8.7 For the nonlinear function y=x^3 develop a fully rule-based system using four simple rules to approximate the output y. To develop the system, partition the range of the input x, [-1,1], into five triangular MFs, and partition the output range of y, [-5, 5], into three triangular MFs. Use input labels, negative-big, negative-small, zero, positive-small and positive-big. Use output labels, negative-big, zero, and positive-big. Use the following rules for the simulation: Rule 1: IF x is zero, THEN y is zero. Rule 2: IF x positive-big, THEN y is positive-big. Rule 3: IF x is negative-small, THEN y is negative-small. Conduct a simulation for the inputs: [-2, -1.5, -0.5, 0.5, 1.5, 2.0]

8.7 For the nonlinear function y=x^3 develop a fully rule-based system using four simple rules to approximate the output y. To develop the system, partition the range of the input x, [-1,1], into five triangular MFs, and partition the output range of y, [-5, 5], into three triangular MFs. Use input labels, negative-big, negative-small, zero, positive-small and positive-big. Use output labels, negative-big, zero, and positive-big. Use the following rules for the simulation: Rule 1: IF x is zero, THEN y is zero. Rule 2: IF x positive-big, THEN y is positive-big. Rule 3: IF x is negative-small, THEN y is negative-small. Conduct a simulation for the inputs: [-2, -1.5, -0.5, 0.5, 1.5, 2.0]

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter4: Linear Functions

Section4.3: Fitting Linear Models To Data

Problem 33SE: Graph f(x)=2x10. Picka set of5 ordered pairs using inputs x=2,1,5,6,9 and use linear regression to...

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