Abstract: In this paper, equality is discussed in soft-erosion and soft-dilation. In mathematical morphological environment, the property of equality does not exist. But in soft mathematical morphology, the property of equality will exist. It is going to be discussed in this paper in detail.
Keywords: Equality, Mathematical morphology, Mathematical soft morphology, Soft morphology, Erosion, Dilation, Soft erosion, Soft dilation, Primitive morphological operation.