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

Table 3

Testing results for 782-dataset when predicting 𝐵_ob and 𝑃_𝑏. 𝑅²: correlation coefficient, SD: standard deviation, 𝐸_𝑎: average absolute percent relative error (AAPRE), 𝑃_𝑏: bubble-point pressure, 𝐵_ob: oil formation volume factor.

Prediction methods	𝐵ob			𝑃𝑏
	𝑅^2	SD	𝐸𝑎	𝑅^2	SD	𝐸𝑎
Type-2 fuzzy model	0.9998	0.1625	0.1	0.9894	2.347	0.3432
SBLLM	0.9826	0.4069	2.742	0.9138	1.3328	38.6214
T2-SBLLM hybrid	0.9975	0.0421	1.9866	0.9927	1.031	3.6273