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Attribute reduction of SE-ISI concept lattices for incomplete contexts.
Soft Computing ( IF 3.1 ) Pub Date : 2020-09-06 , DOI: 10.1007/s00500-020-05271-2
Zhen Wang 1, 2 , Ling Wei 1, 2 , Jianjun Qi 2, 3 , Ting Qian 2, 4
Affiliation  

Three-way concept analysis in incomplete contexts lays the theory dealing with the data in incomplete contexts, especially three kinds of partially known formal concepts including SE-ISI formal concept, ISE-SI formal concept and ISE-ISI formal concept. Generally speaking, not every attribute is essential in an incomplete context since the purpose of research is different. Thus, we propose four kinds of attribute reduction of SE-ISI concept lattices based on different criteria. Then, we discuss the relationships among the four kinds of attribute reduction, including the relationships among the consistent sets and relationships among the reducts. Finally, based on discernibility matrices and discernibility functions, the approaches to obtaining these attribute reduction are presented.



中文翻译:

不完整上下文的 SE-ISI 概念格的属性减少。

不完全上下文中的三向概念分析奠定了在不完全上下文中处理数据的理论,特别是SE-ISI形式概念、ISE-SI形式概念和ISE-ISI形式概念这三种部分已知的形式概念。一般来说,由于研究的目的不同,并非每个属性在不完整的上下文中都是必不可少的。因此,我们提出了四种基于不同标准的 SE-ISI 概念格的属性约简。然后,我们讨论了四种属性约简之间的关系,包括一致集之间的关系和约简之间的关系。最后,基于可辨别矩阵和可辨别函数,提出了获得这些属性约简的方法。

更新日期:2020-09-07
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