Artificial Intelligence for Big Data

ANFIS architecture and hybrid learning algorithm

At the core of the ANFIS architecture is the adaptive network that uses the supervised learning algorithm. Let's understand this with a simple example. Consider that there are two inputs, x and y, and an output, z. We can consider the use of two simple rules in the method of if-then as follows:

Rule 1: If x is A₁ and y is B₁ then z₁ = p₁x + q₁x + r₁

Rule 2: If x is A₂ and y is B₂ then z₂ = p₂y + q₂y + r₂

A1, A2 and B1, B2 are the membership functions of each input x and y. p1, q1, r1 and p2, q2, r2 are linear parameters of the fuzzy inference model. 

Let's illustrate this with a diagram:

The ...