Sum normal optimization of fuzzy membership functions
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems
Training fuzzy systems with the extended Kalman filter
Fuzzy Sets and Systems - Fuzzy systems
SVD Reduction in Continuos Environment Reinforcement Learning
Proceedings of the International Conference, 7th Fuzzy Days on Computational Intelligence, Theory and Applications
Decomposed Neuro-fuzzy ARX Model
AFSS '02 Proceedings of the 2002 AFSS International Conference on Fuzzy Systems. Calcutta: Advances in Soft Computing
Granularity and specificity in fuzzy rule-based systems
Granular computing
From differential equations to PDC controller design via numerical transformation
Computers in Industry
A fuzzy system for helping medical diagnosis of malformations of cortical development
Journal of Biomedical Informatics
Improving fuzzy logic controllers obtained by experts: a case study in HVAC systems
Applied Intelligence
Engineering Applications of Artificial Intelligence
H∞ estimation for fuzzy membership function optimization
International Journal of Approximate Reasoning
A general and formal methodology to design stable nonlinear fuzzy control systems
IEEE Transactions on Fuzzy Systems
Intelligent fabric hand prediction system with fuzzy neural network
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
Survey paper: A survey on industrial applications of fuzzy control
Computers in Industry
Intelligent data analysis and model interpretation with spectral analysis fuzzy symbolic modeling
International Journal of Approximate Reasoning
Artificial Intelligence in Medicine
Advances in Fuzzy Systems - Special issue on Real-Life Applications of Fuzzy Logic
A new method for fuzzy rule base reduction
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Complexity management methodology for fuzzy systems with feedback rule bases
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Introduces a singular value-based method for reducing a given fuzzy rule set. The method conducts singular value decomposition of the rule consequents and generates certain linear combinations of the original membership functions to form new ones for the reduced set. The present work characterizes membership functions by the conditions of sum normalization (SN), nonnegativeness (NN), and normality (NO). Algorithms to preserve the SN and NN conditions in the new membership functions are presented. Preservation of the NO condition relates to a high-dimensional convex hull problem and is not always feasible in which case a closed-to-NO solution may be sought. The proposed method is applicable regardless of the adopted inference paradigms. With product-sum-gravity inference and singleton support fuzzy rule base, output errors between the full and reduced fuzzy set are bounded by the sum of the discarded singular values. The work discusses three specific applications of fuzzy reduction: fuzzy rule base with singleton support, fuzzy rule base with nonsingleton support (which includes the case of missing rules), and the Takagi-Sugeno-Kang (TSK) model. Numerical examples are presented to illustrate the reduction process