Question

Define characteristic function of a set A

Answer 1

It can be a partial member of the set. The key difference between a crisp set and a fuzzy set is their membership function. A crisp set has unique membership function, whereas a fuzzy set can have an infinite number of membership functions to represent it.

Answer 2



In mathematics, an indicator functionor a characteristic function is afunction defined on a set X that indicates membership of an element in a subset A of X, having the value 1 for all elements of A and the value 0 for all elements of X not in A. It is usually denoted by a symbol 1 or I, sometimes in boldface or ...