Homomorphisms-based attribute reduction of dynamic fuzzy covering information systems

Homomorphisms-based attribute reduction of dynamic fuzzy covering information systems
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基于同态的动态模糊覆盖信息系统属性约简

DOI:
10.1080/03081079.2015.1011631
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发表时间:
2015-03
影响因子:
2
通讯作者:
Guangming Lang
Guangming Lang
中科院分区:
计算机科学3区
文献类型:
--
作者:
Guangming Lang

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信息系统同态对覆盖信息系统的属性约简做出了重要贡献。然而,在同态上所做的努力是远远不够的。本文进一步研究了动态模糊覆盖信息系统属性约简的同态问题。首先,提出了邻域和诱导模糊覆盖的概念,并详细讨论了它们的性质。然后,我们引入了相容函数和模糊覆盖映射的概念,为压缩模糊覆盖信息系统提供了基本的理论基础。然后,提出了同态的概念,揭示了模糊覆盖信息系统之间的关系。我们展示了如何大规模的模糊覆盖信息系统和动态模糊覆盖信息系统可以压缩成较小的同态。最后,通过实例表明,该方法可以大大简化属性约简过程。
Information system homomorphisms have made a substantial contribution to attribute reduction of covering information systems. However, the efforts made on homomorphisms are far from sufficient. This paper further studies homomorphisms for attribute reduction of dynamic fuzzy covering information systems. First, the concepts of neighbourhood and induced fuzzy covering are proposed and their properties are discussed in detail. Then, we introduce the concepts of consistent functions and fuzzy covering mappings providing a basic theoretical foundation for compressing fuzzy covering information systems. Afterwards, the notion of homomorphisms is presented to reveal the relationship between fuzzy covering information systems. We show how large-scale fuzzy covering information systems and dynamic fuzzy covering information systems can be compressed into smaller ones by means of homomorphisms. Finally, illustrative examples are employed to show that attribute reduction can be simplified significantly by our proposed approach.
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