%0 Journal Article %T Thick Fuzzy Sets (TFSs) and Their Potential Use in Uncertain Fuzzy Computations and Modeling %+ Laboratoire d'Informatique, Systèmes, Traitement de l'Information et de la Connaissance (LISTIC) %+ Equipe ROBotics for EXploration (Lab-STICC_ROBEX) %+ École Nationale Supérieure de Techniques Avancées Bretagne (ENSTA Bretagne) %A Boukezzoula, Reda %A Jaulin, Luc %A Desrochers, Benoît %A Coquin, Didier %< avec comité de lecture %@ 1063-6706 %J IEEE Transactions on Fuzzy Systems %I Institute of Electrical and Electronics Engineers %V 29 %N 11 %P 3334 - 3348 %8 2021-11 %D 2021 %R 10.1109/tfuzz.2020.3018550 %K Type-1 fuzzy sets (T1FSs) %K Type-2 fuzzy sets (T2FSs) %K Crisp sets (CSs) %K Thick sets (TSs) %K Thick fuzzy sets (TFSs) %K Underwater robot %Z Engineering Sciences [physics] %Z Engineering Sciences [physics]/AutomaticJournal articles %X 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. %G English %2 https://ensta-bretagne.hal.science/hal-03128908/document %2 https://ensta-bretagne.hal.science/hal-03128908/file/paper_reda_tfs.pdf %L hal-03128908 %U https://ensta-bretagne.hal.science/hal-03128908 %~ UNIV-BREST %~ INSTITUT-TELECOM %~ UNIV-SAVOIE %~ ENSTA-BRETAGNE %~ CNRS %~ UNIV-UBS %~ ENSTA-BRETAGNE-STIC %~ ENIB %~ LAB-STICC %~ TDS-MACS %~ LISTIC %~ INSTITUTS-TELECOM %~ LAB-STICC_ROBEX