Convex decompositions of fuzzy partitions

DOI10.1016/0022-247X(79)90039-8zbMath0411.68056MaRDI QIDQ1259429

J. Douglas Harris, James C. Bezdek

Publication date: 1979

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

zbMATH Keywords

pattern recognitioncluster analysisconvex decompositionsconvex sets in n dimensionsfuzzy partition spaces

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Pattern recognition, speech recognition (68T10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Discrete mathematics in relation to computer science (68R99)

Related Items (14)

Problems on triangular norms and related operators ⋮ Metric properties of fuzzy partitions ⋮ Degenerate and non-degenerate convex decomposition of finite fuzzy partitions. I ⋮ Pattern classification problems and fuzzy sets ⋮ A fuzzy clustering approach to evaluate individual competencies from REFLEX data ⋮ A fuzzy relation space for group decision theory ⋮ Fuzzy relation spaces for group decision theory: An application ⋮ A robust bias-correction fuzzy weighted C-ordered-means clustering algorithm ⋮ Statistical parameters of cluster validity functionals ⋮ Degenerate and non-degenerate convex decomposition of finite fuzzy partitions. II ⋮ On the decomposition problem of fuzzy sets ⋮ Comparison of fuzzy partitions based on their \(\alpha\)-cuts ⋮ Some binary relations and operations on the set of fuzzy partitions ⋮ A survey of fuzzy clustering

Cites Work

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• Clinical Pure Types as a Fuzzy Partition
• Fuzzy sets
• A new approach to clustering
• A Fuzzy Relative of the ISODATA Process and Its Use in Detecting Compact Well-Separated Clusters
• Cluster Validity with Fuzzy Sets

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