Fuzzy Sets and Fuzzy Partitions

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


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.


Fuzzy Partition Fuzzy Objective Fuzzy Classi Optimal Decomposition Fuzzy Approximation 
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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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