Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Implementation of Fuzzy C-Means and Possibilistic C-Means Clustering
  Algorithms, Cluster Tendency Analysis and Cluster Validation   In this paper, several two-dimensional clustering scenarios are given. In
those scenarios, soft partitioning clustering algorithms (Fuzzy C-means (FCM)
and Possibilistic c-means (PCM)) are applied. Afterward, VAT is used to
investigate the clustering tendency visually, and then in order of checking
cluster validation, three types of indices (e.g., PC, DI, and DBI) were used.
After observing the clustering algorithms, it was evident that each of them has
its limitations; however, PCM is more robust to noise than FCM as in case of
FCM a noise point has to be considered as a member of any of the cluster.

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The categories of this paper are: nlin
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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom