Challenge: Designing Membership Functions
Task
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You are working with fuzzy sets, where elements belong to a set with a certain degree of membership rather than a strict yes-or-no decision.
Your goal is to design a triangular membership function and use it to compute membership values for given inputs.
Instructions
- Define a function
triangular_membership(x, a, b, c):ais the left boundary;bis the peak where membership equals1;cis the right boundary.
- The function must return:
0ifxis less than or equal toaor greater than or equal toc;- a linearly increasing value between
aandb; - a linearly decreasing value between
bandc.
- Use this function to compute membership values for the inputs
2,5, and8using parametersa = 0,b = 5, andc = 10. - Store the results in the variables:
membership_low;membership_medium;membership_high.
Solution
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SectionΒ 2. ChapterΒ 4
single
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Challenge: Designing Membership Functions
Swipe to show menu
Task
Swipe to start coding
You are working with fuzzy sets, where elements belong to a set with a certain degree of membership rather than a strict yes-or-no decision.
Your goal is to design a triangular membership function and use it to compute membership values for given inputs.
Instructions
- Define a function
triangular_membership(x, a, b, c):ais the left boundary;bis the peak where membership equals1;cis the right boundary.
- The function must return:
0ifxis less than or equal toaor greater than or equal toc;- a linearly increasing value between
aandb; - a linearly decreasing value between
bandc.
- Use this function to compute membership values for the inputs
2,5, and8using parametersa = 0,b = 5, andc = 10. - Store the results in the variables:
membership_low;membership_medium;membership_high.
Solution
Everything was clear?
Thanks for your feedback!
SectionΒ 2. ChapterΒ 4
single