The truth value of the negation of a proposition in fuzzy logic is 1 minus the truth value of the proposition. What are the truth values of the statements “Fred is not happy” and “John is not happy?”

Solution:Step1Given thatWe have to find what are the truth values of the statements “Fred is not happy” and “John is not happy”If The truth value for the negation of a proposition in fuzzy logic is 1 minus the truth value of the proposition.Step2The truth value for the statement “Fred is happy” =0.8The truth value for the statement “John is happy” =0.4Therefore,The truth value for the statement “Fred is not happy” = 1-0.8 = 0.2AndThe truth value for the statement “John is not happy” =1-0.4 =0.6Therefore, the truth values of the statements “Fred is not happy” is 0.2 and “John is not happy” is 0.6.