Dependency on Rough Set Approximation Spaces

In Rough Set Theory, dependency in the knowledge base is an important aspect when drawing inferences about the world. Rough set (inexact set) is defined by using a fixed binary relation (equivalence relation, tolerance relation, similarity relation, etc) to analyze vague, imprecise, inexact problems, which satisfy many interesting properties. The neighborhood based rough set theory is an extension of traditional rough set theory to handle with more complex practical problems. In this paper we discuss the dependency in the knowledge representation systems defined on three different I-neighborhood approximation operators and a covering approximation operator.