Probability value

Degree of truth

Discrete Set

Fuzzy sets have fixed membership values

Fuzzy sets can have elements with partial membership

Fuzzy sets have clear boundaries

Either 0 or 1, between 0 & 1

Between 0 & 1, between 0 & 1

Between 0 & 1, either 0 or 1

Collecting

data

Deriving

conclusions from knowledge base

Training

the neural network

Storing

the data

Evaluate rules

Converts fuzzy outputs into crisp outputs

Converts crisp inputs into fuzzy inputs

Sigmoid Function

Membership Function

Activation Function

It determines the center of gravity of the fuzzy output

It selects the highest membership value as the output

It calculates the average of all fuzzy outputs

Two-valued logic

Crisp set logic

Multi-valued logic

Union

Composition

Intersection

Both (a) and (b)

None of the above

A linguistic variable has linguistic values

The values of a linguistic variable are fuzzy sets