Comparing Fuzzy, Probabilistic, and Possibilistic Partitions

  title={Comparing Fuzzy, Probabilistic, and Possibilistic Partitions},
  author={Derek Anderson and James C. Bezdek and Mihail Popescu and James M. Keller},
  journal={IEEE Transactions on Fuzzy Systems},
When clustering produces more than one candidate to partition a finite set of objects O, there are two approaches to validation (i.e., selection of a “best” partition, and implicitly, a best value for c , which is the number of clusters in O). First, we may use an internal index, which evaluates each partition separately. Second, we may compare pairs of candidates with each other, or with a reference partition that purports to represent the “true” cluster structure in the objects. This paper… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 36 references

Comparing partition

  • L. J. Hubert, P. Arabie
  • J. Classification, vol. 2, pp. 193–218, 1985.
  • 1985
Highly Influential
6 Excerpts

Objective criteria for the evaluation of clustering methods

  • W. M. Rand
  • J. Amer. Stat. Assoc., vol. 66, no. 336, pp. 846…
  • 1971
Highly Influential
4 Excerpts

The IRISes of the Gaspe peninsula

  • E. Anderson
  • Bull. Amer. IRIS Soc., vol. 59, pp. 2–5, 1935.
  • 1935
Highly Influential
14 Excerpts

Fuzzy Models and Algorithms for Pattern Recognition and Image Processing

  • J. C. Bezdek, J. M. Keller, R. Krishnapuram, N. R. Pal
  • 1999
Highly Influential
3 Excerpts

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