$\bar{F}$-law collision and system state recognition

Using dual function one direction S-rough sets, this article gives the
$\bar{f}$
-law, the
$\bar{F}$
-law, law distance and the concept of system law collided by the
$\bar{F}$
-law. The characteristics presented by the system law collided by the
$\bar{F}$
-law, the recognition of these characteristics and recognition criterion are also proposed. The dual function one direction S-rough sets is one of the basic forms of function S-rough sets. Its basic theory and application in the study of system law collision are reviewed.