Refereed full papers (journals, book chapters, international conferences)

2003

@article{Lei2003,
	vgclass =	{refpap},
	author =	{Lutz Leischner},
	title =	{Additive similarity measures},
	journal =	{Discrete Applied Mathematics},
	volume =	{127},
	number =	{2},
	pages =	{303--318},
	month =	{April},
	year =	{2003},
	url =	{http://dx.doi.org/10.1016/S0166-218X(02)00212-3},
	abstract =	{Following the approach of Tversky's contrast model,
	similarity measures are introduced as order-preserving maps from
	specific ordered sets into the non-negative reals. The analysis of this
	class of functions gives rise to the definition of additive similarity
	measures that induce a matroid on their domain. An explicit
	representation of this matroid is given that can be used to directly
	determine the additive extension of a map from the basis of the
	matroid. In addition, a criteria is given to check, whether an additive
	map is a similarity measure or not.},
}