Fuzzy Information and Engineering

, Volume 4, Issue 1, pp 75–91 | Cite as

Applications of classification based on similarities and dissimilarities

Original Article
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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.

Keywords

3-similarity relations Equivalence 3-relations Dissimilarity relations n-dissimilarity 
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Copyright information

© Springer-Verlag Berlin Heidelberg and Fuzzy Information and Engineering Branch of the Operations Research Society of China 2012

Authors and Affiliations

  1. 1.Mathematics and Computer SciencesShahid Bahonar UniversityKermanIran
  2. 2.MathematicsVali-e-Asr University of RafsanjanRafsanjanIran

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