Topological structures of intuitionistic fuzzy rough sets
Wei-Zhi Wu, Lei Zhou · 2008
In this paper, we investigate the topological structures of intuitionistic fuzzy rough sets. It is shown that an intuitionistic fuzzy rough approximation space can induce an intuitionistic fuzzy topological space if and only if the intuitionistic fuzzy relation in the approximation space is reflexive and transitive. The sufficient and necessary conditions that an intuitionistic fuzzy interior (closure, respectively) operator in an intuitionistic fuzzy topological space can associaete with an intuitionistic fuzzy reflexive and transitive relation such that the inducing intuitionistic fuzzy rough lower (upper, respectively) approximation operator is the intuitionistic fuzzy interior (closure, respectively) operator are also examined.