A Hybrid Model through the Fusion of Type-2 Fuzzy Logic Systems and Sensitivity-Based Linear Learning Method for Modeling PVT Properties of Crude Oil Systems
Algorithm 3
Back propagation algorithm for FLS.
Initialize the parameters of all the membership functions for all the rules, , and .
Set an end criterion to achieve convergence.
Repeat
(i) for all data points () only
(a) Propagate the next data point through the FLS.
(b) Compute error.
(c) Update the parameters of the membership functions using (10), (11), and (12).
(ii) end for (*end for each input-output pair*)
(iii) Compute the root mean square relative error (RMSRE) as in (13).