4 votes

A ________ point of a fuzzy set $A$ is a point $x \in X$ at which $\mu_{A} (x) = 0.5$

- Core
- Support
- Crossover
- $\alpha$-cut

3 votes

Best answer

Ans is C

The Crossover point of a fuzzy set is the element in U at which its membership function is 0.5

The Support of a fuzzy set F is the crisp set of all points in the Universe of Discourse U such that the membership function of F is non-zero.

if membership is 1 then it is core of a fuzzy set

alpha cut (or λͅ -cut) can be anything from 0 to 1 (0<= λͅ<=1)

μA(x)=0.5

The Crossover point of a fuzzy set is the element in U at which its membership function is 0.5

The Support of a fuzzy set F is the crisp set of all points in the Universe of Discourse U such that the membership function of F is non-zero.

if membership is 1 then it is core of a fuzzy set

alpha cut (or λͅ -cut) can be anything from 0 to 1 (0<= λͅ<=1)

μA(x)=0.5