Exponential distance-based fuzzy clustering for interval-valued data

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• 作者：Pierpaolo D’Urso ; Riccardo Massari…
• 关键词：Interval ; valued data ; Outlier interval data ; Fuzzy C ; medoids clustering ; Exponential distance ; Robust clustering
• 刊名：Fuzzy Optimization and Decision Making
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：16
• 期：1
• 页码：51-70
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematical Logic and Foundations; Probability Theory and Stochastic Processes; Optimization; Calculus of Variations and Optimal Control; Optimization; Artificial Intelligence (incl. Robotics); Opera
• 出版者：Springer US
• ISSN：1573-2908
• 卷排序：16

文摘

In several real life and research situations data are collected in the form of intervals, the so called interval-valued data. In this paper a fuzzy clustering method to analyse interval-valued data is presented. In particular, we address the problem of interval-valued data corrupted by outliers and noise. In order to cope with the presence of outliers we propose to employ a robust metric based on the exponential distance in the framework of the Fuzzy C-medoids clustering mode, the Fuzzy C-medoids clustering model for interval-valued data with exponential distance. The exponential distance assigns small weights to outliers and larger weights to those points that are more compact in the data set, thus neutralizing the effect of the presence of anomalous interval-valued data. Simulation results pertaining to the behaviour of the proposed approach as well as two empirical applications are provided in order to illustrate the practical usefulness of the proposed method.