A conditional, a fuzzy and a probabilistic interpretation of self-organising maps

• URL: http://arxiv.org/abs/2103.06854v1
• Date: Thu, 11 Mar 2021 18:31:00 GMT
• Title: A conditional, a fuzzy and a probabilistic interpretation of self-organising maps
• Authors: Laura Giordano, Valentina Gliozzi, Daniele Theseider Dupr\'e
• Abstract summary: We establish a link between preferential semantics for description logics and self-organising maps. We show that a concept-wise multipreference semantics can be used to provide a logical interpretation of SOMs.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In this paper we establish a link between preferential semantics for description logics and self-organising maps, which have been proposed as possible candidates to explain the psychological mechanisms underlying category generalisation. In particular, we show that a concept-wise multipreference semantics, which takes into account preferences with respect to different concepts and has been recently proposed for defeasible description logics, can be used to to provide a logical interpretation of SOMs. We also provide a logical interpretation of SOMs in terms of a fuzzy description logic as well as a probabilistic account.

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