The absolute additivity and fuzzy additivity of sugeno integral

Authors:
Congxin Wu;Liang Zhao
Affiliations:
Department of Mathematics, Harbin Institute of Technology, Harbin, China;Department of Mathematics, Harbin Institute of Technology, Harbin, China
Venue:
ICMLC'05 Proceedings of the 4th international conference on Advances in Machine Learning and Cybernetics
Year:
2005

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Abstract

In this paper, based on the foundation of the discussion of the 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 the Sugeno integral for real functions. We also discuss the fuzzy additivity of the Sugeno integral for real functions. For these two kinds of additivity, we obtain two necessary and sufficient conditions, a sufficient condition, a necessary condition and several counter examples.