 ## Discussion Forum

 Que. Consider a fuzzy set A defined on the interval X = [0, 10] of integers by the membership Junction μA(x) = x / (x+2)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. None of the above Answer:{2, 3, 4, 5, 6, 7, 8, 9, 10}
 Milind :(February 10, 2020) I want to know the solution's explanation abhiraj bhosle : ... Sathish Janjeti : To find the α-cut of a fuzzy set A, we need to determine the values of x in the universe of discourse X for which the membership function μA(x) is greater than or equal to α. In this case, we have:μA(x) = x / (x+2) ≥ 0.5Multiplying both sides by (x+2), we get:x ≥ 0.5x + 1Subtracting 0.5x from both sides, we get:0.5x ≥ 1Dividing both sides by 0.5, we get:x ≥ 2Therefore, the α-cut of A for α = 0.5 is [2, 10]. Click Here to Reply
 Samathmika :(December 15, 2020) Starting from 0, substitute the values in the membership function. U will find that at 2 the membership function will result in 0.5 . Hence the answer is 2 to 10.Hope it helps !! Click Here to Reply
 Khan :(August 10, 2021) Consider a fuzzy set A defined on the interval X = [0, 10] of integers by the membership Junction μA(x) = x / (x+2)Then the α cut corresponding to α = 0.4will be sathish : To find the α-cut of a fuzzy set A, we need to determine the values of x in the universe of discourse X for which the membership function μA(x) is greater than or equal to α. In this case, we have:μA(x) = x / (x+2) ≥ 0.4Multiplying both sides by (x+2), we get:x ≥ 0.4x + 0.8Subtracting 0.4x from both sides, we get:0.6x ≥ 0.8Dividing both sides by 0.6, we get:x ≥ 4/3Therefore, the α-cut of A for α = 0.4 is [4/3, 10]. Click Here to Reply