Constructing Fuzzy Signature Based on Medical Data. Student: Bai Qifeng Client: Prof. Tom Gedeon. Proposal. Explore an approach to automatic construct Fuzzy signature based on medical database It contains three questions:
Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.
Student: Bai Qifeng
Client: Prof. Tom Gedeon
Explore an approach to automatic construct
Fuzzy signature based on medical database
It contains three questions:
If 50m/h is the boundary of “slow” and “fast” , Conventional bivalent sets regards 50.1m/h as fast.
What if current speed is 49.9m/h?
In real world, it should be a smooth shift.
e.g. 5 terms, 2 inputs => 25 rules
5 terms, 5 inputs => 3,125 rules
Sparse Fuzzy System
Hierarchical Fuzzy System
Sparse Hierarchical Fuzzy Rule Bases
Bezdek define objective function as :
represents the deviation of data with centre. The number m governs the influence of membership grades. uij represents the degree of membership of the data point xj belonging to v .
. X is a vector of variables, where
is a vector of r<p latent variables called factors, is a (p*r) matrix of coefficients (loadings),
is a vector of random errors.
. x is the p dimensional variables, where U is an orthogonal matrix.
Collected data can represent the pattern of the disease more accurately.
Accumulative contribution ratio = 63%
It denotes that variables could be divided into 3 factors
---- Bai Qifeng
Fuzzy control is the most important current application in fuzzy theory.
Usually, three steps in Fuzzy control:
The application is to balance a pole on a mobile platform that can move in only two direction, to the left or the right. The angle between the platform and the pendulum and the angular velocity of this angle are chosen as the inputs of the system. Output is corresponding to the speed of the platform.
If angle is zero and angular velocity is zero
then speed is also zero.
If angle is zero and angular velocity is low
then the speed shall be low.
"if angle is zero and angular velocity is zero, the speed is zero".
"if angle is zero and angular velocity is negative low, the speed is negative low".
"if angle is positive low and angular velocity is zero, the speed is positive low".
In most cases, parameter tuning involves the reshaping of the fuzzy sets in the rule antecedents. It can happen that the shrinking of the fuzzy sets leads to gaps between neighboring fuzzy sets.
IF colour = Red THEN it is Ripe
IF colour = Green THEN it is Unripe
Potential tomato colours:
vi is cluster center of i set
represents the deviation of data with . The number m governs the influence of membership grades.
Here, we define weights are:
fever = 1, Cough = 0.9, Nausea = 0.4, Sore = 0.25