Set-valued information systems are generalized single-valued information systems. In this paper, by introducing a type of dominance relation to set-valued ordered information systems, we establish dominance-based rough set approach and propose a ranking approach for all objects based on the dominance classes. Furthermore, we discuss dominance rules, propose attribute reductions of consistent se...

in this paper, we introduce λκ−closed sets and study its properties in generalized topological spaces.

Classification of voluminous protein data based on the structural and functional properties is a challenging task for researchers in bioinformatics field. In this paper a faster, accurate and efficient classification tool Rough Set Protein Classifier has been developed which has a classification accuracy of 97.7%. It is a hybridized tool comprising Sequence Arithmetic, Rough Set Theory and Conc...

We present a survey of clustering methods based on rough set data analysis.

Fuzzy sets and rough sets are known as uncertainty models. They are proposed to treat different aspects of uncertainty. Therefore, it is natural to combine them to build more powerful mathematical tools for treating problems under uncertainty. In this chapter, we describe the state of the art in the combinations of fuzzy and rough sets dividing into three parts. In the first part, we first desc...

Rough set theory (RST) is a modern tool for dealing with uncertainty, granularity, and incompleteness of knowledge in information systems. One of the limitations of RST is its dependence on portioning the universe according to equivalence relation on the universe of objects in information systems. The purpose of this paper is to construct connections between generalized rough sets based on cove...

This paper deals with multi- objective nonlinear programming problem having rough intervals in the constraints. The problem is approached by taking maximum value range and minimum value range inequalities as constraints conditions, reduces it into two classical multi-objective nonlinear programming problems, called lower and upper approximation problems.  All of the lower and upper approximatio...