LAB 1: Triangular Membership Function

Definitions:

CP (Center Point) - Point where the membership is 1.

W (Width) - support of the membership function (distance between the points (relative to the center point) at which the membership is zero).

Preparation:

Write the equation for a triangular membership function that is independent of the center point and the width.

Lab:

1. Write an m-file that implements a triangular membership function. The function returns a single value for the input. The center point and width are also inputs.

The function call should be in the form:

y = Triang(x, CP, width)

2. Try different input values, x, and obtain plots for the lab report.

Lab Report

Include at a minimum:

1. Description of the assignment.

2. Equation derivation for membership functions.

3. Description of each membership function (i.e. why they would be used).

4. Relevant observations and conclusions.