Two Ways of Domain Partition in Fuzzy Inference System with Parametrized Consequences: Clustering and Hierarchical Split
Krzysztof Simiński
Abstract:
The rule base is a crucial part of neuro-fuzzy systems. Each rule, representing the fuzzy implication, consists of a premise and a conclusion. Often the premises are elaborated first, then the consequences. There are many methods of premise extraction, among them clustering, grid split and hierarchical partition. The hierarchical domain split combines the advantages of clustering and grid split: avoids the curse of dimensionality and reduces the areas of very low membership to all regions. The paper compares the ANNBFIS system with clustering of the domain and the proposed HS-47 system with hierarchical domain partition. The paper also presents the results of experiments on real life and synthetic dataset.
Reference:
Krzysztof Simiński, Two Ways of Domain Partition in Fuzzy Inference System with Parametrized Consequences: Clustering and Hierarchical Split, [in] OWD2008, X International PhD Workshop, 2008, pp. 103-108.
Bibtex Entry:
@INPROCEEDINGS{id:Siminski2008Two,
  author = {Krzysztof Simi\'{n}ski},
  title = {Two Ways of Domain Partition in Fuzzy Inference System with Parametrized
	Consequences: Clustering and Hierarchical Split},
  booktitle = {OWD2008, X International PhD Workshop},
  year = {2008},
  pages = {103--108},
  address = {Wis{\l}a, Poland},
  abstract = {The rule base is a crucial part of neuro-fuzzy systems. Each rule,
	representing the fuzzy implication, consists of a premise and a conclusion.
	Often the premises are elaborated first, then the consequences. There
	are many methods of premise extraction, among them clustering, grid
	split and hierarchical partition. The hierarchical domain split combines
	the advantages of clustering and grid split: avoids the curse of
	dimensionality and reduces the areas of very low membership to all
	regions. The paper compares the ANNBFIS system with clustering of
	the domain and the proposed HS-47 system with hierarchical domain
	partition. The paper also presents the results of experiments on
	real life and synthetic dataset.},
  timestamp = {2008.10.13},
  url = {http://sun.aei.polsl.pl/~ksim/data/publikacje/2008. Siminski. Two Ways of Domain Partition in Fuzzy Inference System With Parametrized Consequences. Clustering And Hierarchical Split.pdf}
}
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