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If F is a fuzzy subset of X characterized by its membership function x^: X -* [0, 1],
then the proposition "Kis F" induces a possibility distribution n r that is equal to F.
Equivalently, "Kis F" translates into the possibility assignment equation Tly = F, ...
Indeed, every locally □ntcgrahle function fix) generates a distribution through the
relation: (f. <*>) = Jufix)<bix) dx. The linearity and continuity of this functional can
he readily proved. The distributions produced by locally integrable functions ...
Specific comparisons of the two distributions can be read from this plot as well. If
the overall configuration is reasonably straight and parallel to the y = x line, the
two distributions are the same except for the positions of their centers (for
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