao-Ying Wang, Fachao Li
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Abstract

Aiming at the covering of the rough set attribute reduction and on the foundation of rough set model proposed by Zakowski, this paper builds a fuzzy similarity relation by using some properties of fuzzy sets. Moreover, we discuss the method of ascertaining fuzzy covering based on a family of fuzzy concepts, and propose the concept of fuzzy covering. The impact of precision change on coverings ascertained by fuzzy sets is analyzed. These results provide a foundation for the application of covering based rough set models to fuzzy attributes.
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基于一组模糊概念确定模糊覆盖的方法
针对粗糙集属性约简的覆盖问题,在Zakowski粗糙集模型的基础上,利用模糊集的一些性质建立了模糊相似关系。在此基础上,讨论了基于一类模糊概念确定模糊覆盖的方法,并提出了模糊覆盖的概念。分析了精度变化对模糊集确定覆盖度的影响。这些结果为基于覆盖的粗糙集模型在模糊属性中的应用奠定了基础。
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