Metric Spaces Under Interval Uncertainty: Towards an Adequate Definition

被引：0

作者：

Afravi, Mahdokht ^{[1
]}

Kreinovich, Vladik ^{[1
]}

Dumrongpokaphoan, Thongchai ^{[2
]}

机构：

[1] Univ Texas El Paso, Dept Comp Sci, El Paso, TX 79968 USA

[2] Chiang Mai Univ, Dept Math, Fac Sci, Chiang Mai, Thailand

来源：

ADVANCES IN COMPUTATIONAL INTELLIGENCE, MICAI 2016, PT I | 2017年 / 10061卷

基金：

美国国家科学基金会;

关键词：

D O I：

10.1007/978-3-319-62434-1_18

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

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.

引用

页码：219 / 227

页数：9

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