Publication Date



Technical Report: UTEP-CS-16-67a

Published in Proceedings of the 15th Mexican International Conference on Artificial Intelligence MICAI'2016, Cancun, Mexico, October 25-29, 2016, Springer Lecture Notes in Artificial Intelligence.


In many practical situations, we only know the bounds on the distances. A natural question is: knowing these bounds, can we check whether there exists a metric whose distance always lie within these bounds -- or such a metric is not possible and thus, the bounds are inconsistent. In this paper, we provide an answer to this question. We also describe possible applications of this result to a description of opposite notions in commonsense reasoning.

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