Generalized dominance-based rough set model for the dominance intuitionistic fuzzy information systems

Abstract

A dominance-based rough set approach was proposed by replacing the indiscernibility relation with a dominance relation. The aim of this paper is to present a new extension of the dominance-based rough set by means of defining a new dominance relation, i.e., generalized dominance-based rough set model is proposed based on the dominance intuitionistic fuzzy information systems. To get the optimal decision rules from the existing dominance intuitionistic fuzzy information systems, a lower and upper approximation reduction and rule extraction algorithm are investigated. Furthermore, several properties of the generalized dominance-based rough set model are given, and the relationships between this model and the others dominance-based rough set models are also examined.