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Type 2 Fuzzy Clustering Algorithm for Fuzzy Data
Title: | Type 2 Fuzzy Clustering Algorithm for Fuzzy Data |
Authors: | Imai, Hideyuki Browse this author | Ohnishi, Shin-ichi Browse this author | Sato, Yoshiharu Browse this author |
Keywords: | Type 2 fuzzy sets | Fuzzy classification | Extension principle |
Issue Date: | 2000 |
Journal Title: | Proceedings of The International Conference on Measurement and Multivariate Analysis |
Volume: | Volume 1 |
Start Page: | 15 |
End Page: | 17 |
Abstract: | In many situations, precise measurements are vary costly, unnecessary, and even impossible to obtain in some cases. Thus, it often occurs that fuzzy data such as real intervals or real fuzzy numbers are available. In recent literatures, some method to handle fuzzy data have been developed [2, 4]. These are based on a parameterization representing centers and radiuses of fuzzy data. It is pointed out that different parameterizations of fuzzy sets can lead to different computational result even in very simple cases. In this paper, we propose other method to classify fuzzy data. This is based on a interval computations of α-cut sets of fuzzy data and a extension principle of fuzzy sets. This method enables us to obtain both type 2 fuzzy prototypes and type 2 fuzzy partitions. It requires high computing cost to determine exact intervals for a lot of α-cut sets. Therefore, we also propose a method to obtain approximate intervals which is based on a sensitivity analysis. |
Description: | International Conference on Measurement and Multivariate Analysis (ICMMA) and Dual Scaling Workshop. May 11, 12, 13 & 14, 2000
at The Banff Centre for Conferences Banff, Alberta, Canada |
Conference Name: | International Conference on Measurement and Multivariate Analysis (ICMMA) and Dual Scaling Workshop |
Conference Place: | Alberta |
Type: | proceedings (author version) |
URI: | http://hdl.handle.net/2115/47121 |
Appears in Collections: | 情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 今井 英幸
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