Multiple-valued extensions of analogical proportions

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• 作者：Didier Dubois ^{dubois@irit.fr" class="auth_mail" title="E-mail the corresponding author} ; Henri Prade ; ^{prade@irit.fr" class="auth_mail" title="E-mail the corresponding author} ; Gilles Richard ^{richard@irit.fr" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Multiple-valued logic ; Analogical proportion ; Similarity ; Dissimilarity ; Interpolation
• 刊名：Fuzzy Sets and Systems
• 出版年：2016
• 出版时间：1 June 2016
• 年：2016
• 卷：292
• 期：Complete
• 页码：193-202
• 全文大小：315 K

文摘

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.