Metric spaces under interval uncertainty: Towards an adequate definition
© Springer International Publishing AG 2017. 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 lies within these bounds – or such a metric is not possible and thus, the...
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| Main Authors: | , , |
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| Format: | Book Series |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028475242&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/57161 |
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| Institution: | Chiang Mai University |
| Summary: | © Springer International Publishing AG 2017. 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 lies 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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