Closed form fuzzy interpolation

Yang, Longzhi and Shen, Qiang (2013) Closed form fuzzy interpolation. Fuzzy Sets and Systems, 225. pp. 1-22. ISSN 0165-0114

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Official URL: http://dx.doi.org/10.1016/j.fss.2013.04.001

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.

Item Type: Article
Uncontrolled Keywords: Fuzzy rule interpolation, sparse rule base, closed form interpolation
Subjects: G400 Computer Science
G700 Artificial Intelligence
Department: Faculties > Engineering and Environment > Computer Science and Digital Technologies
Depositing User: Longzhi Yang
Date Deposited: 07 Jan 2014 09:28
Last Modified: 10 Aug 2015 11:08
URI: http://nrl.northumbria.ac.uk/id/eprint/13089

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