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Applications of classification based on similarities and dissimilarities

Author

Listed:
  • M. Keshavarzi

    (Shahid Bahonar University)

  • M. A. Dehghan

    (Vali-e-Asr University of Rafsanjan)

  • M. Mashinchi

    (Shahid Bahonar University)

Abstract

In this paper, we first review some definitions and propositions regarding similarities between two objects (2-similarity), or among three or more objects (3-similarity/n-similarity). Then the notion of 3-dissimilarity is introduced and the relationships and connections between 2-dissimilarities and 3-dissimilarities are studied. Through some examples, the applications regarding the concepts of 3-similarity, 4-similarity, and dissimilarity relations will be brought out.

Suggested Citation

  • M. Keshavarzi & M. A. Dehghan & M. Mashinchi, 2012. "Applications of classification based on similarities and dissimilarities," Fuzzy Information and Engineering, Springer, vol. 4(1), pages 75-91, March.
    • Handle: RePEc:spr:fuzinf:v:4:y:2012:i:1:d:10.1007_s12543-012-0102-4
    DOI: 10.1007/s12543-012-0102-4
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    References listed on IDEAS

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    2. Roger Shepard, 1962. "The analysis of proximities: Multidimensional scaling with an unknown distance function. I," Psychometrika, Springer;The Psychometric Society, vol. 27(2), pages 125-140, June.
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