Then the α cut corresponding to α=0.5 will be
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
B. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
C. {2, 3, 4, 5, 6, 7, 8, 9, 10}
D. { }
Answer:C
Then the α cut corresponding to α=0.5 will be
A. {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} B. {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} C. {2, 3, 4, 5, 6, 7, 8, 9, 10} D. { }
Explanation: An alpha-cut of the membership function A (denoted aA) is the set of all x such that A(x) is greater than or equal to alpha. Similarly, a strong alpha-cut (denoted a+A) is the set of all x such that A(x) is strictly greater than alpha.