Characterizing quasi-metric aggregation functions

被引：7

作者：

Minana, Juan-Jose ^{[1
]}

Valero, Oscar ^{[1
]}

机构：

[1] Univ Illes Balears, Dept Ciencies Matemat & Informat, Palma De Mallorca, Spain

来源：

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS | 2019年 / 48卷 / 08期

关键词：

Quasi-metric space; aggregation; subadditive function; monotone function; triangle triplet; COMPLEXITY; SPACES;

D O I：

10.1080/03081079.2019.1671381

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we study those functions that allows us to combine a family of quasi-metrics, defined all of them on the same set, into a single one, which will be called quasi-metric aggregation functions. In particular, we characterize the quasi-metric aggregation functions and, in addition, we discuss a few of their properties. Moreover, a few methods to discard those functions that are useless as quasi-metric aggregation functions are introduced. Throughout the paper, different examples justify and illustrate the results presented. Finally, two possible fields where the developed theory can be useful are exposed.

引用

页码：890 / 909

页数：20

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