A filter acting on digital image signals for apparatus of the video type includes at least first and second processing units adapted to elect an image edge, each processing unit includes an inferential circuit operating on fuzzy logic, which has first and second input terminals and an output terminal, and first and second comparison elements each having first and second input terminals and an output terminal, the input terminals being intended for receiving discrete digital signals of an image. The output terminals of the first and second comparison elements in the first processing unit are respectively connected to the first and second input terminals of the inferential circuit included in the first processing unit, and the output terminals of the first and second comparison elements in the second processing unit are respectively connected to the first and second input terminals of the inferential circuit included in the second processing unit.