Similarity Measures Based on a Fuzzy Set Model and Application to Hierarchical Clustering

  title={Similarity Measures Based on a Fuzzy Set Model and Application to Hierarchical Clustering},
  author={Sadaaki Miyamoto and Kazuhiko Nakayama},
  journal={IEEE Transactions on Systems, Man, and Cybernetics},
A fuzzy set model for generalizing similarity measures of binary characters for numerical classification is proposed. A set-theoretical model representation is given for well-known similarities of binary characters in mathematical taxonomy. Then a fuzzy extension of the set-theoretical model leads to generalizations of these similarities. Moreover an algorithm of hierarchical agglomerative clustering is developed in which similarity between a pair of clusters is calculated by referring to the… CONTINUE READING

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