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From Common Sense Reasoning to Neural Network Models through Multiple Preferences: an overview
In this paper we discuss the relationships between conditional and preferential logics and neural network models, based on a multi-preferential semantics.
A conditional, a fuzzy and a probabilistic interpretation of self-organising maps
In particular, we show that the input/output behavior of a Self-Organising Map after training can be described by a fuzzy description logic interpretation as well as by a preferential interpretation, based on a concept-wise multipreference semantics, which takes into account preferences with respect to different concepts and has been recently proposed for ranked and for weighted defeasible description logics.
On a plausible concept-wise multipreference semantics and its relations with self-organising maps
Inthispaperwedescribeaconcept-wisemulti-preferencesemantics for description logic which has its root in the preferential approach for modeling defeasible reasoning in knowledge representation.
Reasoning about Typicality and Probabilities in Preferential Description Logics
In this work we describe preferential Description Logics of typicality, a nonmonotonic extension of standard Description Logics by means of a typicality operator T allowing to extend a knowledge base with inclusions of the form T(C) v D, whose intuitive meaning is that normally/typically Cs are also Ds.
A reconstruction of the multipreference closure
Here, we reconstruct the notion of MP-closure in the propositional case and we show that it is a natural variant of Lehmann's lexicographic closure.
Reasoning about exceptions in ontologies: from the lexicographic closure to the skeptical closure
Reasoning about exceptions in ontologies is nowadays one of the challenges the description logics community is facing.
Self-organizing maps and generalization: an algorithmic description of Numerosity and Variability Effects
Category, or property generalization is a central function in the human cognition.
Reasoning about multiple aspects in DLs: Semantics and Closure Construction
Starting from the observation that rational closure has the undesirable property of being an "all or nothing" mechanism, we here propose a multipreferential semantics, which enriches the preferential semantics underlying rational closure in order to separately deal with the inheritance of different properties in an ontology with exceptions.
A strengthening of rational closure in DLs: reasoning about multiple aspects
We propose a logical analysis of the concept of typicality, central in human cognition (Rosch, 1978).
Rational Closure in SHIQ
We define a notion of rational closure for the logic SHIQ, which does not enjoys the finite model property, building on the notion of rational closure introduced by Lehmann and Magidor in [23].
On Rational Closure in Description Logics of Typicality
We show that this semantics captures exactly a notion of rational closure which is a natural extension to Description Logics of Lehmann and Magidor's original one.
