Accéder directement au contenu Accéder directement à la navigation
Article dans une revue

Thick gradual intervals: An alternative interpretation of type-2 fuzzy intervals and its potential use in type-2 fuzzy computations

Reda Boukezzoula 1 Luc Jaulin 2 Laurent Foulloy 1
2 Lab-STICC_ENSTAB_CID_PRASYS
Lab-STICC - Laboratoire des sciences et techniques de l'information, de la communication et de la connaissance
Abstract : This paper proposes a new interpretation of type-2 fuzzy intervals (T2FIs) through the joint use of gradual intervals (GIs) and thick intervals (TIs). In this framework, a T2FI is viewed as a thick gradual interval (TGI). This new representation gives an original concept for the manipulation of T2FIs according to the thick gradual representation. Furthermore, this vision allows an extension of the interval arithmetic arsenal and reasoning to the framework of T2FIs. The proposed approach can be regarded as more computationally viable, which will make T2FIs computations more useful in applied scenarios. As an illustration, the proposed concept is used to implement the elementary arithmetic operations on T2FIs. The potentialities of the TGI approach have been validated in the frameworks of T2FI aggregation operators and T2FI regression.
Type de document :
Article dans une revue
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-02265802
Contributeur : Reda Boukezzoula <>
Soumis le : lundi 12 août 2019 - 14:22:40
Dernière modification le : vendredi 6 novembre 2020 - 03:33:21

Identifiants

Citation

Reda Boukezzoula, Luc Jaulin, Laurent Foulloy. Thick gradual intervals: An alternative interpretation of type-2 fuzzy intervals and its potential use in type-2 fuzzy computations. Engineering Applications of Artificial Intelligence, Elsevier, 2019, 85, pp.691-712. ⟨10.1016/j.engappai.2019.07.014⟩. ⟨hal-02265802⟩

Partager

Métriques

Consultations de la notice

148