Generalized rough equivalence and generalized rough inclusion based on equivalence operator of pansystems of rough sets

摘要

By means of equivalence operator of pansystems, common binary relation is converted into equivalence relation. Two concepts of generalized rough equivalence and generalized rough inclusion, which make rough sets deal with the matters based on non-equivalence relation, are put forward to expand the range of application of rough sets, and provide ideas for dealing with the problems of uncertain information, enable the pansystems theory and rough sets theory to combine effectively.