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.

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