Stability of interpolative fuzzy KH controllers
Fuzzy Sets and Systems - Fuzzy control
SVD Reduction in Continuos Environment Reinforcement Learning
Proceedings of the International Conference, 7th Fuzzy Days on Computational Intelligence, Theory and Applications
A general framework for ordering fuzzy sets
Technologies for constructing intelligent systems
Expert Systems with Applications: An International Journal
Fuzzy Interpolative Reasoning Using Interval Type-2 Fuzzy Sets
IEA/AIE '08 Proceedings of the 21st international conference on Industrial, Engineering and Other Applications of Applied Intelligent Systems: New Frontiers in Applied Artificial Intelligence
Towards adaptive interpolative reasoning
FUZZ-IEEE'09 Proceedings of the 18th international conference on Fuzzy Systems
Fuzzy interpolative reasoning via cutting and transformations techniques
IEA/AIE'07 Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems
A new fuzzy interpolative reasoning method for sparse fuzzy rule-based systems
IEA/AIE'07 Proceedings of the 20th international conference on Industrial, engineering, and other applications of applied intelligent systems
A fuzzy Petri-nets model for computing with words
IEEE Transactions on Fuzzy Systems - Special section on computing with words
Information Sciences: an International Journal
Expert Systems with Applications: An International Journal
Weighted fuzzy interpolative reasoning for sparse fuzzy rule-based systems
Expert Systems with Applications: An International Journal
Expert Systems with Applications: An International Journal
Automatica (Journal of IFAC)
Fuzzy interpolative reasoning for sparse fuzzy rule-based systems based on the slopes of fuzzy sets
Expert Systems with Applications: An International Journal
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology - Hybrid approaches for approximate reasoning
A new method for fuzzy rule base reduction
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Fuzzy control is at present still the most important area of real applications for fuzzy theory. It is a generalized form of expert control using fuzzy sets in the definition of vague/linguistic predicates, modeling a system by If…then rules. In the classical approaches it is necessary that observations on the actual state of the system partly match (fire) one or several rules in the model (fired rules), and the conclusion is calculated by the evaluation of the degrees of matching and the fired rules. Interpolation helps reduce the complexity as it allows rule bases with gaps. Various interpolation approaches are shown. It is proposed that dense rule bases should be reduced so that only the minimal necessary number of rules remain still containing the essential information in the original base, and all other rules are replaced by the interpolation algorithm that however can recover them with a certain accuracy prescribed before reduction. The interpolation method used for demonstration is the Lagrange method supplying the best fitting minimal degree polynomial. The paper concentrates on the reduction technique that is rather independent from the style of the interpolation model, but cannot be given in the form of a tractable algorithm. An example is shown to illustrate possible results and difficulties with the method