Degree Dominance Set-valued Relation-based RSM in Intuitionistic Fuzzy Decision Tables

Abstract

By introducing a degree dominance relation to dominance set-valued intuitionistic fuzzy decision tables, we establish a degree dominance set-valued rough set model (RSM), which is mainly based on replacing the indiscernibility relation in classical rough set theory with the degree dominance set valued relation. To simplify knowledge representation and extract some nontrivial simpler degree dominance set-valued intuitionistic fuzzy decision rules, we propose two attribute reductions of the degree dominance set-valued intuitionistic fuzzy decision tables that eliminate the redundant condition attributes that are not essential from the viewpoint of degree dominance set-valued intuitionistic fuzzy decision rules. These results will be helpful for decision-making analysis in dominance set-valued intuitionistic fuzzy decision tables.