Similarity Measure - function that quantifies similarity Dissimilarity Measure - numerical measure of how different two objects are ( or )

Data Matrix

Characteristics in Data Characteristics describe single attributes, dissimilarity matrix uses multiple attributes Data Matrix

Dissimilarity Matrix

Object by Object structure Stores dissimilarity for all pairs of objects Dissimilarity is distance Usually symmetric (thus a triangular matrix) Distance function are different for real, boolean, categorical, ordinal, ratio and vector

Distance Functions: Quantitative:

Nominal:

Ordinal:

Ratio-Scaled: