Topological approximations based on relations induced from differences

The starting point of rough set theory is the indiscernibility relation, which is generated by information about objects of interest. The indiscernibility relation is intended to express the fact that due to the lack of knowledge we are unable to discern some objects employing the available information. Therefore, generally, we are unable to deal with single object. Nevertheless, we have to consider clusters of indiscernible objects. In this paper, a relationship was created through a table of given data. This relationship is based on the expert's opinion in the field of data. Based on this relationship, we constructed a topological under the lowest possible conditions. This topology describes the roughness of the set and shows that the intermittent topology obtained is stronger and more precise than others Other studies, also in this paper, compared the approximations obtained using the precision scale to determine the best.