Fuzzy Sets and Systems Flashcards
Fuzzy Logic Defenition
Multivariate logic that allows intermediate values between convetional (binary) evaluators like:
yes/no
true/false
black/white
In Fuzzy systems, an attempt is made to apply a more ___ to the programming of computers
human-like way of thinking
Example of The Sorites Paradox
How many clouds does it take to make a clear sky cloudy?
Graduality/Fuzziness is the Conceptualization of the world based on concepts of ___, ___ and ___ (impreciseness)
similarity, gradualness and fuzziness
Precision vs Relevance
Some time it is better to be relevant than to be precise. Example of the heavy weight dropping on top of someone
Incompatibility Principle
As the complexity os systems increases, the hability to make relevant statements diminishes
Fuzzy Sets
Sets with fuzzy (gradual) boundaries
Integers larger than 3 are an example of Crisp or Fuzzy Sets?
Crisp
Tall people are an example of Crisp or Fuzzy Sets?
Fuzzy
What are Memberships Functions on Fuzzy Sets?
Functions that define if a point belongs to the fuzzy set
Partition in Fuzzy Sets represents the division of the set into parts?
Yes
Linguist Terms examples of Age
Young -> Old
Really Young -> Young but not too Young -> Not young not old ->…
Core of Fuzzy Sets
Where the membership function is 1
Support of Fuzzy Sets
Where the membership function is more than 0
Singleton of Fuzzy Sets
Exception on membership function
A Fuzzy Set is called normal if ___, otherwise it is called ___
its height is one
subnormal
Set Theoric Operations:
1- Subset -> A contains B if ___
2- Complement -> Complement of A = X-A equivalent to ___
3- Union -> ___ of A and B membership functions
4- Intersection -> ___ of A and B membership functions
1- membership degree of A is less or equal to membership degree of B
2- membership degree of A = 1 - membership degree of B
3- Max
4- Min
Mamdani Fuzzy Models are composed by a set of ___ rules where both ___ and ___ are fuzzy sets
if-then
antecedents
concequents
Fuzzifier its an ___ between the ___ and the fuzzy system
interface
outside world
A fuzzifier determines the match between ___ and the ___
a given input
linguistic terms
Fuzzyfication is process of computing the ___ for crisp inputs or ___ for fuzzy inputs
membership
maximum membership
Rulebase ___ the general relation between the ___ and the ___
encodes
inputs
outputs
Inference Engine combines actual ___ with the ___ in the rule base to compute the ___ of the system
inputs
information encoded
fuzzy output
The Degree of Fulfillment of the Inference Engine determines ___ the rule is ___
to what degree
valid