Isomorphism Between Information Tables for Tolerance and Classical Rough Sets

Tolerance relations are more generic than equivalence relations from viewpoint of Granular Computing. But it cannot to be used to divide a set directly. Based on neighborhood system of tolerance relation, we can get the induced partition. We propose the extended information table of tolerance rough sets. An example is given to illustrate the continuity of named quotient spaces, so the information table between tolerance and classical rough set is isomorphism.