132 CHAPTER 3. FUZZY LOGIC FOR CONTROL
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B 1 [1, 4 ,6]andB 2 [4, 8 ,9]
and
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C 1 [1, 4 ,7]andC 2 [3, 6 ,9]
graph the aggregated fuzzy set realized by the Mamdani method
O(5,5)(z)=(A 1 (5)∧B 1 (5)∧C 1 (z))∨(A 2 (5)∧B 2 (5)∧C 2 (z))
and defuzzifyO(5,5)(z)by the ìmean of maximaî method.
- Repeat the previous exercise using the Larsen method, so that
O(5,5)(z)=((A 1 (5)∧B 1 (5))∑C 1 (z))∨((A 2 (5)∧B 2 (5))∑C 2 (z))
and defuzzify by the ìfirst of maximaî method.
- Defuzzify the following set by each ofthemethodsproposedinSection3.9.
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- Repeat the previous exercise, but assume that the domain is the set of
integers 1 ≤n≤ 10.
