The extension of the rough set theory based on parallel equivalence operator in pansystems

The concept of parallel equivalence operator arises from the equivalence operator and the pansystems series-parallel model, by which a family of arbitrary binary relations can be converted into equivalence relations. This paper presents the pansystems rough set based on parallel equivalence operator, which provides a new thought to process rough sets with non-equivalence relations(incomplete, uncertain, or vague information), as well as makes the rough set theory more practical in applications.