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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th-cmuir.6653943832-410262017-09-28T04:15:10Z Metric spaces under interval uncertainty: Towards an adequate definition Afravi M. Kreinovich V. Dumrongpokaphoan T. © 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. 2017-09-28T04:15:10Z 2017-09-28T04:15:10Z 2017-01-01 Book Series 03029743 2-s2.0-85028475242 10.1007/978-3-319-62434-1_18 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028475242&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41026 |
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© 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. |
| format |
Book Series |
| author |
Afravi M. Kreinovich V. Dumrongpokaphoan T. |
| spellingShingle |
Afravi M. Kreinovich V. Dumrongpokaphoan T. Metric spaces under interval uncertainty: Towards an adequate definition |
| author_facet |
Afravi M. Kreinovich V. Dumrongpokaphoan T. |
| author_sort |
Afravi M. |
| title |
Metric spaces under interval uncertainty: Towards an adequate definition |
| title_short |
Metric spaces under interval uncertainty: Towards an adequate definition |
| title_full |
Metric spaces under interval uncertainty: Towards an adequate definition |
| title_fullStr |
Metric spaces under interval uncertainty: Towards an adequate definition |
| title_full_unstemmed |
Metric spaces under interval uncertainty: Towards an adequate definition |
| title_sort |
metric spaces under interval uncertainty: towards an adequate definition |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028475242&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/41026 |
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1681421926035095552 |