Complexity / 2018 / Article / Alg 3

Research Article

Application of the Variable Precision Rough Sets Model to Estimate the Outlier Probability of Each Element

Algorithm 3

Pseudo-code of the FIND_OUTLIER_REGION algorithm.
FIND_OUTLIER_REGION (U, X, R): OUTLIERS
    Pseudo-code                               Comments
1     S = BUILD_β_OUTLIER_REGION (U, X, R)  Step 1: calculation of the dependences between
                                     internal borders
2     <M, ExcepDegree> = BUILD_μ_OUTLIER_REGION (U, X, R)    Step 2: calculation of the
                                      outlier region
                                 Integration of the regions
3     for each                       For each element of the universe
4      D[e] = {}
5      for each     Values where e belongs to an internal border with no other internal border
6       D[e] = D[e] ∪ M[e][r] ∩ S[r]
7       OUTLIERS[e] = ExcepDegree[e] ∩ {D[e] × [0, 1]}  Intersection between the outlier regions
                                         and
8     return OUTLIERS                          Return all regions

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