Fuzzy Logic Flashcards
What are “crisp” values.
They represent precise qualities.
i.e. 2.89
What can fuzzy sets represent?
The degree to which a value is possessed.
What is the universe of discourse?
The range of values that a variable can take.
What are linguistic terms?
Words used to describe the contents in the universe of discourse.
What does µ represent?
The membership function.
What does the and symbol represent in fuzzy logic?
It gives the minimum of the two options.
For example, µA
(x) and µB
(y) = min(0.375,0.75) = 0.375
What does the or symbol represent in fuzzy logic?
It gives the maximum of the two options.
For example, µA
(x) or µB
(y) = min(0.375,0.75) = 0.75
What is a requirement for logic operations to be used on members?
They are both part of the same universe.
What does the not operator do in fuzzy logic?
It gives 1 - the membership.
For example,
µ¬B (y) = 0.25 where µ B (y) = 0.75.
What is the process of fuzzification?
Where we find memberships of inputs to fuzzy sets.
What is Rule evaluation?
When we use memberships to calculate firing strength of rules.
What is the process of defuzzification?
Aggregate across rules to form an output fuzzy set using the firing strengths, then obtain an output value.
What is the centroid?
The centre of gravity for the area
What is the bisector?
Where the area on one side of that value is equal to the area on the other side.
