Abstract
This study stresses the issue of mapping convex and normal fuzzy sets by a function. It is proved that a function mapping a space into another induces from a normal fuzzy set in the domain space a normal fuzzy set. It is also proved that if the function is real-valued of a real variable and possesses the continuity property, then it maps a convex fuzzy set, defined on its domain, into a convex fuzzy set on its range. This, however, holds under some restrictions on the support and the membership function of the fuzzy set defined over the domain of the function. In addition, an algorithm for fast approximate plot of the fuzzy set induced from a convex one defined over the real line by a continuous real-valued function is described.
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