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On generating FC(3) fuzzy rule systems from data using evolution strategies.
Y Jin1, W Von Seelen, B Sendhoff
1Dept. of Ind. Eng., Rutgers Univ., Piscataway, NJ.
Summary
This study introduces a novel approach using evolution strategies to design flexible, complete, consistent, and compact (FC(3)) fuzzy rule systems. The method ensures rule base integrity and optimizes fuzzy systems for applications like car distance control, even with limited data.
Area of Science:
- Artificial Intelligence
- Control Systems Engineering
- Fuzzy Logic Systems
Background:
- Fuzzy rule systems require flexibility, completeness, consistency, and compactness (FC(3)) for optimal performance and interpretability.
- Real-world data often leads to violations of completeness and consistency in fuzzy systems.
- Compactness is vital for fuzzy systems with a high number of input variables.
Purpose of the Study:
- To propose a systematic design paradigm for creating FC(3) fuzzy rule systems using evolution strategies.
- To enhance the flexibility, completeness, consistency, and compactness of fuzzy systems.
- To address challenges in generating robust fuzzy systems from real-world data.
Main Methods:
- Employing evolution strategies to co-evolve fuzzy rule structures and parameters.
- Ensuring rule base completeness through fuzzy partitioning and rule structure checks.
- Utilizing a fuzzy similarity index to prevent rule base inconsistencies.
- Introducing and optimizing soft T-norm and BADD defuzzification for increased flexibility.
Main Results:
- A systematic design paradigm for FC(3) fuzzy systems was developed.
- The approach successfully guarantees completeness and consistency of the fuzzy rule base.
- Optimized fuzzy systems demonstrated enhanced flexibility and compactness.
- The method effectively handles insufficient training data.
Conclusions:
- The proposed evolution strategy-based design paradigm effectively generates flexible, complete, consistent, and compact (FC(3)) fuzzy systems.
- This approach ensures the integrity of the rule base and improves system performance, particularly in data-scarce scenarios.
- The method is validated by its successful application in designing a distance controller for cars.
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