On maxitive integration
نویسنده
چکیده
The Shilkret integral is maxitive (i.e., the integral of a pointwise supremum of functions is the supremum of their integrals), but defined only for nonnegative functions. In the present paper, some properties of this integral (such as subadditivity and a law of iterated expectations) are studied, in comparison with the additive and Choquet integrals. Furthermore, the definition of a maxitive integral for all real functions is discussed. In particular, a convex, maxitive integral is introduced and some of its properties are derived.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 304 شماره
صفحات -
تاریخ انتشار 2016