Consider a fuzzy set old as defined below Old = {(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)} Then the alpha-cut for alpha = 0.4 for the set old will be (A) {(40, 0.4)} (B) {50, 60, 70, 80} (C) {(20, 0.1), (30, 0.2)} (D) {(20, 0), (30, 0), (40, 1), (50, 1), (60, 1), (70, 1), (80, 1)}
**Description** : Consider a fuzzy set old as defined below
Old = {(20, 0.1), (30, 0.2), (40, 0.4), (50, 0.6), (60, 0.8), (70, 1), (80, 1)}
Then the alpha-cut for alpha = 0.4 for the set old will be
(A) {(40, 0.4)}
(B) {50, 60, 70, 80}
(C) {(20, 0.1), (30, 0.2)}
(D) {(20, 0), (30, 0), (40, 1), (50, 1), (60, 1), (70, 1), (80, 1)}

**Answer** : (D) {(20, 0), (30, 0), (40, 1), (50, 1), (60, 1), (70, 1), (80, 1)}