科研之友
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摘要
In this paper, we give theoretical foundations for modeling distance functions on the usual Euclidean space R-n, where distance may refer to physical kilometers, liters of fuel consumed, time spent in traveling, or transportation cost. In our approach, a distance function d is derived from a function F-0 called the fundamental function of d. Our distance functions, unlike metrics, can be asymmetric and non-positive definite, and unlike the Lp norms, they can be non-uniform. We illustrate our theoretical framework by modeling an asymmetric and non-uniform distance function on R-2 which can take negative values.
- 出版日期2010-12
