Asymmetric empirical similarity

作者:Teitelbaum Joshua C*
来源:Mathematical Social Sciences, 2013, 66(3): 346-351.
DOI:10.1016/j.mathsocsci.2013.07.005

摘要

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.

  • 出版日期2013-11