I'm trying to learn about Fuzzy alone. I'm having difficulties with understanding intuitively the composition of a fuzzy set. According to the definition in the book:enter image description here
Composition of a fuzzy set A ⊆ X and a fuzzy relation R ⊆ X × Y shall be notated A ◦ R and defined as a fuzzy set B ⊆ Y, then
B = A ◦ R
As far as I understood that if we assume that we have 2 sets in universes X and Y. And we find the relation of these sets. Then we take another set A from universe X. If we calculate the composition of this with that relation that we calculated before we get set B which is related to set A.