Type-2 fuzzy sets applied to multivariable self-organizing fuzzy logic controllers for regulating anesthesia

• Type-2 self-organizing fuzzy logic controllers for automatic anesthesia control.
• Type-2 SOFLC use type-2 fuzzy sets to handle anesthesia control uncertainties.
• Data capturing inter and intra-patient variability used to define type-2 fuzzy sets.
• Simulations show effectiveness of type-2 SOFLC in control of anesthetic infusion under noisy and uncertain surgical conditions.
• Type-2 SOFLC are able to outperform the existing type-1 SOFLC.

In this paper, novel interval and general type-2 self-organizing fuzzy logic controllers (SOFLCs) are proposed for the automatic control of anesthesia during surgical procedures. The type-2 SOFLC is a hierarchical adaptive fuzzy controller able to generate and modify its rule-base in response to the controller's performance. The type-2 SOFLC uses type-2 fuzzy sets derived from real surgical data capturing patient variability in monitored physiological parameters during anesthetic sedation, which are used to define the footprint of uncertainty (FOU) of the type-2 fuzzy sets. Experimental simulations were carried out to evaluate the performance of the type-2 SOFLCs in their ability to control anesthetic delivery rates for maintaining desired physiological set points for anesthesia (muscle relaxation and blood pressure) under signal and patient noise. Results show that the type-2 SOFLCs can perform well and outperform previous type-1 SOFLC and comparative approaches for anesthesia control producing lower performance errors while using better defined rules in regulating anesthesia set points while handling the control uncertainties. The results are further supported by statistical analysis which also show that zSlices general type-2 SOFLCs are able to outperform interval type-2 SOFLC in terms of their steady state performance.

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