Title :
Three kinds of the additivity of Sugeno integral for real functions
Author :
Wu, Cong-Xin ; Zhao, Liang
Author_Institution :
Dept. of Math., Harbin Inst. of Technol., China
Abstract :
In this paper, based on the foundation of the discussion of Sugeno integral for real functions which was presented by Wu Congxin and Mamadou in 2003, we introduce and consider the concept of the absolute additivity of Sugeno integral for real functions, we also discuss the ordinary additivity and fuzzy additivity of Sugeno integral for real functions. For these three kinds of additivity, we obtain three necessary and sufficient conditions, a sufficient condition, a necessary condition and several counter examples.
Keywords :
functions; fuzzy logic; fuzzy set theory; integral equations; Sugeno integral; absolute additivity; fuzzy additivity; fuzzy measure; real functions; Algebra; Computer science; Control theory; Counting circuits; Cybernetics; Extraterrestrial measurements; Fuzzy control; Machine learning; Mathematics; Sufficient conditions; Absolute additivity; Additivity; Fuzzy additivity; Fuzzy measure; Sugeno integral for real functions;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527944
