Title :
Order continuity of fuzzy measure and convergence of measurable functions sequence
Author_Institution :
Dept. of Appl. Math., Southeast Univ., Nanjing, China
fDate :
6/23/1905 12:00:00 AM
Abstract :
The strong order continuity of fuzzy measure is introduced, and its several properties are presented. By using the new concept, Lebesgue´s theorem on fuzzy measure is generalized substantially. It is shown that the strong order continuity is a sufficient and necessary condition of which Lebesgue´s theorem in classical measure theory remains valid for a nonnegative monotone set function
Keywords :
convergence; fuzzy set theory; measurement theory; sequences; Lebesgue theorem; fuzzy measure; measurable function sequence convergence; measure theory; necessary and sufficient condition; nonnegative monotone set function; strong order continuity; Convergence; Extraterrestrial measurements; Fuzzy set theory; Fuzzy sets; Integral equations; Mathematics;
Conference_Titel :
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-7293-X
DOI :
10.1109/FUZZ.2001.1007274
