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Such systems offer valuable insight into the dynamical processes and interactions that influence cluster evolution. This study aims to detect and classify star clusters in the Milky Way that are part of double or multiple systems. Specifically, we seek to detect clusters that form gravitationally bound pairs or groups of clusters and distinguish between different types of interactions based on their physical properties and spatial distributions. We used an extensive star cluster database which includes 7167 clusters. By estimating the tidal forces acting on each cluster through the tidal factor and considering only close neighbours (within 50pc), we identified a total of 2170 star clusters forming part of double or multiple systems. Pairs were classified as binaries, capture pairs, or optical pairs based on proper motion distributions, cluster ages, and colour-magnitude diagrams. Our analysis identified 617 paired systems, and they were successfully classified using our scheme. Additionally, we found 261 groups of star clusters with three or more members, providing further evidence of the presence of multiple systems within the Milky Way that exhibit significant tidal interactions. The method we present provides an improved approach for identifying star clusters that share the same spatial volume and experience notable tidal interactions.</description><source format="bibcode">2025A&amp;A...693A.218P</source><referenceURL>https://cdsarc.cds.unistra.fr/viz-bin/cat/J/A+A/693/A218</referenceURL><type>Catalog</type><contentLevel>Research</contentLevel><relationship><relationshipType>IsServedBy</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/TAP">TAP VizieR generic service</relatedResource></relationship><relationship><relationshipType>IsServedBy</relationshipType><relatedResource>Conesearch service</relatedResource></relationship><relationship><relationshipType>related-to</relationshipType><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/673/A114">J/A+A/673/A114 : Improving the open cluster census. II. (Hunt+, 2023)</relatedResource><relatedResource ivo-id="ivo://CDS.VizieR/J/A+A/686/A42">J/A+A/686/A42 : Improving the open cluster census. III. 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