Asymmetric empirical similarity
The paper suggests a similarity function for applications of empirical similarity theory in which the notion of similarity is asymmetric. I propose defining similarity in terms of a quasimetric. I suggest a particular quasimetric and explore the properties of the empirical similarity model given this function. The proposed function belongs to the class of quasimetrics induced by skewed norms. Finally, I provide a skewness axiom that, when imposed in lieu of the symmetry axiom in the main result of Billot et al. (2008), characterizes an exponential similarity function based on a skewed norm.
Year of publication: |
2013
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Authors: | Teitelbaum, Joshua C. |
Published in: |
Mathematical Social Sciences. - Elsevier, ISSN 0165-4896. - Vol. 66.2013, 3, p. 346-351
|
Publisher: |
Elsevier |
Saved in:
Online Resource
Saved in favorites
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