Multiple-valued extensions of analogical proportions
نویسندگان
چکیده
منابع مشابه
Analogical Proportions and Multiple-Valued Logics
Recently, a propositional logic modeling of analogical proportions, i.e., statements of the form “A is to B as C is to D”, has been proposed, and has then led to introduce new related proportions in a general setting. This framework is well-suited for analogical reasoning and classification tasks about situations described by means of Boolean properties. There is a clear need for extending this...
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Formal Models of Analogical Proportions Natural Language Processing (NLP) applications rely, in an increasing number of operational contexts, on machine learning mechanisms which are able to extract, in an entirely automated manner, linguistic regularities from annotated corpora. Among these, analogical learning is characterized by the systematic exploitation, in a symbolic machine learning app...
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Given a 4-tuple of Boolean variables (a, b, c, d), logical proportions are modeled by a pair of equivalences relating similarity indicators (a∧ b and a ∧ b), or dissimilarity indicators (a ∧ b and a ∧ b) pertaining to the pair (a, b), to the ones associated with the pair (c, d). There are 120 semantically distinct logical proportions. One of them models the analogical proportion which correspon...
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Analogical proportions are statements involving four entities, of the form ‘A is to B as C is to D’. They play an important role in analogical reasoning. Their formalization has received much attention from different researchers in the last decade, in particular in a propositional logic setting. Analogical proportions have also been algebraically defined in terms of factorization, as a generali...
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This paper presents a novel approach to the prediction of null values in relational databases, based on the notion of analogical proportion. We show in particular how an algorithm initially proposed in a classification context can be adapted to this purpose. This work focuses on the case of a transactional database, where attributes are Boolean. The experimental results reported here, even thou...
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ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2016
ISSN: 0165-0114
DOI: 10.1016/j.fss.2015.03.019