The degree of truth denotes the extent to which a proposition is true.
For example, in standard mathematics, the proposition zero belongs to the set { 0 } has a degree of truth of 1 (true), while proposition one belongs to the set { 0 } has a degree of truth of 0 (false). In fuzzy logic, the degree of truth of a proposition may be any real in [0,1]. It is possible to build a fuzzy set F so that the proposition zero belongs to F has a degree of truth of 1/2.
Degree of truth should not be confused with a probability: the previous sentence does not mean that zero has a one in two chance of being present in F. Example : the proposition July 4, 1897 was a sunny day in NYC has some degree of truth. Either this day was indeed sunny, and the degree of truth would be close to 1, or it was cloudy and the degree of truth would be close to 0.
Degrees of truth are often confused with probabilities, although they are conceptually distinct, because fuzzy truth represents membership in vaguely defined sets, not likelihood of some event or condition.
Degree of truth should not be confused with a probability The word probability derives from the Latin probare (to prove, or to test).
Degrees of truth are often significant in artificial intelligence Artificial intelligence (also known as machine intelligence and often abbreviated as AI) is intelligence exhibited by any manufactured (i.e.
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