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General Approach to the Construction of Measures of Fuzziness of Fuzzy K-Partitions

  • Slavka Bodjanova
Conference paper
Part of the Studies in Classification, Data Analysis, and Knowledge Organization book series (STUDIES CLASS)

Summary

One of the most important characterizations of fuzzy partitions is the amount of their fuzziness. This paper proposes an axiomatic framework for measures of fuzziness of nonhierarchical fuzzy partitions. Mathematical conditions for measures of fuzziness are discussed and a way of measuring fuzziness in terms of dissimilarity between a fuzzy partition and its complement is presented.

Keywords

Fuzzy Cluster Dissimilarity Measure Fuzzy Partition Fuzzy Cluster Algorithm Partition Versus 
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References

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Copyright information

© Springer Japan 1998

Authors and Affiliations

  • Slavka Bodjanova
    • 1
  1. 1.Department of MathematicsTexas A&M University-KingsvilleKingsvilleUSA

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