Paper:

# On Entropy Based Fuzzy Non Metric Model – Proposal, Kernelization and Pairwise Constraints –

## Yasunori Endo

Faculty of Engineering, Information and Systems, University of Tsukuba, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8573, Japan

The fuzzy non metric model is a kind of clustering method in which belongingness or the membership grade of each datum to each cluster is calculated directly from dissimilarities between data, and cluster centers are not used. In this paper, we first construct a new fuzzy non metric model with entropy regularization. Second, we kernelize the proposed method by introducing kernel functions. Third, we consider pairwise constraints with the proposed method. We then confirm the above methods through some simple numerical examples.

*J. Adv. Comput. Intell. Intell. Inform.*, Vol.16, No.1, pp. 169-173, 2012.

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