Tversky index [SEP] named after
Tversky index
The Tversky index, named after Amos Tversky, is an asymmetric similarity measure on sets that compares a variant to a prototype. The Tversky index can be seen as a generalization of Dice's coefficient and Tanimoto coefficient (aka Jaccard index).
For sets "X" and "Y" the Tversky index is a number between 0 and 1 given by
formula_1,
Here, formula_2 denotes the relative complement of Y in X.
Further, formula_3 are parameters of the Tversky index. Setting formula_4 produces
between samples.
where "I" is an index of diversity, "I" and "I" are the maximum and minimum values of "I" between the samples being compared.
Indices for comparison between two or more samples Loevinger's coefficient.
Loevinger has suggested a coefficient "H" defined as follows:
where "p" and "p" are the maximum and minimum proportions in the sample.
Indices for comparison between two or more samples Tversky index.
The Tversky index is an asymmetric measure