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2016 | OriginalPaper | Chapter

A Hybrid Approach to Closeness in the Framework of Order of Magnitude Qualitative Reasoning

Authors : Alfredo Burrieza, Emilio Muñoz-Velasco, Manuel Ojeda-Aciego

Published in: Hybrid Artificial Intelligent Systems

Publisher: Springer International Publishing

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Abstract

Qualitative reasoning deals with information expressed in terms of qualitative classes and relations among them, such as comparability, negligibility or closeness. In this paper, we focus on the notion of closeness using a hybrid approach which is based on logic, order-of-magnitude reasoning, and on the so-called proximity structures; these structures will be used to decide the elements that are close to each other. Some of the intuitions of this approach are explained on the basis of examples. Moreover, we show some capabilities of the logic with respect to expressivity in order to denote particular positions of the proximity intervals.

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Footnotes
1
This is a well-known effect in marketing.
 
2
There are at least as many elements in \(\mathcal{C}\) as qualitative classes.
 
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Metadata
Title
A Hybrid Approach to Closeness in the Framework of Order of Magnitude Qualitative Reasoning
Authors
Alfredo Burrieza
Emilio Muñoz-Velasco
Manuel Ojeda-Aciego
Copyright Year
2016
Book
Hybrid Artificial Intelligent Systems

Print ISBN: 978-3-319-32033-5

Electronic ISBN: 978-3-319-32034-2

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-32034-2_60

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