Copyright © 2003 Elsevier Science B.V. All rights reserved.
Three-way fuzzy clustering models for LR fuzzy time trajectories
Received 1 December 2001;
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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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