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Convex decompositions of fuzzy partitions. (English) Zbl 0411.68056

##### MSC:
 68R99 Discrete mathematics in relation to computer science 68T10 Pattern recognition, speech recognition 05A17 Combinatorial aspects of partitions of integers 52A20 Convex sets in $$n$$ dimensions (including convex hypersurfaces)
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##### References:
 [1] Ruspini, E, A new approach to clustering, Inform. contr., 15, 22-32, (1969) · Zbl 0192.57101 [2] Woodbury, M; Clive, J, Clinical pure types as a fuzzy partition, J. cybernetics, 4, 3, 111-120, (1974) · Zbl 0322.62071 [3] Bezdek, J, Fuzzy mathematics in pattern classification, () [4] Dunn, J, A fuzzy relative of the ISODATA process and its use in detecting compact, well separated clusters, J. cybernetics, 3, 3, 32-57, (1974) · Zbl 0291.68033 [5] Bezdek, J, Cluster validity with fuzzy sets, J. cybernetics, 3, 3, 58-73, (1974) · Zbl 0294.68035 [6] Zadeh, L, Fuzzy sets, Inform. contr., 8, 338-353, (1965) · Zbl 0139.24606 [7] Roberts, A.W; Varberg, D, Convex functions, (), 76-77
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