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

Thick Fuzzy Sets (TFSs) and Their Potential Use in Uncertain Fuzzy Computations and Modeling

Reda Boukezzoula 1 Luc Jaulin 2 Benoît Desrochers 2 Didier Coquin 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 aims at proposing the concept of thick fuzzy sets (TFSs). A TFS is based on the joint use of thick sets (TSs) and -cuts concepts. A TFS is represented by a family of nested TSs. A TS is an uncertain set, which is represented by a pair of crisp sets (CSs). These CSs characterize the upper and lower bounds of the TS. Therefore, a TS can be regarded as an interval of CSs. In this framework, as a type-1 fuzzy set (T1FS) is regarded as a family of nested CSs, a TFS can be represented by a family of nested TSs. Furthermore, according to the vertical dimension, a TFS can be regarded as an interval with T1FS bounds. The potentialities of the TFS concept have been validated using application examples where a real-world application for modeling the zone explored by an underwater robot is given.
Liste complète des métadonnées

https://hal-ensta-bretagne.archives-ouvertes.fr/hal-03128908
Contributeur : Marie Briec <>
Soumis le : mardi 2 février 2021 - 15:22:30
Dernière modification le : mercredi 21 avril 2021 - 11:18:03

Fichier

 Accès restreint
Fichier visible le : 2021-08-02

Connectez-vous pour demander l'accès au fichier

Identifiants

Citation

Reda Boukezzoula, Luc Jaulin, Benoît Desrochers, Didier Coquin. Thick Fuzzy Sets (TFSs) and Their Potential Use in Uncertain Fuzzy Computations and Modeling. IEEE Transactions on Fuzzy Systems, Institute of Electrical and Electronics Engineers, In press, pp.1 - 14. ⟨10.1109/tfuzz.2020.3018550⟩. ⟨hal-03128908⟩

Partager

Métriques

Consultations de la notice

89