The general Pettis-Sugeno integral of vector multifunctions relative to a vector fuzzy multimeasure

摘要

In this paper, we define and study the general Pettis-Sugeno integral of a vector multifunction relative to a vector fuzzy multimeasure, both taking values in a locally convex space X, ordered by a closed convex pointed cone X+, with nonempty interior. Several classic properties of this integral and some estimation and comparative results with the Pettis-Lebesgue integral are established. (C) 2017 Elsevier B.V. All rights reserved.