Modeling the dynamics of nonlinear systems represents a challenge for systems engineers and computer scientists. Given the relationship between x and y in Figure 1. Use a fuzzy logic method to describe their relationship. You need to provide: 1. How many rules are needed for y to build a model as a function of x? 2. Show and write the rules at each domain of the problem on the given plot. 3. Write down the rules in the form of IF-Then rules using symbols. You do not have to make any computations to find the linear equation parameters' values. 0.8 0.6 0.4 0.2 O ^ -0.2 -0.4 -0.6 -0.8 -18 10 20 30 40 50 60 70 Figure 1: Relationship between X and Y Modeling the dynamics of nonlinear systems represents a challenge for systems engineers and computer scientists. Given the relationship between x and y in Figure 1. Use a fuzzy logic method to describe their relationship. You need to provide: 1. How many rules are needed for y to build a model as a function of x? 2. Show and write the rules at each domain of the problem on the given plot. 3. Write down the rules in the form of IF-Then rules using symbols. You do not have to make any computations to find the linear equation parameters' values. 0.8 0.6 0.4 0.2 O ^ -0.2 -0.4 -0.6 -0.8 -18 10 20 30 40 50 60 70 Figure 1: Relationship between X and Y