- Title
- Rule-based fuzzy systems with weighted power mean firing operator as universal approximators
- Creator
- Rickard, John T.; Aisbett, Janet; Mendel, Jerry M.
- Relation
- 2012 IEEE International Conference on Fuzzy Systems (FUZZ IEEE). Proceedings of the 2012 IEEE International Conference on Fuzzy Systems (Brisbane, Qld 10-15 June, 2012) p. 1-6
- Publisher Link
- http://dx.doi.org/10.1109/FUZZ-IEEE.2012.6251332
- Publisher
- Institute of Electrical and Electronics Engineers (IEEE)
- Resource Type
- conference paper
- Date
- 2012
- Description
- Certain classes of fuzzy rule-based systems have been shown to be universal approximators, capable of approximating any continuous mapping on a compact subset of the domain. In previous cases, this property has been proven for fuzzy systems employing t-norms to determine the firing level of each rule. In this paper, we prove that use of the weighted power mean to determine rule firing levels also results in a universal approximator. While it is only a t-norm in certain special cases, the weighted power mean is a more general aggregation operator, capable of providing greater logical flexibility in a rule. This will be of particular interest in computing with words (CWW) applications, where such flexibility is needed the better to mimic human reasoning.
- Subject
- fuzzy systems; aggregation operators; universal approximation; computing with words
- Identifier
- http://hdl.handle.net/1959.13/1309218
- Identifier
- uon:21807
- Identifier
- ISBN:9781467315067
- Language
- eng
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