Fuzzy Signatures in
Student: Bai Qifeng
Client: Prof. Tom Gedeon
Problem of Fuzzy Theory
A Major issue in fuzzy applications is how to create
the number of rules have an exponential increase
with the number of inputs and terms.
| R | O (T k )
At least one activated rule for every input.
e.g. 5 terms, 2 inputs => 25 rules
5 terms, 5 inputs => 3,125 rules
Fuzzy signatures structure data into vectors
of fuzzy values, each of which can be a
Fuzzy signatures can be regarded as Special
multidimensional fuzzy data. Some of the
dimensions are interrelated in the sense that
they form sub-group of variables, which jointly
determine some feature on a higher level.
The relationship between higher and lower
levels is govern by fuzzy aggregations.
Appropriate aggregations used in their child
signatures are not necessary identical.
They can be changed based on expert
opinions and detailed circumstance.
Fuzzy Signatures in SARS
The following scheme is of some daily symptom
signatures of patients:
12 pm 12 pm
f ever fever
4 pm 4 pm
AS 8 pm AS 8 pm
Automatically Construct Fuzzy
Searches the features of data structure,
classify data based on their relevance and
cluster the high relevant data.
With clustering, the known situation can be
used to build the model and then it can be
used to another situation where it is not
Creating a cluster tree.
Objective Function Method
Solving problems about fuzzy boundary in
evaluating relevance of objects
Standardizing raw data
Choosing proper cluster algorithm and
appropriate data pretreatment, try to find the
appropriate fuzzy signatures
After constructing the fuzzy signature, with
aggregations, we can effectively reduce the
number of rules in this fuzzy system.