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Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum

Susana Díaz, Susana Montes, Bernard De Baets (2004)

Kybernetika

Transitivity is a fundamental notion in preference modelling. In this work we study this property in the framework of additive fuzzy preference structures. In particular, we depart from a large preference relation that is transitive w.r.t. the nilpotent minimum t-norm and decompose it into an indifference and strict preference relation by means of generators based on t-norms, i. e. using a Frank t-norm as indifference generator. We identify the strongest type of transitivity these indifference and...

Two operations of merging and splitting components in a chain graph

Milan Studený, Alberto Roverato, Šárka Štěpánová (2009)

Kybernetika

In this paper we study two operations of merging components in a chain graph, which appear to be elementary operations yielding an equivalent graph in the respective sense. At first, we recall basic results on the operation of feasible merging components, which is related to classic LWF (Lauritzen, Wermuth and Frydenberg) Markov equivalence of chain graphs. These results are used to get a graphical characterisation of factorisation equivalence of classic chain graphs. As another example of the use...

Twofold integral and multi-step Choquet integral

Yasuo Narukawa, Vicenç Torra (2004)

Kybernetika

In this work we study some properties of the twofold integral and, in particular, its relation with the 2-step Choquet integral. First, we prove that the Sugeno integral can be represented as a 2-step Choquet integral. Then, we turn into the twofold integral studying some of its properties, establishing relationships between this integral and the Choquet and Sugeno ones and proving that it can be represented in terms of 2-step Choquet integral.

Una aplicación de la técnica multiedit-condensing a la segmentación de escenas naturales en color.

Francisco Ferri Rabasa, Enrique Vidal Ruiz (1991)

Qüestiió

Se presenta una adaptación de la técnica Multiedit-Condensing (MC) recientemente aplicada a algunos problemas en Reconocimiento de Formas, a un problema de segmentación de imágenes que se encuadra dentro del marco general del Análisis de Imagen en Robótica. Se presenta una revisión de los fundamentos de dicha técnica y se justifica su uso para la solución del problema propuesto. Dicho problema consiste básicamente en la separación de las distintas zonas de interés en una imagen, según su color y...

Unavoidable Set: Extension and Reduction

Phan Trung Huy, Nguyen Huong Lam (2010)

RAIRO - Theoretical Informatics and Applications

We give an explicit criterion for unavoidability of word sets. We characterize extendible, finitely and infinitely as well, elements in them. We furnish a reasonable upper bound and an exponential lower bound on the maximum leghth of words in a reduced unavoidable set of a given cardinality.

Une nouvelle approche basée sur le treillis de Galois, pour l'apprentissage de concepts

Engelbert Mephu Nguifo (1993)

Mathématiques et Sciences Humaines

L'apprentissage automatique à partir d'exemples consiste généralement à caractériser un ensemble d'objets dénotant un concept. Nous avons développé deux méthodes d'apprentissage symbolique, LEGAL et LEGAL-E, qui s'appuient sur le même modèle d'apprentissage, et utilisent une technique de généralisation descendante, basée sur la logique des propositions et sur la structure de treillis de Galois, pour produire un ensemble de descriptions structurées et ordonnées. Elles diffèrent dans leur approche...

Uniform deterministic equivalent of additive functionals and non-parametric drift estimation for one-dimensional recurrent diffusions

D. Loukianova, O. Loukianov (2008)

Annales de l'I.H.P. Probabilités et statistiques

Usually the problem of drift estimation for a diffusion process is considered under the hypothesis of ergodicity. It is less often considered under the hypothesis of null-recurrence, simply because there are fewer limit theorems and existing ones do not apply to the whole null-recurrent class. The aim of this paper is to provide some limit theorems for additive functionals and martingales of a general (ergodic or null) recurrent diffusion which would allow us to have a somewhat unified approach...

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