Consistent Sets of Soft Contexts Defined by Soft Sets

Autor: Won Keun Min
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Mathematics, Vol 7, Iss 1, p 71 (2019)
Druh dokumentu: article
ISSN: 2227-7390
DOI: 10.3390/math7010071
Popis: 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.
Databáze: Directory of Open Access Journals
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