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Closed form fuzzy interpolation.
- Source :
-
Fuzzy Sets & Systems . Aug2013, Vol. 225, p1-22. 22p. - Publication Year :
- 2013
-
Abstract
- Abstract: Fuzzy interpolation enhances the robustness of fuzzy systems and helps to reduce systems complexity. Although a number of important fuzzy rule interpolation approaches have been proposed in the literature, most of these approaches cannot be expressed in a closed form. This is usually caused by the effort to avoid possible invalid interpolated results. This paper proposes a different fuzzy rule interpolation approach. It not only can be represented in a closed form but also guarantees that the interpolated results are valid fuzzy sets. This approach is based on a direct use of the extension principle which has been widely utilised for the development of a variety of fuzzy systems. The mathematical properties of the proposed approach are analysed by taking the advantage of the closed form representation. This approach has been applied to a practical problem of predicting diarrhoeal disease rates in remote villages. The results demonstrate the potential of the proposed work in enhancing the robustness of fuzzy interpolation. [Copyright &y& Elsevier]
Details
- Language :
- English
- ISSN :
- 01650114
- Volume :
- 225
- Database :
- Academic Search Index
- Journal :
- Fuzzy Sets & Systems
- Publication Type :
- Academic Journal
- Accession number :
- 89278365
- Full Text :
- https://doi.org/10.1016/j.fss.2013.04.001