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<p>In this paper, two representations of binary relations by means of Galois adjunctions and the newly introduced complete distributors are constructed. A binary relation can be uniquely determined by a Galois adjunction, a complete distributor respectively. Under a new description of formal contexts, instead of attribute reduction, the object reduction problem of attribute-oriented concept lattice is studied and related algorithm is designed.</p>

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Representations of binary relations and object reduction of attribute-oriented concept lattices

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • Wei Yao,
  • Chang-Jie Zhou

摘要

In this paper, two representations of binary relations by means of Galois adjunctions and the newly introduced complete distributors are constructed. A binary relation can be uniquely determined by a Galois adjunction, a complete distributor respectively. Under a new description of formal contexts, instead of attribute reduction, the object reduction problem of attribute-oriented concept lattice is studied and related algorithm is designed.