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Semantic constraints for membership function optimization
Abstract
The optimization of fuzzy systems using bio-inspired strategies, such as neural network learning rules or evolutionary optimization techniques, is becoming more and more popular. In general, fuzzy systems optimized in such a way cannot provide a linguistic interpretation, preventing us from using one of their most interesting and useful features. This paper addresses this difficulty and points out a set of constraints that when used within an optimization scheme obviate the subjective task of interpreting membership functions. To achieve this a comprehensive set of semantic properties that membership functions should have is postulated and discussed. These properties are translated in terms of nonlinear constraints that are coded within a given optimization scheme, such as backpropagation. Implementation issues and one example illustrating the importance of the proposed constraints are included.
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Cites
The magical number seven, plus or minus two: Some limits on our capacity for processing information.
Miller, G. A. (1956) · Psychological Review · doi:10.1037/h0043158 · Cited by 17,812
Cited by
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Gacto, M. J., Alcalá, R., & Herrera, F. (2011) · Information Sciences · doi:10.1016/j.ins.2011.02.021 · Cited by 565
GA-fuzzy modeling and classification: complexity and performance
Setnes, M., & Roubos, H. (2000) · IEEE Transactions on Fuzzy Systems · doi:10.1109/91.873575 · Cited by 473
Cordón, O. (2011) · International Journal of Approximate Reasoning · doi:10.1016/j.ijar.2011.03.004 · Cited by 347
SOFMLS: Online Self-Organizing Fuzzy Modified Least-Squares Network
de Jesus Rubio, J. (2009) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2009.2029569 · Cited by 346
Fazzolari, M., Alcala, R., Nojima, Y., Ishibuchi, H., & Herrera, F. (2013) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2012.2201338 · Cited by 296
Metadata
- Authors
- de Oliveira, J. V.
- Venue
- IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans
- Published
- 1999
- Volume
- 29
- Issue
- 1
- Pages
- 128-138
- ISSN
- 1083-4427 (ISSN-L)
- OpenAlex
- W2128069141
- Cited by
- 288
- References
- 1
- FWCI
- 10.99
- Type
- journal article
- Language
- en
- Open access
- closed
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- de Oliveira, J. V. (1999). Semantic constraints for membership function optimization. IEEE Transactions on Systems, Man, and Cybernetics - Part A: Systems and Humans. https://doi.org/10.1109/3468.736369
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