2001
@article{BMN2001,
vgclass = {refpap},
author = {De Baets, B., and De Meyer, H., and H. Naessens},
title = {A class of rational cardinality-based similarity
measures},
journal = {Journal of Computational and Applied Mathematics},
volume = {132},
number = {1},
pages = {51--69},
month = {July},
year = {2001},
url = {http://dx.doi.org/10.1016/S0377-0427(00)00596-3},
abstract = {A systematic way of generating similarity measures for
ordinary sets is presented in the form of a rational expression solely
based on cardinalities of the sets involved. Twenty-eight measures are
examined carefully and completely classified on the basis of their
boundary behaviour and properties of reflexivity and monotonicity. Two
types of reflexivity (reflexivity and local reflexivity) and three
types of monotonicity (involving, respectively, two, three and four
sets) are considered. In addition, 17 of these measures are shown to be
T-transitive, with the t-norm T ranging from the drastic product Z to
the minimum operator M. The given class of rational cardinality-based
measures covers some well-known similarity measures.},
}