DocumentCode
1674011
Title
Order continuity of fuzzy measure and convergence of measurable functions sequence
Author
Li, Jun
Author_Institution
Dept. of Appl. Math., Southeast Univ., Nanjing, China
Volume
1
fYear
2001
fDate
6/23/1905 12:00:00 AM
Firstpage
170
Lastpage
171
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 2001. The 10th IEEE International Conference on
Conference_Location
Melbourne, Vic.
Print_ISBN
0-7803-7293-X
Type
conf
DOI
10.1109/FUZZ.2001.1007274
Filename
1007274
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