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Fuzzy Sets and Fuzzy Partitions

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

Abstract

In this paper some connections between a characterization of fuzzy sets and a characterization of fuzzy partitions are explored. We extend the notion of α-level set and sharpness of fuzzy sets to fuzzy partitions. Then we define α-level equivalence and relation of sharpness on the set of all fuzzy partitions of a finite set of objects into k clusters. We define sharpnesshood and complementhood of fuzzy partitions and then we show how to find the complement of a fuzzy partition.

Keywords

Fuzzy Partition Fuzzy Objective Fuzzy Classi Optimal Decomposition Fuzzy Approximation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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Copyright information

© Springer-Verlag Berlin · Heidelberg 1993

Authors and Affiliations

  • Slavka Bodjanova
    • 1
  1. 1.Department of MathematicsTexas A&I UniversityKingsvilleUSA

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