{ "id": "1710.04124", "version": "v1", "published": "2017-10-11T15:30:17.000Z", "updated": "2017-10-11T15:30:17.000Z", "title": "Pettis integrability of fuzzy mappings with values in arbitrary Banach spaces", "authors": [ "L. Di Piazza", "V. Marraffa" ], "categories": [ "math.FA" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-10-11T15:30:17.000Z" } ], "analyses": { "keywords": [ "arbitrary banach spaces", "fuzzy mapping", "pettis integrability", "pettis integral", "conditions" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }