An approach to pseudo-integration of set-valued functions

Authors:
Tatjana Grbić;Ivana Štajner-Papuga;Mirjana Štrboja
Affiliations:
Faculty of Technical Sciences, University of Novi Sad, Trg D. Obradovica 6, Novi Sad, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovica 4, Novi Sad, Serbia;Department of Mathematics and Informatics, University of Novi Sad, Trg D. Obradovica 4, Novi Sad, Serbia
Venue:
Information Sciences: an International Journal
Year:
2011

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Abstract

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.