An approach to pseudo-integration of set-valued functions. (English) Zbl 1217.28030
Summary: The set-valued function in general is an important mathematical notion that plays a crucial role in several practical areas. This paper does not focus only on the pseudo-integration of set-valued functions in general, but also on a special case, namely on the pseudo-integration of interval-valued functions. Therefore, an approach to the integration of set (interval)-valued functions based on both classical Aumann’s approach and pseudo-analysis’ tools is given. Also, some important properties of this type of integral are investigated.
MSC:
| 28E10 | Fuzzy measure theory |
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