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Analogical proportions and analogical reasoning - An introduction

Prade, Henri and Richard, Gilles Analogical proportions and analogical reasoning - An introduction. (2017) In: 25th International Conference on Case Based Reasoning (ICCBR 2017), 26 June 2017 - 28 June 2017 (Trondheim, Norway).

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Official URL: https://doi.org/10.1007/978-3-319-61030-6_2

Abstract

Analogical proportions are statements of the form "a is to b as c is to d". For more than a decade now, their formalization and use have raised the interest of a number of researchers. In this talk we shall primarily focus on their modeling in logical settings, both in the Boolean and in the multiple-valued cases. This logical view makes clear that analogy is as much a matter of dissimilarity as a matter of similarity. Moreover analogical proportions emerge as being especially remarkable in the framework of logical proportions. The analogical proportion and seven other code independent logical proportions can be shown as being of particular interest. Besides, analogical proportions are at the basis of an inference mechanism which enables us to complete or create a fourth item from three other items. The relation with case-based reasoning and case-based decision is emphasized. Potential applications and current developments are also discussed.

Item Type:Conference or Workshop Item (Paper)
Additional Information:Thanks to Springer editor. This papers appears in volume 10339 of Lecture Notes in Computer Science ISSN : 0302-9743 ISBN 978-3-319-61029-0 The original PDF is available at: https://link.springer.com/chapter/10.1007/978-3-319-61030-6_2
HAL Id:hal-02456756
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
Other partners > University of Technology, Sydney - UTS (AUSTRALIA)
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Deposited On:23 Jan 2020 09:18

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