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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Kai Meng Tay Chee Peng Lim |
| Copyright Year | 2009 |
| Description | Author affiliation: University Malaysia Sarawak, Malaysia (Kai Meng Tay) || University of Science Malaysia, Malaysia (Chee Peng Lim) |
| Abstract | Constructing a monotonicity relating function is important, as many engineering problems revolve around a monotonicity relationship between input(s) and output(s). In this paper, we investigate the use of fuzzy rule interpolation techniques for monotonicity relating fuzzy inference system (FIS). A mathematical derivation on the conditions of an FIS to be monotone is provided. From the derivation, two conditions are necessary. The derivation suggests that the mapped consequence fuzzy set of an FIS to be of a monotonicity order. We further evaluate the use of fuzzy rule interpolation techniques in predicting a consequent associated with an observation according to the monotonicity order. There are several findings in this article. We point out the importance of an ordering criterion in rule selection for a multi-input FIS before the interpolation process; and hence, the practice of choosing the nearest rules may not be true in this case. To fulfill the monotonicity order, we argue with an example that conventional fuzzy rule interpolation techniques that predict each consequence separately is not suitable in this case. We further suggest another class of interpolation techniques that predicts the consequence of a set of observations simultaneously, instead of separately. This can be accomplished with the use of a search algorithm, such as the brute force, genetic algorithm or etc. |
| Starting Page | 1736 |
| Ending Page | 1740 |
| File Size | 447354 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781424435968 |
| ISSN | 10987584 |
| DOI | 10.1109/FUZZY.2009.5277387 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-08-20 |
| Publisher Place | South Korea |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Interpolation Fuzzy sets Fuzzy systems Function approximation Sufficient conditions Genetic algorithms Curve fitting Linearity Stress Equations |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Artificial Intelligence Theoretical Computer Science Software |
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