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为了解决只需要考虑属性区间集到对象区间集的问题，将经典半概念理论引入三支区间集中，对于一个模糊形式背景，定义了面向属性的模糊区间集半算子，用此算子得到模糊AE-区间集半概念；讨论了该类半概念的偏序关系和格结构，进而得到求同一形式背景下模糊AE-区间集半概念全体的算法。对偶地，得到模糊OE-区间集半概念定义和其格结构，以及寻找模糊OE-区间集半概念全体的算法。所得结果有助于拓展概念格和区间集理论的应用范围，也为知识提取提供了一种有益的方法。
Abstract：In order to solve the problem of only considering the attribute interval-set to the object interval-set, the classical semiconcept theory was introduced into the fuzzy three-way interval-set. For a fuzzy formal context, attribute-induced fuzzy interval-set semioperator was defined, which was used to obtain fuzzy AE-interval-set semiconcept. And furthermore, a partial order relation and the correspondent lattice structure were discussed. As a result, an algorithm of searching out all of fuzzy AE-interval-set semiconcepts in a formal context was acquired. Dually, the definition and the correspondent lattice structure of fuzzy OE-interval-set semiconcept were obtained. Meanwhile, an algorithm of searching all of fuzzy OE-interval-set semiconcepts was got. The obtained results were helpful to expand the applications of theories of formal concept lattice and interval-set, and also useful for knowledge extraction.
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基本信息:
DOI：10.13705/j.issn.1671-6841.2022172
中图分类号:O225
引用信息:
[1]毛华,牛振华,马经泽,等.基于模糊三支区间集半概念知识提取方法研究[J].郑州大学学报(理学版),2024,56(01):81-87.DOI:10.13705/j.issn.1671-6841.2022172.
基金信息:
国家自然科学基金项目(61572011)
2022-06-24
2022
2024-03-22
2024
3
2023-05-28
2023-05-28
2023-05-28