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:	Mahdokht Afravi, Vladik Kreinovich, Thongchai Dumrongpokaphoan
Format:	Book Series
Published:	2018
Subjects:	Mathematics Agricultural and Biological Sciences
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028475242&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46733
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-46733
record_format	dspace
spelling	th-cmuir.6653943832-467332018-04-25T07:31:18Z Metric spaces under interval uncertainty: Towards an adequate definition Mahdokht Afravi Vladik Kreinovich Thongchai Dumrongpokaphoan Mathematics Agricultural and Biological Sciences © 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. 2018-04-25T07:00:01Z 2018-04-25T07:00:01Z 2017-01-01 Book Series 16113349 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/6653943832/46733
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics Agricultural and Biological Sciences
spellingShingle	Mathematics Agricultural and Biological Sciences Mahdokht Afravi Vladik Kreinovich Thongchai Dumrongpokaphoan Metric spaces under interval uncertainty: Towards an adequate definition
description	© 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	Mahdokht Afravi Vladik Kreinovich Thongchai Dumrongpokaphoan
author_facet	Mahdokht Afravi Vladik Kreinovich Thongchai Dumrongpokaphoan
author_sort	Mahdokht Afravi
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	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85028475242&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/46733
_version_	1681422929133305856

Metric spaces under interval uncertainty: Towards an adequate definition

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