Relaxations of associativity and preassociativity for variadic functions
Identifieur interne : 000229 ( Main/Exploration ); précédent : 000228; suivant : 000230Relaxations of associativity and preassociativity for variadic functions
Auteurs : Miguel Couceiro [France] ; Jean-Luc Marichal [Luxembourg (pays)] ; Bruno Teheux [Luxembourg (pays)]Source :
- Fuzzy Sets and Systems [ 0165-0114 ] ; 2015-11-18.
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- mix :
Abstract
In this paper we consider two properties of variadic functions, namely associativity and preassociativity, that are pertaining to several data and language processing tasks. We propose parameterized relaxations of these properties and provide their descriptions in terms of factorization results. We also give an example where these parameterized notions give rise to natural hierarchies of functions and indicate their potential use in measuring the degrees of associativeness and preassociativeness. We illustrate these results by several examples and constructions and discuss some open problems that lead to further directions of research.
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We propose parameterized relaxations of these properties and provide their descriptions in terms of factorization results. We also give an example where these parameterized notions give rise to natural hierarchies of functions and indicate their potential use in measuring the degrees of associativeness and preassociativeness. We illustrate these results by several examples and constructions and discuss some open problems that lead to further directions of research.</div></front></TEI><affiliations><list><country><li>France</li><li>Luxembourg (pays)</li></country><region><li>Grand Est</li><li>Lorraine (région)</li></region><settlement><li>Metz</li><li>Nancy</li></settlement><orgName><li>Université de Lorraine</li></orgName></list><tree><country name="France"><region name="Grand Est"><name sortKey="Couceiro, Miguel" sort="Couceiro, Miguel" uniqKey="Couceiro M" first="Miguel" last="Couceiro">Miguel Couceiro</name></region></country><country name="Luxembourg (pays)"><noRegion><name sortKey="Marichal, Jean Luc" sort="Marichal, Jean Luc" uniqKey="Marichal J" first="Jean-Luc" last="Marichal">Jean-Luc Marichal</name></noRegion><name sortKey="Teheux, Bruno" sort="Teheux, Bruno" uniqKey="Teheux B" first="Bruno" last="Teheux">Bruno Teheux</name></country></tree></affiliations></record>Pour manipuler ce document sous Unix (Dilib)
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