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Partitions and fuzziness

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Publication:1078152
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DOI10.1016/0022-247X(86)90049-1zbMath0595.94028OpenAlexW2025953262MaRDI QIDQ1078152

Bernadette Bouchon, Gérard D. Cohen

Publication date: 1986

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(86)90049-1

zbMATH Keywords

classificationspheresdistancecliquesfuzzy relationsfuzzy partitionsfuzzy binary relationsgain of informationmatricial propertiesquasi-partitionsultrametricity properties


Mathematics Subject Classification ID

Measures of information, entropy (94A17) Fuzzy sets and logic (in connection with information, communication, or circuits theory) (94D05) Combinatorial aspects of packing and covering (05B40) Other classical set theory (including functions, relations, and set algebra) (03E20)


Related Items

Comparison of fuzzy partitions based on their \(\alpha\)-cuts, Some binary relations and operations on the set of fuzzy partitions



Cites Work

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  • Fuzzy partitions and relations; an axiomatic basis for clustering
  • q-coverings, codes and line graphs
  • Ultrametrics and matrix theory
  • Similarity relations and fuzzy orderings
  • Four fundamental parameters of a code and their combinatorial significance
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