Kernel Functions Based on Fuzzy Neighborhoods and Agglomerative Clustering

Authors:
Sadaaki Miyamoto;Yuichi Kawasaki
Affiliations:
Department of Risk Engineering, School of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan;Graduate School of Systems and Information Engineering, University of Tsukuba, Ibaraki 305-8573, Japan
Venue:
MDAI '07 Proceedings of the 4th international conference on Modeling Decisions for Artificial Intelligence
Year:
2007

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Abstract

A fuzzy neighborhood model for analyzing information systems having topological structures on occurrences of keywords is proposed and associated kernel functions are studied. Sufficient conditions when a neighborhood defines a kernel are derived. Accordingly, agglomerative clustering algorithms are applicable which employ kernel functions. An illustrative example is given.