How to determine mathematical membership functions and graphs?

How can we determine mathematical membership functions and graphs ? eg Fuzzy sets A, B and C defined on real numbers by the membership functions: $\mu_A(x)=\frac{1}{x+1}, \mu_B(x)=\frac{1}{x^2+10}, \mu_C(x)=\frac{1}{10^x}$ Determine mathematical membership functions and graphs of each of the following ? A $\cup$ B B $\cap$ C A $\cup$ B $\cup$ C A $\cap$ B $\cap$…

Are there any strategies that would help me visualize the ‘behavior space’ and make a novelty function?

In “Abandoning Objectives: Evolution through the Search for Novelty Alone”, it is explained how the novelty search is a function that is domain specific, depending on the differing behaviors that can potentially emerge. The primary test is a deceptive maze and it seems like they define novelty as a function that is dependent on each…