… properties of covering-based rough sets. Specifically, we define the upper approximation
number to establish the matroidal structure of covering-based rough sets. So many important …

… for classical rough sets have been … , the upper approximation number is defined as a
measurement to quantify covering-based rough sets, and a pair of upper and lower approximation …

… of rough sets, we start with a binary relation and we redefine a pair of lower and upper
approximation operators using the matrix representation. Different classes of rough set algebras …

… acterization of approximation operators has been investigated by a number of … on rough set
algebras characterized by a pair of lower and upper approximation operators, and rough sets …

… a number of further properties of the upper approximation operators of fuzzy T-rough sets. …
our definition, above, for the upper approximation operator AR of a fuzzy T-rough set (X,R), is …

… be lately seen in the number of international … rough sets. Some of the toolkits, provide
advanced graphical environments that support the process of developing and validating rough set …

We propose a framework for the study of covering based rough set approximations. Three
equivalent formulations of the classical rough sets are examined by using equivalence …

… We explain the rough set approach to induction of concept approximations using the
generalized approximation spaces of the form AS = (U, I, ν) defined in Section 2.1. …

… granulation and approximation in the context of rough set theory, … We focus on the analysis
of approximation structures with … for upper approximation of the union of a finite number of sets…

… of all elements in the lower approximation of X to the total number of … of upper approximation
is the ratio of the number of all elements in the upper approximation of X to the total number …