Topic: Operations on fuzzy sets. Who can explain the problem?

Question

Discrete Math

I analyze the problem from here: https://studopedia.info/6-65837.html

How are graphics built in the solution according to those given above? In the sense: Figure 2 - The membership function of the set. and Figure 3-4.
How did it happen?

Answer 1

Read the theory. Repeat the definition of a fuzzy set, its membership functions and operations on fuzzy sets. What does NOT B mean? Since the probability of belonging to B is f(x), then the probability of not belonging is obviously - 1-f(x). So Figure 2 shows the function 1-f(x), where it f(x)is shown on the graph for b.
With intersections, probably, functions are multiplied, and when combined, 1-(1-f(x))(1-g(x)).