A decision theoretic framework for approximating concepts
International Journal of Man-Machine Studies
Contributions to the theory of rough sets
Fundamenta Informaticae
Interval-Set Algebra for Qualitative Knowledge Representation
ICCI '93 Proceedings of the Fifth International Conference on Computing and Information
Interval Set Clustering of Web Users with Rough K-Means
Journal of Intelligent Information Systems
Web Intelligence and Agent Systems
Probabilistic rough set approximations
International Journal of Approximate Reasoning
Temporal analysis of clusters of supermarket customers: conventional versus interval set approach
Information Sciences: an International Journal
International Journal of Approximate Reasoning
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A new clustering strategy is proposed based on interval sets, which is an alternative formulation different from the ones used in the existing studies. Instead of using a single set as the representation of a cluster, each cluster is represented by an interval set that is defined by a pair of sets called the lower and upper bounds. Elements in the lower bound are typical elements of the cluster and elements between the upper and lower bounds are fringe elements of the cluster. A cluster is therefore more realistically characterized by a set of core elements and a set of boundary elements. Two types of interval set clusterings are proposed, one is non-overlapping lower bound interval set clustering and the other is overlapping lower bound interval set clusterings, corresponding to the standard partition based and covering based clusterings.