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

Won Keun Min
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Won Keun Min: Department of Mathematics, Kangwon National University, Chuncheon 24341, Korea

Mathematics, 2020, vol. 8, issue 5, 1-12

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.

Keywords: formal context; formal concept lattice; soft context; soft concept; soft concept lattice; consistent set; reduct (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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