In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable.
Di Piazza, L., Marraffa, V. (2017). Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces. MATHEMATICA SLOVACA, 67(67), 1359-1370 [DOI: 10.1515/ms-2017-0057].
Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces
L. Di Piazza;V. Marraffa
2017-01-01
Abstract
In this paper we study the Pettis integral of fuzzy mappings in arbitrary Banach spaces. We present some properties of the Pettis integral of fuzzy mappings and we give conditions under which a scalarly integrable fuzzy mapping is Pettis integrable.
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