Fuzzy multiset is applicable as a model of information retrieval because it has the mathematicalstructure that expresses the number and the degree of attribution of an element simultaneously.Therefore, fuzzy multisets can be used also as a suitable model for document clustering. Thispaper aims at developing clustering algorithms based on a fuzzy multiset model for documentclustering. The standard proximity measure of the cosine correlation is generalized in the multisetmodel, and two nonlinear clustering techniques are applied to the existing clustering methods.One introduces a variable for controlling cluster volume sizes; the other one is a kernel trick usedin support vector machines. Moreover, clustering by competitive learning is also studied. Whenthe kernel trick has been used the classification configuration of data in a high-dimensional featurespace is visualized by self-organizing maps. Two numerical examples, which use an artificial dataand real document data, are shown and effects of the proposed methods are discussed.
展开▼
