|
The degree of truth denotes the extent to which a proposition is true.
For example, in standard mathematics, the proposition zero blongs 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 as 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.
|