Hierarchies measuring qualitative variables

Serguei Levachkine, Adolfo Guzmán-Arenas

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review

17 Scopus citations

Abstract

Qualitative variables take symbolic values, such as hot, shoe, Europe or France. Sometimes, the values may be arranged in layers or levels of detail. For instance, the variable place_of_origin takes as level-1 values European, African... as level-2 values French, German... as level-3 values Californian, Texan... The paper describes a hierarchy, a mathematical construct among these variables. The confusion resulting when using a value instead of another is defined, as well as the closeness to which object o fulfills predicate P. Other operations among and properties of hierarchical values are derived. Hierarchies are compared with ontologies. Hierarchies find use in measuring linguistic relatedness or similarity. Hierarchical variables abound and are commonly used, often with suggestive string values, without fully realizing or exploiting its properties. We deal with arbitrary hierarchies. Examples are given.

Original languageEnglish
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsAlexander Gelbukh
PublisherSpringer Verlag
Pages262-274
Number of pages13
ISBN (Print)3540210067, 9783540210061
DOIs
StatePublished - 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume2945
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

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