July2016 cs Q65

0. Compute the value of adding the following two fuzzy integers : A = {(0.3, 1), (0.6, 2), (1, 3), (0.7, 4), (0.2, 5)} B = {(0.5, 11), (1, 12), (0.5, 13)} Where fuzzy addition is defined as μA+B (z) = max x + y = z(min (μA(x), μB(x))) Then, f (A + B) is equal to

  • Option : D
  • Explanation :
    According to question: A={(0.3, 1), (0.6, 2), (1, 3), (0.7, 4), (0.2, 5)} B={(0.5,11), (1, 12), (0.5, 13)} first add the numbers(x + y = z) and write the min membership value since function is min((μA(x),μB(x)) u will get following 15 terms: {(0.3, 12), (0.3, 13), (0.3, 14), (0.5, 13), (0.6, 14), (0.5, 15), (0.5, 14), (1, 15), (0.5, 16), (0.5, 15), (0.7, 16), (0.5, 17), (0.2, 16), (0.2, 17), (0.2, 18) f(A + B) is equal to {(0.3, 12), (0.5, 13), (0.6, 14), (1, 15), (0.7, 16), (0.5, 17), (0.2, 18)} So, option (D) is correct.
Cancel reply

Your email address will not be published. Required fields are marked *


Cancel reply

Your email address will not be published. Required fields are marked *