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Computational Statistics & Data Analysis
Volume 43, Issue 2, 28 June 2003, Pages 149-177
 
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doi:10.1016/S0167-9473(02)00226-8    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2003 Elsevier Science B.V. All rights reserved.

Three-way fuzzy clustering models for LR fuzzy time trajectories

Renato CoppiE-mail The Corresponding Author and Pierpaolo D'UrsoCorresponding Author Contact Information, E-mail The Corresponding Author

Dipartimento di Statistica, Probabilità e Statistiche Applicate, Università degli Studi di Roma “La Sapienza”, P.le A. Moro, 5 - 00185, Roma, Italy

Received 1 December 2001; 
accepted 1 June 2002. ;
Available online 24 October 2002.

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Abstract

Fuzzy multivariate time trajectories are defined. For a suitable class, called LR time trajectories, three types of dissimilarity measures are introduced: the instantaneous, the velocity and the simultaneous measures, respectively. Correspondingly, three different kinds of dynamic fuzzy clustering models are suggested, based on a generalization of the Bezdek and Yang and Ko objective functions for fuzzy clustering. The solutions and characteristics of the three models are then illustrated. A comparative appraisal of their practical meaning is proposed by means of an application to the time pattern of the subjective judgments expressed by a sample of web navigators on different types of banners. Some indications for future research in this methodological domain are finally provided.

Author Keywords: LR fuzzy time arrays; LR fuzzy time trajectories; Dynamic fuzzy clustering; Cross sectional and/or longitudinal studies; Web-advertising


 
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