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Rough Relation Properties

Nicoletti M. C., Uchoa J. Q., Baptistini M. T. Z.

International Journal of Applied Mathematics and Computer Science

2001

Vol. 11, no 3

621-635

Rough Set Theory (RST) is a mathematical formalism for representing uncertainty that can be considered an extension of the classical set theory. It has been used in many different research areas, including those related to inductive machine learning and reduction of knowledge in knowledge-based systems. One important concept related to RST is that of a rough relation. This paper rewrites some properties of rough relations found in the literature, proving their validity.

On rough relations

Chakrabarty K., Biswas R., Nanda S.

Foundations of Computing and Decision Sciences

1998

Vol. 23, No. 4

241-252

A notion of rough relation is introduced which is capable of handling some situations in which there exists a relationship between two subclasses of elements of an approximation space. In this context, a concept of a generated approximation space is defined. Several real life examples are given where appli cations of this type of rough relations could be made. It is seen that the rough relations already defined by Pawlak can be reduced to our notion of definition. Yet, we make a study of this particular notion because of its easy scope of applications while dealing with some real-life situations.