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Multiple-valued extensions of analogical proportions.

Dubois, Didier and Prade, Henri and Richard, Gilles Multiple-valued extensions of analogical proportions. (2015) Fuzzy Sets and Systems, 292 (C). 193-202. ISSN 0165-0114

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Official URL: http://dx.doi.org/10.1016/j.fss.2015.03.019

Abstract

This paper provides a discussion of different multiple-valued extensions of logical expressions of analogical proportions that are equivalent in the Boolean case. It is advocated that these extensions may serve different goals, or at least reflect different views. Boolean expressions of analogical proportions, modeling statements of the form A is to B as C is to D, are first restated and commented. An approach to handling the case of binary attributes that may not apply in the Boolean setting is also outlined via a proper encoding.

Item Type:Article
Additional Information:Thanks to SCITEPRESS (Science and Technology Publications) editor. The definitive version is available at http://www.scitepress.org The original PDF is available at: http://www.sciencedirect.com/science/article/pii/S0165011415001682?np=y&npKey=c15c2dbe78ff2884e71367183e54db68bdc1895bb823d8f2c32e9cc5db6d975f
HAL Id:hal-01475021
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
Université de Toulouse > Université Toulouse - Jean Jaurès - UT2J (FRANCE)
Université de Toulouse > Université Toulouse 1 Capitole - UT1 (FRANCE)
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Deposited By: IRIT IRIT
Deposited On:07 Feb 2017 13:11

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