Abstract
This paper discusses the concepts of linguistic integrity and interpretability. The concepts are used as a framework to design an algorithm to construct linguistic fuzzy models from Numerical Data. The constructed model combines prior knowledge (if present) and numerical information. Two algorithms are presented in this chapter. The main algorithm is the Autonomous Fuzzy Rule Extractor with Linguistic Integrity (AFRELI). This algorithm is complemented with the use of the Fu Zion algorithm created to merge consecutive membership functions while guar anteeing the distinguishability between fuzzy sets. Examples of function approximations and modeling of industrial data are presented as application examples.
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References
Wang, L. X. (1994) Adaptive Fuzzy Systems and Control. 1st. Ed., Prentice Hall.
Jang, J. S. R. (1994) Structure Determination in Fuzzy Modeling: A Fuzzy CART Approach. Proceedings of IEEE international conference on fuzzy systems
Tan S., Vandewalle J. (1995) An On-line Structural and Parametric Scheme for Fuzzy Modelling. Proc. of the 6th International Fuzzy Systems Association World Congress IFSA-95. Sao Paulo, 189–192
Sugeno M., Yasukawa T. (1993) A Fuzzy Logic Based Approach to Qualitative Modeling. IEEE Trans. on Fuzzy Systems 1, 7–31
Yager R., Filev D. (1994) Essentials of fuzzy modeling and control.1st. Ed. John Wiley & Sons. New York
Lori N., Costa Branco P. J. (1995) Autonomous Mountain-Clustering Method Applied to Fuzzy Systems Modeling. In: Dagli C. H., Akay M., Philip C. L., Chen, Fernández B., Ghosh, J. (Eds.): Intelligent Engineering Systems Through Artificial Neural Networks, Smart Engineering Systems: Fuzzy Logic and Evolutionary Programming. ASME Press. New York, 311–316
Jang J. S. R., Sun C. T., Mizutani E. (1997) Neuro Fuzzy and Soft Computing. Prentice Hall International. USA.
Valente de Oliveira J. (1999) Semantic Constraints for Membership Function Optimization. IEEE Trans. Systems Man and Cybernetics-Part A 1
Jang, J. S. R (1998) Fuzzy Logic Toolbox, User’s Guide, V-2.0. Mathworks. USA.
Setnes M., Babuska R., Verbruggen H. (1998) Rule-Based Modeling: Precision and Transparency. IEEE Trans. Systems Man and Cybernetics-Part C 1
Espinosa J., Vandewalle J. (1998) Fuzzy Modeling and Identification, Using AFRELI and FuZion Algorithms. Proceedings of the 5th. International Conference on Soft Computing IIZUKA-98. Iizuka-Japan, 535–540
Pedrycz W. (1994) Why Triangular Membership Functions?. Fuzzy Sets and Systems. 64, 21–30
Jang J. S. R. (1992) Neuro-Fuzzy Modeling: Architectures, Analyses and Applications. University of Berkeley-California
Pedrycz W., Valente de Oliveira J.(1996) Optimization of fuzzy models. IEEE Trans. Syst.,Man,Cybern. Part B. 26 627–636
Broadbent D. (1975) The Magic Number Seven After Fifteen Years. In: Kennedy A., Wilkes A. Studies in Long Term Memory 3 Addison Wesley. New York
Espinosa J., Vandewalle J. (2000) Constructing Fuzzy Models with Linguistic Integrity from Numerical Data-AFRELI Algorithm. IEEE Trans. on Fuzzy Systems. 8 591–600
Bezdek J. C. (1976) A Physical Interpretation of Fuzzy ISODATA. IEEE Trans. Syst.,Man,Cybern.387–389
Nozaki K., Ishibuchi H., Tanaka H. (1997) A Simple but Powerful Heuristic Method for Generating Fuzzy Rules from Numerical Data. Fuzzy Sets and Systems. 86 251–270
Espinosa J., Vandewalle J. (1998) Fuzzy Modeling with Linguistic Integrity. Proceedings of the International Workshop on Advanced Black Box Techniques for Nonlinear Modeling. Leuven — Belgium.197–202
Espinosa J. (2001) Fuzzy Modeling and Control. Ph.D.Thesis. Katholieke Universiteit Leuven. Leuven Belgium
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Espinosa, J., Vandewalle, J. (2003). Extracting Linguistic Fuzzy Models from Numerical Data-AFRELI Algorithm. In: Casillas, J., Cordón, O., Herrera, F., Magdalena, L. (eds) Interpretability Issues in Fuzzy Modeling. Studies in Fuzziness and Soft Computing, vol 128. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-37057-4_5
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DOI: https://doi.org/10.1007/978-3-540-37057-4_5
Publisher Name: Springer, Berlin, Heidelberg
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