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Fig 1.

Flowchart for the proposed MOPSOSA algorithm.

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Fig 2.

Flowchart for initializing particle swarm.

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Fig 3.

Flowchart for the MOSA technique applied in MOPSOSA.

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Table 1.

Description of the artificial and real-life datasets.

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Table 1 Expand

Fig 4.

Graphs of the artificial datasets.

(a) Sph_5_2. (b) Sph_4_3. (c) Sph_6_2. (d) Sph_10_2. (e) Sph_9_2. (f) Pat1. (g) Pat2. (h) Long1. (i) Sizes5. (j) Spiral. (k) Square1. (l) Square4. (m) Twenty. (n) Fourty.

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Fig 4 Expand

Table 2.

Parameter settings used in MOPSOSA algorithm.

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Table 2 Expand

Table 3.

F-measure value and the number of clusters for different datasets obtained by MOPSOSA compared with those acquired by GenClustMOO, GenClustPESA2, MOCK, and VGAPS algorithms.

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Table 3 Expand

Table 4.

Averages and standard deviations for the F-measure values on the different datasets obtained from MOPSOSA, GenClustMOO, GenClustPESA2, MOCK, VGAPS, KM, and SL algorithms.

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Table 4 Expand

Fig 5.

Graphs of the artificial datasets after applying the MOPSOSA algorithm.

(a) Sph_5_2. (b) Sph_4_3. (c) Sph_6_2. (d) Sph_10_2. (e) Sph_9_2. (f) Pat1. (g) Pat2. (h) Long1. (i) Sizes5. (j) Spiral. (k) Square1. (l) Square4. (m) Twenty. (n) Fourty.

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Fig 5 Expand