Table 3 Explanations for each cluster in Iris dataset.

From: Clustering explanation based on multi-hyperrectangle

Clusters

Rule

Cluster1

[\(4.9\le \text {sepal length}\le 5.8\), \(2.3\le \text {sepal width}\le 3\), \(3\le \text {petal length}\le 4.5\), \(1\le \text {petal width}\le 1.5\)]

\(\cup\) [\(5.8\le \text {sepal length}\le 7\), \(2.2\le \text {sepal width}\le 3.4\), \(3.9\le \text {petal length}\le 5.1\), \(1.2\le \text {petal width}\le 1.8\)]

Cluster2

[\(4.3\le \text {sepal length}\le 5\), \(2.3\le \text {sepal width}\le 3.2\), \(1.1\le \text {petal length}\le 1.6\), \(0.1\le \text {petal width}\le 0.2\)]

\(\cup\) [\(4.4\le \text {sepal length}\le 5.4\), \(3.2\le \text {sepal width}\le 3.8\), \(1\le \text {petal length}\le 1.9\), \(0.1\le \text {petal width}\le 0.6\)]

\(\cup\) [\(5.1\le \text {sepal length}\le 5.8\), \(3.8\le \text {sepal width}\le 4.4\), \(1.2\le \text {petal length}\le 1.9\), \(0.1\le \text {petal width}\le 0.4\)]

Cluster3

[\(4.9\le \text {sepal length}\le 7.4\), \(2.5\le \text {sepal width}\le 3.6\), \(4.5\le \text {petal length}\le 6.3\), \(1.4\le \text {petal width}\le 2.5\)]

\(\cup\) [\(7.4\le \text {sepal length}\le 7.9\), \(2.6\le \text {sepal width}\le 3.8\), \(6.1\le \text {petal length}\le 6.9\), \(1.9\le \text {petal width}\le 2.3\)]