Soft Computing

Andrea Bonarini

8 October 2015

Membership Function and concepts

Propertise of a frame of cognition

each fuzzy set is called a granule

Coverage:each value belong at least to a value

Robustness

$\alpha$-cuts

Support of a fuzzy set

Height of a fuzzy set

Strange MF

####Singleton A fuzzy set with one member

Standard operators of fuzzy sets

Complement

$\mu_f(x)=1-\mu_f(x)$

Union

The maximum of two fuzzy sets

Intersection