Lesson 5

Hi everyone,

In this lesson we will explain of the the main rules of Fuzzy Clustering [C][Bvideo] but not all of them, so you can use the link for further information. (main idea [1])

In this lesson we are eager to explain more about the schematics of fuzzy clusters; in order to start our job of using fuzzy logics we have to learn some basic rules.

let's take a look at a sample figure below, fuzzy clusters are something like this:

As you can see above, the cluster is made up of 3 main parts ( Core, Support and Boundaries ) and you can see a various amount of data shown by bold line on the shape, that represents the data with different degree of membership.

Core, is actually the main part of the data (X), that has 100% applicable for the cluster, and the degree of membership or probability of them is equal to 1 .

Support, is the various amount of members of variable X, that can be named or be included under the cluster umbrella.The available amount of this range can be changed between -∞ ≤X≤+∞.

Boundaries, are representing the range of data, which their degree of membership is between 0<X<1.

In conclusion, we can represent our fuzzy cluster using this basics but not necessarily using right line, trapezoids, triangle or rectangular; We could also use Gaussian, Gamble or other types of functions, which satisfies the main rules of our theory ( Will be explained in feature lessons).

Sincerely yours,

Babak Vaheddoost [p]