Title :
An extension on Sugeno integral and Pettis-Sugeno integral
Author :
Congxin, Wu ; Traore, Mamadou
Author_Institution :
Dept. of Math., Harbin Inst. of Technol., China
Abstract :
We extend the concept of Sugeno fuzzy integral from nonnegative fuzzy measurable functions to extended real-valued fuzzy measurable functions; several necessary and sufficient conditions of absolute (S)-integrability for extended real-valued fuzzy measurable functions are given. Meanwhile, the space (S(μ), ρ(.,.)) of all fuzzy measurable functions is proved to be a metric space under a necessary and sufficient condition. Finally, as an application the Pettis-Sugeno integral is introduced
Keywords :
fuzzy logic; fuzzy set theory; integral equations; Pettis-Sugeno integral; Sugeno integral; absolute integrability; fuzzy integral; fuzzy sets; metric space; nonnegative fuzzy measurable functions; real-valued fuzzy measurable functions; Extraterrestrial measurements; Fuzzy sets; Q measurement;
Conference_Titel :
IFSA World Congress and 20th NAFIPS International Conference, 2001. Joint 9th
Conference_Location :
Vancouver, BC
Print_ISBN :
0-7803-7078-3
DOI :
10.1109/NAFIPS.2001.944301
