Fuzzy relation is a crucial connector in presenting fuzzy time series model. However, how to obtain a fuzzy relation matrix to represent a time-invaxiant relation is still a question. Based on the concept of fuzziness in Information Theory, the concept of entropy is applied to measure the degrees of
Fuzzy information granules in time series data
✍ Scribed by Michael R. Berthold; Marco Ortolani; David Patterson; Frank Höppner; Ondine Callan; Heiko Hofer
- Publisher
- John Wiley and Sons
- Year
- 2004
- Tongue
- English
- Weight
- 309 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0884-8173
No coin nor oath required. For personal study only.
✦ Synopsis
Often, it is desirable to represent a set of time series through typical shapes in order to detect common patterns. The algorithm presented here compares pieces of a different time series in order to find such similar shapes. The use of a fuzzy clustering technique based on fuzzy c-means allows us to detect shapes that belong to a certain group of typical shapes with a degree of membership. Modifications to the original algorithm also allow this matching to be invariant with respect to a scaling of the time series. The algorithm is demonstrated on a widely known set of data taken from the electrocardiogram (ECG) rhythm analysis experiments performed at the Massachusetts Institute of Technology (MIT) laboratories and on data from protein mass spectrography.
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