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Attribute Reduction in Soft Contexts Based on Soft Sets and Its Application to Formal Contexts

Author

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  • Won Keun Min

    (Department of Mathematics, Kangwon National University, Chuncheon 24341, Korea)

Abstract

We introduce the notion of the reduct of soft contexts, which is a special notion of a consistent set for soft contexts. Then, we study its properties and show that this notion is well explained by the two classes, 1 0 and 2 0 , of independent attributes. In particular, we describe in detail how to extract a reduct from a given consistent set. Then, based on this extraction process, we propose a six-step method for constructing a reduct from a given consistent set. Additionally, to apply this method to formal contexts, we examine the relationship between the reducts of a given formal context and the reducts of the associated soft context. We finally illustrate the process of obtaining reducts in a formal context using this relationship and the six-step method using an example.

Suggested Citation

  • Won Keun Min, 2020. "Attribute Reduction in Soft Contexts Based on Soft Sets and Its Application to Formal Contexts," Mathematics, MDPI, vol. 8(5), pages 1-12, May.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:5:p:689-:d:353187
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    References listed on IDEAS

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    1. Won Keun Min, 2019. "Consistent Sets of Soft Contexts Defined by Soft Sets," Mathematics, MDPI, vol. 7(1), pages 1-13, January.
    2. Ch., Aswani Kumar & Dias, Sérgio M. & Vieira, Newton J., 2015. "Knowledge reduction in formal contexts using non-negative matrix factorization," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 109(C), pages 46-63.
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    Cited by:

    1. Jianfeng Xu & Chenglei Wu & Jilin Xu & Lan Liu & Yuanjian Zhang, 2023. "Stream Convolution for Attribute Reduction of Concept Lattices," Mathematics, MDPI, vol. 11(17), pages 1-19, August.

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