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Fuzzy Logic - Coggle Diagram
Fuzzy Logic
Membership Function
what is it
a function
input are numbers
output are probability / degree of truth
how it could be made
if else
what it does
maps input to fuzzy outputs
also known as "fungsi keanggotaan"
https://slideplayer.info/slide/13187669/
Motivation
purpose of fuzzy
mimics human decision making
"maybe yes"
as a baseline
for ANN
other classification
Sets
fuzzy set
membership values
0 is not associated at all with fuzzy set X
1 is highly associated with fuzzy set X
between if uncertain (most likely)
e.g
A = {(12, 0.2), (13, 0.4), (15, 1), (17, 0.4)}
just like ANN
this input is most strongly associated with
which element in the set?
what is it
extension of classical set
cases
discrete universe
membership values
continuous universe
integral
just loop it
operations
union
choose the maximum degree of truth for each ELEMENT
intersection
choose the minimum degree of truth for each ELEMENT
complement
1 - degree of truth for each ELEMENT
difference
MIN(A - complement(B))
Classical Set
what is it
method of membership function
if it belongs to a set, give 1, else 0
e.g
finding "true" / "false" of student if it's inside an array
"in" in javascript
cardinality
number of elements in a set
operations
union
intersection
complement
difference
Fuzzification
https://www.sciencedirect.com/topics/engineering/fuzzification
reference
https://www.youtube.com/watch?v=LUz-FbwPh3Q
https://link.springer.com/article/10.1007/s13201-020-01276-2??utm_source=other_website&error=cookies_not_supported&code=bc1bc399-fe4f-4c3e-a87a-1fd799738fce
Inference
Defuzzification
Fuzzy Database