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This paper presents a novel approach to automatically creating an interval type-2 fuzzy neural network (IT2-FNN) from a type-1 fuzzy TSK system (T1-TSK). The IT2-FNN is constructed in such a way that it takes advantage of the well-behaving T1-TSK. Our approach makes designing the IT2-FNN more efficient and the resulting system is expected to perform better than the T1-TSK due to the footprint of uncertainty...
Computing with words (CWW) proposed by Zadeh is an useful paradigm to mimic the human decision-making ability in a wide variety of physical and mental tasks. To realize CWW, Mendel proposed a specific architecture called perceptual computer, in which interval type-2 (IT2) fuzzy sets (FSs) and perceptual reasoning (PR) method are adopted. The PR method has been proved to have good properties (e.g....
The single-input-rule-modules (SIRMs) connected fuzzy reasoning method is an efficient way to reduce the number of fuzzy rules in the rule-based fuzzy controllers. However, there still exist fuzzy rule generation problems in the design process of the SIRMs connected fuzzy logic controllers (SIRMFLCs). To tackle this problem, this paper presents a prior information driven method for constructing the...
This paper applies prior knowledge - monotonicity and convexity - to a Single-Input-Single-Output (SISO) un-normalized interval type-2 Takagi-Sugeno-Kang (TSK) Fuzzy Logic System (FLS). Sufficient conditions are provided to guarantee its monotonicity and convexity with respect to its input, respectively. The derived monotonic conditions focus on a zeroth-order TSK fuzzy model. Also, the corresponding...
This paper mainly concerns the intelligent control of a four-rope-driven level-adjustment device with constrained outputs. In the paper, an intelligent controller based on fuzzy systems is designed for the device to adjust eccentric payloads to level and keep the rope's tension balanced. The controller is composed of two sub-controllers, each of which deals with various situations by choosing different...
To solve the level-adjusting and force-tuning problems of high accurate and costly payloads when loading and unloading, a cable-driven auto-leveling parallel robot is developed. A hierarchical fuzzy controller, which has the ability to deal with the rule explosion problem, is proposed in this paper. After a brief introduction of the architecture of the closed-loop control system for the cable-driven...
The translational oscillations with a rotational proof-mass actuator (TORA) is a well-known benchmark for examining the advantages and limitations of different nonlinear control design techniques. In this paper, a single-input-rule-modules (SIRMs) based type-2 fuzzy logic control scheme is proposed for this nonlinear multivariable system. And, genetic algorithms (GAs) are adopted to determine the...
The prior knowledge-monotonicity property-is helpful for system analysis, modeling and design, especially when no specific physical structure knowledge about systems is available. This paper presents how to use interval type-2 fuzzy logic systems (IT2FLSs) to incorporate the monotonicity property into system design. First, we present sufficient conditions on the parameters of IT2FLSs to ensure the...
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