Asymmetric proximity for clustering model

A clustering model in which the asymmetry of the given data is represented by asymmetric aggregation operators has been discussed. Using the asymmetric aggregation operators, clusters which represent the asymmetric structure between objects are obtained. In this paper, the asymmetric structure in a clustering model is focused on the following two points. 1) By comparison with conventional model for asymmetric proximity, the notion of the asymmetric structure in a clustering model becomes clear. 2) Some investigation of the asymmetric aggregation operator shows the effectiveness of this clustering model, in terms of the features of equi-similarity curves and/or the domain of feasible solutions in the properties for the function family of the clustering model. The ability of the model to capture the latent structure of the given data is shown not only by the fact that the objects in a cluster are similar to each other, but also by the fact that they have the same asymmetric properties.