Consistent Sets of Soft Contexts Defined by Soft Sets

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