Abstract:

By employing function two direction S-rough sets, the concepts of F-double rough integrals and its boundary thickness are presented. When some attributes move in or out, F-double rough integrals and the boundary thickness change, and a series of dynamic laws is discussed. F-double rough integrals are one pair of integrals and can be identified by their boundary thickness. Finally, one identification theorem and two identification principles of F-double rough integrals are given.

Key words: function two direction S-rough sets; F-double rough integrals; boundary thickness; identification