Table 2 Explanations for each cluster in moon-shaped dataset.

Cluster1

[\(-1.12\le x_{1}\le -0.827\), \(-0.14\le x_{2}\le 0.55\)]

\(\cup\) [\(-0.82 \le x_{1}\le 0.55\), \(0.63 \le x_{2}\le 1.13\)]

\(\cup\) [\(0.56\le x_{1}\le 1.05\), \(-0.04\le x_{2}\le 0.99\)]

Cluster2

[\(-0.21\le x_{1}\le 0.37\), \(-0.29\le x_{2}\le 0.56\)]

\(\cup\) [\(0.37 \le x_{1}\le 1.68\), \(-0.65 \le x_{2}\le -0.19\)]

\(\cup\) [\(1.68\le x_{1}\le 2.04\), \(0.42\le x_{2}\le 0.53\)]