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<p>A covering can be used for problem solving. In this paper, we use covering methods to study isomorphic relationships among various concept lattices. We use the lattices induced by coverings to characterize various concept lattices, and set up isomorphic relationships between the lattices induced by coverings and the various types of concept lattices. Using these isomorphic relationships, we transform attribute and object reductions for these lattices into a covering reduction. We also study the granular reduction for object-induced three-way concept lattices and provide an algorithm for identifying all granular reducts.</p>

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Using covering approaches to study concept lattices

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Guilong Liu,
  • Xiuwei Gao

摘要

A covering can be used for problem solving. In this paper, we use covering methods to study isomorphic relationships among various concept lattices. We use the lattices induced by coverings to characterize various concept lattices, and set up isomorphic relationships between the lattices induced by coverings and the various types of concept lattices. Using these isomorphic relationships, we transform attribute and object reductions for these lattices into a covering reduction. We also study the granular reduction for object-induced three-way concept lattices and provide an algorithm for identifying all granular reducts.