Assessment of the environmental acceptability of refrigerants by discrete mathematics: cluster analysis and Hasse diagram technique

We discuss two dissimilarity measures for quantifying the dissimilarity between dendrograms defined over the same set. They are: partition metric and cluster metric. The first one is a standard method comparing dendrograms through their partitions obtained by deleting links of the dendrogram. The cluster metric is a novel method counting the number of common clusters between two dendrograms. We describe the two methods in a similar mathematical background. Finally, we remark the fact that cluster metric is a measure based on the concept of cluster that is the structural unit of a dendrogram and which contain all the structural information of the dendrogram.

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