Generalized textural rough sets: Rough set models over two universes

The aim of this paper is to reveal the useful aspects of textures for generalized approximation spaces in rough set theory. To this end, we present a counterpart of rough sets over two universes for textures. We compare the textural results with the well-known basic properties of rough sets given in the literature. First, we define a t-seriality and a t-inverse seriality in textures. We show that almost all basic results with respect to rough set model over two universes can be formulated using textures. On the way, we give new results and observations due to lower and upper approximation operators which are not taken into consideration by the researchers. Moreover, we also discuss the revised approximation operators and attribute oriented formal concept lattices in a textural framework.