Consistent Sets of Soft Contexts Defined by Soft Sets

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

Mathematics, 2019, vol. 7, issue 1, 1-13

Abstract: We introduce the notion of consistent sets of soft contexts and investigate its characterizations. For the purpose of studying the characterizations of consistent sets, we introduce the notions of 1 0 and 2 0 classes of independent attributes. By studying the characterizations, we determined that every consistent set has to contain the special class 1 0 called the Essential Zone of consistent sets. This is very important information that we should consider when constructing consistent sets of a given soft context. Additionally, we study the fundamental theorems necessary to construct the consistent sets of a given soft context. In particular, we apply the Fundamental Theorem 2 to obtain the consistent sets of a given soft context, and show that this fundamental theorem provides a more effective way of constructing the consistent sets of a formal context.

Keywords: formal context; soft set; soft context; soft concept; soft concept lattice; consistent set (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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