edited by
4,530 views
0 votes
0 votes
Fuzzy logic is used in artificial intelligence. In fuzzy logic, a proposition has a truth value that is a number between 0 and 1, inclusive.A proposition with a truth value of 0 is false and one with a truth value of 1 is true. Truth values that are between 0 and 1 indicate varying degrees of truth. For instance, the truth value 0.8 can be assigned to the statement “Fred is happy,” because Fred is happy most of the time, and the truth value 0.4 can be assigned to the statement “John is happy,” because John is happy slightly less than half the time. Use these truthvalues to solve below exercise.

The truth value of the disjunction of two propositions in fuzzy logic is the maximum of the truth values of the two propositions. What are the truth values of the statements “Fred is happy, or John is happy” and “Fred is not happy, or John is not happy?”
edited by

1 Answer

2 votes
2 votes

The truth value of "Fred is happy" is 0.8.
The truth value of "John is happy" is 0.4.

The truth value of the negation of a proposition in fuzzy logic is 1 minus the truth value of the proposition.

So, 
The truth value of "Fred is not happy" is 1 - 0.8 = 0.2
The truth value of "John is not happy" is 1 - 0.4 = 0.6.

The truth value of the disjunction of two propositions in fuzzy logic is the maximum of the truth values of the two propositions.

“Fred is happy, or John is happy"

max(0.8, 0.4) = 0.8

“Fred is not happy, or John is not happy”

max(0.2, 0.6) = 0.6

Related questions