The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Fuzzy systems as universal approximators
Abstract
An additive fuzzy system can uniformly approximate any real continuous function on a compact domain to any degree of accuracy. An additive fuzzy system approximates the function by covering its graph with fuzzy patches in the input-output state space and averaging patches that overlap. The fuzzy system computes a conditional expectation E|Y|X| if we view the fuzzy sets as random sets. Each fuzzy rule defines a fuzzy patch and connects commonsense knowledge with state-space geometry. Neural or statistical clustering systems can approximate the unknown fuzzy patches from training data. These adaptive fuzzy systems approximate a function at two levels. At the local level the neural system approximates and tunes the fuzzy rules. At the global level the rules or patches approximate the function.>
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Citations
Cites
Multilayer feedforward networks are universal approximators
Hornik, K., Stinchcombe, M., & White, H. (1989) · Neural Networks · doi:10.1016/0893-6080(89)90020-8 · Cited by 21,728
Cited by
Fuzzy logic systems for engineering: a tutorial
Mendel, J. M. (1995) · Proceedings of the IEEE · doi:10.1109/5.364485 · Cited by 2,110
On the Fundamental Differences Between Interval Type-2 and Type-1 Fuzzy Logic Controllers
Wu, D. (2012) · IEEE Transactions on Fuzzy Systems · doi:10.1109/tfuzz.2012.2186818 · Cited by 339
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
Big data-driven fuzzy cognitive map for prioritising IT service procurement in the public sector
Choi, Y., Lee, H., & Irani, Z. (2018) · Annals of Operations Research · doi:10.1007/s10479-016-2281-6 · Cited by 76
Micera, S., Jensen, W., Sepulveda, F., Riso, R. R., & Sinkjaer, T. (2001) · IEEE Transactions on Biomedical Engineering · doi:10.1109/10.930903 · Cited by 58
Metadata
- Authors
- Kosko, B.
- Venue
- IEEE Transactions on Computers
- Published
- 1994
- Volume
- 43
- Issue
- 11
- Pages
- 1329-1333
- ISSN
- 0018-9340 (ISSN-L)
- OpenAlex
- W2002041997
- Cited by
- 950
- References
- 1
- FWCI
- 24.44
- Type
- journal article
- Language
- en
- Open access
- closed
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